Place name of eights are ten thousands place & tens place & 80000, 80 are the values respectively.
The expanded form of a number is splitting of numbers based on place value. The place are ones, tens, hundreds, thousands, ten thousand etc
that is, the number represented by the sum of each digit multiplied by its place value is called the expanded form of a number.
Example : Expanded form of 4567 is 4000+500+60+7. where 4 is in thousands place, 5 is in hundreds place, 6 is in tens place and 7 is in ones place.
Given that, The speed of light is 186,282 miles per second.
The number is 186282.
Expanding the number, we get,
186282 = 100000+80000+6000+200+80+2
Here in the number 186282, eight present in the ten thousands place and in the tens place.
Since one eight is in ten thousands place, so the value is 80000
And the another eight is in the tens place, so the value is 80.
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Can someone help me with these 6 problems I need them within 9 mins. I’m currently in class it says to (Find the slope of each line)
See below for the calculations of the slopes of the graphs
How to determine the slope?The slope of a line is calculated using:
m= (y2 - y1)/(x2 - x1)
Using the above formula, we have:
Line 1: (-2, 0) and (3, 2)
Slope, m= (2 - 0)/(3 + 2)
m= 2/5
Hence, the slope is 2/5
Line 2: (2, -3) and (-2, 4)
Slope, m= (4 + 3)/(-2 - 2)
m= -7/4
Hence, the slope is -7/4
Line 3: (-4, -2) and (1, 3)
Slope, m= (3 + 2)/(1 + 4)
m= 1
Hence, the slope is 1
Line 4: (0, 0) and (-3, -4)
Slope, m= (-4 - 0)/(-3 - 0)
m= 4/3
Hence, the slope is 4/3
Line 5: (0, 0) and (-1, -4)
Slope, m= (-4 - 0)/(-1 - 0)
m= 4
Hence, the slope is 4
Line 6: (-2, 1) and (3, 2)
Slope, m= (2 - 1)/(3 + 2)
m= 1/5
Hence, the slope is 1/5
Line 7: (-2, -1) and (2, -4)
Slope, m= (-4 + 1)/(2 + 2)
m= -3/4
Hence, the slope is -3/4
Line 8: (-2, -3) and (-1, -4)
Slope, m= (-4 + 3)/(-1 + 2)
m= -1
Hence, the slope is -1
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4 Quick algebra 1 question for 50 points!
Only answer if you know the answer, tysm!
Define the domain and range of each function: (in the pictures)
[tex]f(x )= - 2x[/tex]
Domain: ( - ∞ , ∞ ) or ] -∞ , ∞ [Range: ( - ∞ , ∞ ) or ] -∞ , ∞ [B)[tex]g(x) = \frac{1}{2} x {}^{2} + 5[/tex]
Domain: ( - ∞ , ∞ ) or ] -∞ , ∞ [Range: [ 5 , ∞ [ or [ 5 , ∞ )C)Domain: ( - ∞ , ∞ ) or ] -∞ , ∞ [Range: ( - ∞ , ∞ ) or ] -∞ , ∞ [D)Domain: ( - ∞ , ∞ ) or ] -∞ , ∞ [Range: ( - ∞ , - 3 ] or ] - ∞ , - 3 ]#1
y=-2xDomain
(-oo,oo)Range
(-oo,oo)#2
y=0.5x²+5Domain
(-oo,oo)Range
[5,oo)#3
Its graphed
Domain=Range=(-oo,oo)
#4
Domain
(-oo,oo)Range
[-3,-oo) or (-oo,-3]
i need help plss helpp
The equation of the line in the graph given is: y = -3x - 1.
How to Write the Equation of a Line?Find the slope of the line, which is: m = rise/run.
Rise of the line = 3 units
Run = 1
Slope (m) = -3/1 = -3
Y-intercept (b) = -1 (at this point, x equals zero)
Substitute m = -3 and b = -1 into y = mx + b
y = -3x + (-1)
y = -3x - 1
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Can I please get a thorough way of how solve this question I don't understand what to do.
Answer:
HI: 17.9
GH: 22.1
Step-by-step explanation:
1) There are three trigonometric ratios for right-angled triangles.
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent.
2) Opposite to the 90° lies the hypotenuse. Opposite to the given angle lies the opposite.
Beside the given angle lies the adjacent.
3) The value of G given to us is 54°. The length of GI is 13. We are asked to find the lengths of HI and GH. We cannot find GH (we can, but I prefer the current method) without the length of HI. Let's find HI.
Tan(54) = x/13
Tan(54) × 13 = x
x = 17.89
4) We can use the Pythagorean theorem to find the length of GH. His theorem is c² = a² + b².
c² = a² + b²
c² = 13² + 17.89²
c² = 489.0521
c = √489.0521
c = 22.11
5) Round off the answers to the nearest tenth.
HI = 17.9
GH = 22.1
Use trigonometry to work out the height, v,
of the equilateral triangle below.
Give your answer in millimetres to 1 d.p.
9.5 mm
v
Answer: 8.2 mm
Step-by-step explanation:
[tex]\sin 60^{\circ}=\frac{v}{9.5}\\\\v=9.5 \sin 60^{\circ} \approx \boxed{8.2 \text{ mm}}[/tex]
Select the graph that correctly displays this system of equations and point of intersection.
The solution of the equations will be the point of intersection of the two lines
Equation of a lineA line is the shortest distance between two points. The equation of a line in standard form is given as Ax + By = C
According to the question, we are to pot the following lines.
4y +3x = 0
4y - x = 16
The solution of the equations will be the point of intersection of the two lines as attached.
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Wonder waves aquarium just opened a new tropics wing, with a large main tank and a small observation tank. there are 75 fish in the large tank, 25 of which are angelfish. there are 25 fish in the small tank, 5 of which are angelfish. do the tanks have the same ratio of angelfish to total fish?
Answer:
No, the ratio is not the same.
Step-by-step explanation:
75 total (large tank) / 25 total (small tank) = 3
25 angelfish (large tank) / 5 angelfish (small tank) = 5
The ratio of angelfish to total fish is not the same. When we scale up from the small tank to large tank in terms of total fish, we have a factor of 3. However, when we scale up from the small tank to large tank in terms of angelfish, we have a factor of 5. For the ratio to be the same, these factors would need to be identical.
Which of the following functions shows the quadratic parent function, F(x)= x2, vertically compressed?
A. G(x) = (2.5x)²
B. G(x) = x²
C. G(x) = (14x)²
D. G(x) = 5x²
If the function is vertically compressed, the resulting function will be g(x) = 3/4x^2
Vertical compression of a functionQuadratic functions are functions that has a leading degree of 2. Given the parent function f(x) = ax^2
where
2 is the exponent/degree
If the function is vertically compressed, the value of a must be less than 1, hence the possible expression when vertically compressed is g(x) = 3/4x^2
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PLEASE HURRY!!!!!!!!
Mr. Jackson has decided to open a new health club in his town. To decide whether he will have enough members to be successful, he hires a researcher to conduct a survey. What is the population from which the researcher should choose a sample?
A. People who exercise regularly.
B. Members of other health clubs in the town.
C. Trainers at other health clubs.
D. His friends and family.
Answer:
I would say b since this would tell him how many people are wiling to join a health club
Hope This Helps!!!
Rectangular prism B is the image of rectangular prism A after dilation by a scale factor of \frac{1}{2} 2 1 . If the volume of rectangular prism B is 8 m^3 3 , find the volume of rectangular prism A, the preimage.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. The volume of rectangular prism A = 64 m³
How does dilation affect length, area, and volume of an object?Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So, area of first figure = k² × area of second figure
Similarly, Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given that the Rectangular prism B is the image of rectangular prism A after dilation by a scale factor of 1/2.
Scale factor = (Length of rectangular prism B)/(Length of rectangular prism A)
1/2 = (Length of rectangular prism B)/(Length of rectangular prism A)
Now, the volume of the rectangular prism can be written as,
(Scale factor)³ = (Volume of rectangular prism B)/(Volume of rectangular prism A)
(1/2)³ = 8 m³ /(Volume of rectangular prism A)
The volume of rectangular prism A = 64 m³
Hence, The volume of rectangular prism A = 64 m³
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Solve for x. Triangle ABC is similar to Triangle FED
Answer: x=9.
Step-by-step explanation:
Triangle ABC is similar to triangle FED ⇒
[tex]\frac{77}{21} =\frac{11x+11}{30} \\\\\frac{7*11}{7*3}=\frac{11*(x+1)}{30} \\\\\frac{11}{3}*30 =11*(x+1)\\\\\frac{11*3*10}{3} =11*(x+1)\\\\11*10=11*(x+1)\\10=x+1\\9=x.[/tex]
Good luck an' have a nice day!
1/2x+1/3y=9 and 3/5x-3/4y=-3
use elimination method
(You could do this shorter, but by the time i realized that it was too late.)
First, we need one of the variables (x or y) to have the same coefficient.
Lets use the variable y, since it uses smaller numbers.
Multiply the first equation by the denominator of y, which is 3. Then multiply the second equation by the denominator of y in the second equation, which is 4.
You get:
1st equation: [tex]\frac{3}{2} x+ y = 27[/tex]
2nd equation: [tex]\frac{12}{5}x - 3y=-12[/tex]
Now we need to multiply the first equation by 3, so we can have "3y" in both of the equations.
1st equation: 9/2x + 3y = 81
2nd equation: [tex]\frac{12}{5}x - 3y=-12[/tex]
Now we can subtract both of the equations.
12/5x + 9/2x = 69 We need to make the common denominator for x.
24/10x + 45/10x = 69
69/10x=69
x=10
Now we substitute x into the first equation (or the second, doesn't matter).
1/2 * 10 + 1/3y=9
5 + 1/3y = 9
1/3 y = 4
y = 12
Answer:
(10, 12 )
Step-by-step explanation:
let's begin by clearing the fractions from both equations
[tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{3}[/tex] y = 9 ( multiply through by 6 ( the LCM of 2 and 3 to clear ) )
3x + 2y = 54 → (1)
[tex]\frac{3}{5}[/tex] x - [tex]\frac{3}{4}[/tex] y = - 3 ( multiply through by 20 ( the LCM of 5 and 4 to clear ) )
12x - 15y = - 60 → (2)
multiplying (1) by - 4 and adding to (2) will eliminate x )
- 12x - 8y = - 216 → (3)
add (2) and (3) term by term to eliminate x
0 - 23y = - 276
- 23y = - 276 ( divide both sides by - 23 )
y = 12
substitute y - 12 into either of the 2 equations and solve for x
substituting into (1)
3x + 2(12) = 54
3x + 24 = 54 ( subtract 24 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
solution is (10, 12 )
Please solve each of the following by factoring!
Answer:
see explanation
Step-by-step explanation:
(a)
x² - 36 = 0 ← is a difference of squares and factors as
(x - 6)(x + 6) = 0
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 6 = 0 ⇒ x = 6
(b)
x² - 5x + 4 = 0
consider the product of the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
(x - 1)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 4 = 0 ⇒ x = 4
(c)
x² - 2x = 3 ( subtract 3 from both sides )
x² - 2x - 3 = 0 ← in standard form
consider the product of the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)
the factors are + 1 and - 3 , since
1 × - 3 = - 3 and 1 - 3 = - 2 , then
(x + 1)(x - 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
(d)
6x² - 11x - 10 = 0
consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 10 = - 60 and sum = - 11
the factors are + 4 and - 15
use these factors to split the x- term
6x² + 4x - 15x - 10 = 0 ( factor the first/second and third/fourth terms )
2x(3x + 2) - 5(3x + 2) = 0 ← factor out (3x + 2) from each term
(3x + 2)(2x - 5) = 0
equate each factor to zero and solve for x
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex]
1011 base 2 -1001 base 2
Answer:0
Step-by-step explanation:
A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible
There are 1,16,280 different recital programs possible.
Given: A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces and is carefully considering which song to play first, second, etc.
It means the repetition of pieces is not allowed.
When repetition is not allowed, then the number of ways to arrange n things where r things taken together is given by:-
[tex]^{n} P_{r} =\frac{n!}{(n-r)!}[/tex]
Now, the number of different recital programs are:-
[tex]^{20} P_{4} =\frac{20!}{(20-4)!}=\frac{20*19*18*17*16!}{16!}=116280[/tex]
Hence, there are 1,16,280 different recital programs possible.
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an airplane flies in the path shown by the vector line UV on the graph below. what is the magnitude and direction of line UV? (1 unit represents 1 mile)
The magnitude and direction of line UV is 19.7° South of West for 8.1 miles
How to find the magnitude of the vector line UV?The magnitude of the vector line UV is given by the length of the line UV,
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where
(x₁, y₁) = (2, 3) and (x₂, y₂) = (-2, -4)Substituting the values of the variables intot he equation, we have
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(-2 - 2)² + (-4 - 3)²]
d = √[(-4)² + (-7)²]
d = √[4² + 7²]
d = √[16 + 49]
d = √65
d = 8.06 miles
d ≅ 8.1 miles
So, the magnitude of vector line UV is 8.1 miles
How to find the direction of the vector line UV
The direction of the vector line UV is given by Ф = tan⁻¹[(y₂ - y₁)/(x₂ - x₁)] where
(x₁, y₁) = (2, 3) and (x₂, y₂) = (-2, -4)Substituting the values of the variables into the equation, we have
Ф = tan⁻¹[(y₂ - y₁)/(x₂ - x₁)]
Ф = tan⁻¹[(-4 - 3)/(-2 - 2)]
Ф = tan⁻¹[(-7)/(-4)]
Ф = tan⁻¹[7/4]
Ф = tan⁻¹[1.75]
Ф = 60.26°
Ф ≅ 60.3°
Its bearing from the north-south line is α = 90° - Ф
= 90° - 60.3°
= 19.7°
So, its direction is 19.7° South of West
So, the magnitude and direction of line UV is 19.7° South of West for 8.1 miles
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Having some trouble here need some help not really good at this
Answer:
none of these are correct
Step-by-step explanation:
Everyday Math
426. Heating Oil A 275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?
Answer:
261.81818181
Step-by-step explanation:
400÷275=x
x×180
Answer:
If 275 gallon of oil tank costs $400 to fill.
Then 180 gallon of oil tank costs $261.8 to fill.
Step-by-step explanation:
Given that a 275 gallon of oil tank costs $400 to fill.We need to find how much it would cost to fill a 180 gallon oil tank.Use the unitary method to find the answer.Step 1 of 2
If 275 gallon of oil tank costs $400 to fill.
Then the cost to fill 180 gallon of oil tank can be found by forming a proportion.
Let the required cost be x.
[tex]$$\begin{aligned}\frac{\text { cost }}{\text { Gallons of Gas }} &=\frac{\text { cost }}{\text { Gallons of Gas }} \\\frac{\$ 400}{275} &=\frac{x}{180}\end{aligned}[/tex]
Multiplying both sides by 180 we get,
[tex]$$\begin{aligned}\frac{\$ 400}{275} \times 180 &=\frac{x}{180} \times 180 \\x &=\frac{\$ 400}{55} \times 36 \\x &=\$ 261.8\end{aligned}$$[/tex]
Step 2 of 2
To check if the answer is reasonable, we substitute it back in the formed proportion
[tex]$\frac{\$ 400}{275}=\frac{x}{180}$$[/tex]
We found x=$261.8 hence,
[tex]$\frac{\$ 400}{275}=\frac{\$ 261.8}{180}$$$\$ 1.45=\$ 1.45$$Here, $L H S=R H S$[/tex]
Hence, our answer is correct.
what is the difference between 15
Answer:
its an odd number
Step-by-step explanation:
Suppose that shifting into third gear decreased the engine speed (rpm) while increasing the tractor speed (mph). What would be the effect of this change?
a). both area rate and flow rate would increase
b). area rate would increase and flow rate decrease
c). arear rate would decrease and flow rate increase
d). both area rate and flow rate would increase
What would be the effect of this change is: a). both area rate and flow rate would increase.
Shifting of gearAssuming a driver shift into third gear in which there was reduction in the engine speed while on the other hand the tractor speed increase.
The effect of the change will result in the increase in area rate as well as the flow rate.
Therefore the correct option is A.
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Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2
The equation that has an infinite number of solutions is [tex]2x + 3 = \frac{1}{2}(4x + 2) + 2[/tex]
How to determine the equation?An equation that has an infinite number of solutions would be in the form
a = a
This means that both sides of the equation would be the same
Start by simplifying the options
3(x – 1) = x + 2(x + 1) + 1
3x - 3 = x + 3x + 2 + 1
3x - 3 = 4x + 3
Evaluate
x = 6 ----- one solution
x – 4(x + 1) = –3(x + 1) + 1
x - 4x - 4 = -3x - 3 + 1
-3x - 4 = -3x - 2
-4 = -2 ---- no solution
[tex]2x + 3 = \frac{1}{2}(4x + 2) + 2[/tex]
2x + 3 = 2x + 1 + 2
2x + 3 = 2x + 3
Subtract 2x
3 = 3 ---- infinite solution
Hence, the equation that has an infinite number of solutions is [tex]2x + 3 = \frac{1}{2}(4x + 2) + 2[/tex]
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Complete question
Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
[tex]2x + 3 = \frac{1}{2}(4x + 2) + 2[/tex]
[tex]\frac 13(6x - 3) = 3(x + 1) - x - 2[/tex]
Question 4 of 5
Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-4(1 + 3) ≤ -21
Drawing Tools
Select
Point
Open Point
Ray
>
Click on a tool to begin drawing.
A+++
-10
-8
-6
-4
-2
0
Delete
2
4
Undo
6
20.
8
Reset
10
?
os
The solution set of -4(x + 3) ≤ -21 is x ≥ 2.25
How to graph the solution set?The inequality is given as:
-4(x + 3) ≤ -21
Divide both sides by -4
x + 3 ≥ 5.25
Subtract 3 from both sides
x ≥ 2.25
This means that the solution set of -4(x + 3) ≤ -21 is x ≥ 2.25
See attachment for the number line
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Everyday Math
574. The population of the United States on July 4,2010 was almost 310,000,000. Write the number in scientific notation.
Answer:
If the population of the United States on July 4,2010 was almost 310000000 then, the number in scientific notation is [tex]$3.1 \times 10^{8}$[/tex].
Step-by-step explanation:
- Given
Population of the United States on July 4,2010 was almost 310000000 .
- To write the number in scientific notation.
- Firstly, move the decimal point so that the first factor is greater than or equal to 1 but less than 10 .
- Then, count the number of decimal places, n, that the decimal point was moved.
- Then, write the number as a product with a power of 10.
- Finally, check the scientific notation.
Step 1 of 2
Moving the decimal point-
Move the decimal after 3 . so that 3.10000000 is between 1 and 10 .
Now, we know the decimal point was moved 8 places to the left.
Step 2 of 2
Writing the number as a product with a power of 10 -
Since, 310000000 is greater than 1 so the power of 10 will have the exponent 8 .
Therefore, the number becomes-
[tex]$$31000000=3.1 \times 10^{8}$$[/tex]
Now, checking the scientific notation-
[tex]$$\begin{gathered}3.1 \times 10^{8}=3.1 \times 100000000 \\=310000000\end{gathered}$$[/tex]
Consider the equality xy k. Write the following inverse proportion: y is inversely proportional to x. When y = 12, x=5.
Answer:
[tex]y=\dfrac {60} {x}[/tex] or [tex]xy=60[/tex] (depending on your teacher's format preference)
Step-by-step explanation:
Proportionality backgroundProportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")
There are two main types of proportionality/variation:
DirectInverse.Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").
Below are several different examples of both types of proportionality, and how they might be stated in words:
[tex]y=kx[/tex] y is directly proportional to x[tex]y=kx^2[/tex] y is directly proportional to x squared[tex]y=kx^3[/tex] y is directly proportional to x cubed[tex]y=k\sqrt{x}}[/tex] y is directly proportional to the square root of x[tex]y=\dfrac {k} {x}[/tex] y is inversely proportional to x[tex]y=\dfrac {k} {x^2}[/tex] y is inversely proportional to x squaredFrom these examples, we see that two things:
things that are directly proportional -- the thing is multiplied to the constant of proportionality "k"things that are inversely proportional -- the thing is divided from the constant of proportionality "k".Looking at our questionIn our question, y is inversely proportional to x, so the equation we're looking at is the following [tex]y=\dfrac {k} {x}[/tex].
It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."
We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:
Solving for k, and finding the general equationGeneral Inverse variation equation...
[tex]y=\dfrac {k} {x}[/tex]
Substituting known values...
[tex](12)=\dfrac {k} {(5)}[/tex]
Multiplying both sides by 5...
[tex](12)*5= \left ( \dfrac {k} {5} \right ) *5[/tex]
Simplifying/arithmetic...
[tex]60=k[/tex]
So, for our situation, k=60. So the inverse proportionality relationship equation for this situation is [tex]y=\dfrac {60} {x}[/tex].
The way your question is phrased, they may prefer the form: [tex]xy=60[/tex]
Find the value of z.
Answer:
z = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the altitude- on- hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
z² = 8 × (8 + 1) = 8 × 9 = 72 ( take square root of both sides )
z = [tex]\sqrt{72}[/tex] = [tex]\sqrt{36(2)}[/tex] = [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex]
Answer:
[tex]z = 6 \sqrt{2} [/tex]
Step-by-step explanation:
The solution is in the image
HELP ME PLEASEEE 20 POINTSSS!!!!
Fighter pilots the maximum height, h, of a fighter pilot is 77 inches. Write this as an inequality.
h ≤ 70
h ≥ 77
h ≤ 77
h ≥ 70
Answer:
h ≤ 70 I'm pretty sure I could be wrong
The correct inequality for the maximum height, h, of a fighter pilot is h ≤ 77.
Given that the height of the fighter pilot (h) must be less than or equal to 77 inches.
The symbol "≤" represents "less than or equal to," and 77 inches is the maximum allowable height for a fighter pilot.
The inequality h ≥ 77 would be incorrect since it states that the height of the fighter pilot should be greater than or equal to 77 inches, which would not be a maximum height requirement.
Similarly, the inequality h ≤ 70 would also be incorrect as it would imply a height limit of 70 inches, which is lower than the actual maximum height allowed.
Lastly, h ≥ 70 would not be suitable as it would permit heights greater than or equal to 70 inches, potentially exceeding the specified maximum height of 77 inches.
In conclusion, the correct inequality to represent the maximum height of a fighter pilot is h ≤ 77, ensuring that their height does not exceed 77 inches.
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Identifying Transformations On a coordinate plane, triangle A has points (3, 3), (6, 3), (6, 9). Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2). Determine all the transformations needed to transform the pre-image, A, to the image, A'. Select all that apply. dilation by a scale factor of 1/2 dilation by a scale factor of 1/3 reflection over the x-axis translation to the left 4 units translation down 3 units
Triangle A was dilated by a scale factor of 1/3 and reflected over the x axis to form triangle A'
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
Triangle A was dilated by a scale factor of 1/3 and reflected over the x axis to form triangle A'
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Answer:
b d e
Step-by-step explanation:
5 Quick algebra 1 questions for 50 points!
Only answer if you know all 5, Tysm! :)
answers
6. y = -1/2x + 8
7. y = 15
8. y = -3/4x + 1
9. y = 6x + 3
10. y = 1/3x - 4
steps
equation of the line that is perpendicular means the number next to the x should be a negative reciprocal
number next to the x is the slope
6. y=2x+5
y = mx + b
m = 2
b = -5
negative reciprocal would be
-1/2x
m = -1/2
(2, 7) means x = 2 y = 7
substitute
7 = -1/2(2) + b
7 = -1 + b
b = 8
answer is y = -1/2x + 8
7.
y = 5; (11, 15)
b = 5
m would be 0 because there is no slope
15 = 0*11 + b
b = 15
y = 15
8.
line goes through
(0,-2) and (3,2)
get slope
y2-y1/x2-x1
2-(-2) / 3 - 0
4/3
y = 4/3x
point slope form
y - y1 = m (x-x1)
y - -2 = 4/3 (x - 0)
y+2 = 4/3x
y = 4/3x - 2
negative reciprocal slope would be for perpendicular
-3/4x
(12, 10)
y = mx + b
10 = 3/4(12) + b
10 = 9 + b
1 = b
b = 1
y = -3/4x + 1
9.
y = -1/6x + 1; (− 2, — 9)
negative reciprocal slope would be for perpendicular
+6x
(− 2, — 9)
y = mx + b
get b
-9 = 6(-2) + b
-9 = -12 + b
b = 3
y = 6x + 3
10.
6x+2y=14; (12, 0)
2y= -6x+14
y= -3x+7
negative reciprocal slope would be for perpendicular
1/3x
y = mx + b
get b
0 = 1/3(12) + b
0 = 4 + b
b = -4
y = 1/3x - 4
In theparallelogram, the value of x is ？
Answer:
x = 6 cm
Step-by-step explanation:
• in the parallelogram, if we consider the side of length 12
as the base then the corresponding height is 5.
In this case the area of our parallelogram = 5 × 12 = 60 cm²
………………………………………………
• in the parallelogram, if we consider the side of length 10
as the base then the corresponding height is x.
In this case the area of our parallelogram = 10 × x = 10x cm²
………………………………………………
In order to determine x ,we equate the two different results
that we got for the same area .
In other words ,we have to solve the equation 10x = 60.
10x = 60
⇔ x = 60/10 = 6
Answer:
6 cmStep-by-step explanation:
the 2 triangles are similar, we can solve with an equation
12 : 10 = x : 5
x = 12 * 5 : 10
x = 60 : 10
x = 6 cm
d
an and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the times Dan and David take as a ratio.
Give your answer in its simplest form.
Answer:5
Step-by-step explanation: