Answer:
Step-by-step explanation:
A). Yes. If we rotate shape I by 90° clockwise about the origin shape I will overlap shape II.
Coordinates of one point of figure I are A(-1, 3).
After rotation 90° clockwise,
(x, y) → (y, -x)
Following this rule,
A(-1, 3) → A'(3, 1)
It clearly states that figure I will overlap figure II.
B). No. because length of the quadrilateral I is different from the length of the quadrilateral given in figure III while width are same.
Both are different quadrilaterals.
C). Yes. If the figure I is reflected over x-axis, we get figure III.
D). Yes. By the translation of figure I by 3 units right and 4 units down we get image figure V.
Rule followed for the translation,
(x, y) → (x+3, y-4)
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Answer:
3.99 10-6
Step-by-step explanation:
This is simply the answer because if you multiply them all out this equation is the smallest number
Answer:
3.99*10^-6
Step-by-step explanation:
Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.
A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.
Answer: 40
Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.
Perimeter of a square garden is 40.
Here,
A square garden has an area of 100 square feet.
We have to find the perimeter of the square garden.
What is Perimeter of square?
Sum of all four sides of a square is known as Perimeter of a square.
Now,
Let side of a square garden is a.
Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]
[tex]a^{2} = 100[/tex]
[tex]a = 10[/tex]
Hence, Perimeter of a square garden = 10 + 10 + 10 + 10
= 40
So, Perimeter of a square garden is 40.
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-4 + 5x − 7 = 10 + 3x − 2x what eqauls x
Answer:
X=21/4, or in simplest form 5.25
Step-by-step explanation:
Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)
Answer:
Option C. (2x + 1)(x - 6)
Step-by-step explanation:
To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:
2x² - 11x - 6
Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:
2x² × - 6 = - 12x²
Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.
The factors are x and - 12x
Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:
2x² - 11x - 6
2x² + x - 12x - 6
Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:
2x² + x - 12x - 6
x(2x + 1) - 6(2x + 1)
(2x + 1)(x - 6)
Thus,
2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)
Please answer the question in the photo.
The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.
====================================================
Explanation:
When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes
[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]
while the right hand side turns into
[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]
This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.
----------------------
The equation is only sometimes true for the x values 0, 1 and -1
Let's try x = 0
[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]
we get a true statement confirming x = 0 as a solution
Trying x = 1 leads to
[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]
also true. A similar situation happens with x = -1 as well, just that we have negatives this time.
What would the answer be to the expression 22 + (30 - 4) ÷2
Answer:
24
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
22 +(30 - 4) :2
22 +26 :2
22 +13
35
In ΔABC, Cos A = 4/5, cosB = 3/5then a:b:c is
The ratio is 3:4:5.
Cosine by definition, is adjacent divided by hypotenuse, meaning that the value of the hypotenuse is 5. Then, we are given two other sides that are adjacent to angles A and B, which are 4 and 3 respectively.
This means that there are side lengths 3, 4, and 5, meaning that the ratio of the sides are 3:4:5.
Hope this helps.
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0.1.13
Your vacation hotel is only 1068 feet from the historic Colonial Courthouse, but it is mile to the Fine Arts Gallery. Find the difference in the distance between the
Courthouse and your hotel and the Fine Arts Gallery and your hotel in feet. (Note that the units are different.)
The difference in distance is feet.
Answer:
[tex]Distance = 1572\ feet[/tex]
Step-by-step explanation:
Given
Courthouse = 1068 feet
Gallery = 0.5 mile ----- Missing Part of Question
What the question implies is to
determine the distance between these two locations
This is done as follows:
[tex]Distance = |Courthouse - Gallery|[/tex]
Substitute values for Courthouse and Gallery
[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]
Convert 0.5 mile to feet (1 mile = 5280 feet)
[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]
[tex]Distance = |1068\ feet - 2640\ feet|[/tex]
[tex]Distance = |-1572\ feet|[/tex]
[tex]Distance = 1572\ feet[/tex]
Hence, the required distance is 1572 feet
CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!
Answer:
z = 80°
Step-by-step explanation:
The sum of the interior angles would equal to 360°
100° + 60° + 120° = 280°
360° - 280° = 80°
Answer:
z = 80
Step-by-step explanation:
A quadrilateral has angles that sum to 360°
E + C + G + F = 360
100 + 60 + 120 + F = 360
Combine like terms
280 + F = 360
F = 360 - 280
F = 80
We know that ABCD is similar to FECG
This means that the measure of A = measure of F
z = 80
A runner can run 2 miles in 10 minutes. At this rate how many miles can he run in 40 minutes
Answer:
8 miles
Step-by-step explanation:
At a rate of 2 miles in 10 minutes, in 40 minutes he can run 8 miles.
2 / 10 == x / 40
x == (40 * 2) / 10
x == 8
Cheers.
Answer:
Step-by-step explanation:
8
Show the steps for the merge sort to sort the following values: {199,16,186,115,158,135,186,14,10}
Answer:
Step-by-step explanation:
STEP 1: Show the array of values.
The array is {199, 16, 186, 115, 158, 135, 186, 14, 10}
STEP 2: Determine the number of elements/values.
Here, it is 9
STEP 3: Starting from zero, assign number tags to each value.
Since the values are 9 in number, the numerical tags will be 0, 1, 2, ..., 8
mv
STEP 3: Check if the sub-array is a base case.
This sub-array has at least 2 figures or values, hence is not a base case.
STEP 4:
un angulo θ mide 750° y es coterminal con
Answer:
El ángulo de 750º es coterminal con los ángulos de 29.88º y 389.88º.
Step-by-step explanation:
Antes de comenzar este enunciado, cabe recordar que dos ángulos en posición estándar son coterminales cuando tiene un lado terminal común, además que el sistema sexagesimal tiene un período de 360º, entonces todo ángulo satisface la siguiente condición:
[tex]\theta = 360\cdot x[/tex], [tex]\forall \,x \in \mathbb{R}[/tex].
Si sabemos que [tex]\theta = 750^{\circ}[/tex], el múltiplo [tex]x[/tex], que indica el número de revoluciones dadas es:
[tex]x =\frac{\theta}{360}[/tex]
[tex]x = \frac{750^{\circ}}{360^{\circ}}[/tex]
[tex]x = 2.083[/tex]
El número de ángulos coterminales equivale al número entero de revoluciones. Y la posición coterminal más pequeña queda determinada por el residuo, que es igual a la diferencia entre el total de revoluciones (2.083) y el número de revoluciones enteras. (2) En este caso, existen dos angulos coterminales cuyas magnitudes determinamos a continuación:
[tex]\theta_{1} = (0 + 0.083)\cdot (360^{\circ})[/tex]
[tex]\theta_{1} = 29.88^{\circ}[/tex]
[tex]\theta_{2} = (1 + 0.083)\cdot (360^{\circ})[/tex]
[tex]\theta_{2} = 389.88^{\circ}[/tex]
El ángulo de 750º es coterminal con los ángulos de 29.88º y 389.88º.
i put a picture and please solve
Answer: 12.25 or Approximately 12.3
Step-by-step explanation:
To solve this problem, we first need to solve for x. We are given with 2ˣ=7.
To get x alone, we want to use natural log, or ln.
[tex]xln(2)=ln(7)[/tex] [once you find ln of both sides, you bring the x to the front]
[tex]x=\frac{ln(7)}{ln(2)}[/tex] [divide both sides by ln(2)]
[tex]x=2.81[/tex]
We now know that x is approximately 2.81. We can plug that in to find 4ˣ⁻¹.
[tex]4^(^x^-^1^)[/tex] [plug in x]
[tex]4^(^2^.^8^1^-^1^)[/tex] [parenthesis]
[tex]4^{1.81}[/tex] [exponent]
[tex]12.3[/tex]
The answer is approximately 12.3. To get a more exact answer, you would plug in [tex]\frac{ln(7)}{ln(2)}[/tex] into x.
[tex]4^{\frac{ln(7)}{ln(2)}-1 }[/tex]
[tex]12.25[/tex]
The exact answer would be 12.25. This is close to 12.3 since it is rounded up to one decimal place.
43% of 300 is what number
A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?
a. .0056
b. .0161
c. .0112
d. .00012
Answer:
d. .00012 or 0.00012
Step-by-step explanation:
The variance of the population proportion formula is given as:
p(1 - p)/n
Where n = sample size
p = population proportion or p(hat)
n = 2000 people
p = 0.52
Variance of the population proportion = 0.52(1 - 0.52)/ 2000
= 0.52 × 0.48 /2000
= 0.2496 /2000
= 0.0001248
Therefore the Variance of the population proportion is approximately = 0.00012
2x – 4y = 24
x + 3y = 7
Solve by elimination
I will give the brainiest
Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the
equation true.
2
6
3
-25
Answer:
a=3
Step-by-step explanation:
opening the bracket, we have
4x-2x-2a=8
2x-2a=8
x=7
2(7)-2a=8
14-2a=8
collect like terms
-2a=8-14
-2a=-6
divide both sides by -2
a=3
d is the same as 359 more than the product of 344 and d
write the sentence as an equation
Answer:
d = 359 + 344d
Step-by-step explanation:
d = 359 + 344d
5
Your mom is making soup. As you walk through the kitchen, you decide to taste it. You take a spoon out
of th drawer and use it to taste the soup. It is so good that you want another bite. Should you use that
same spoon? Why or why not?
Enter your answer(s) here
Answer:
no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.
Answer: It all depends on your preference
Step-by-step explanation:
Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.
What is the ordered pair of X' after point X (3, 4) is rotated 180°?
Answer:
Step-by-step explanation:
the ordered of X' after point X(3,4) rotation 180 degrees is X'(-3,-4)
Answer:
(-3, -4)
Step-by-step explanation:
Describe how you would graph a figure that is translated by (x - 4, y + 2).
Answer:
see explanation
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 2 )
This means subtract 4 from the original x- coordinate and add 2 to the original y- coordinate, that is
a point (4 , - 4 ) → (4 - 4, - 4 + 2 ) → (0, - 2 )
The resulting graph would result in moving input x by --4 horizontally and Output y by +2 vertically.
What is a translation of a point?Translations are defined by saying how much a point is moved to the left/right and up/down. Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.
Given the point (x - 4, y + 2), we can clearly observe that the graph would move vertically by +2 units while the input will be in the -ve x-axis direction from right to left and thus will move negatively by -4.
Hence, The resulting graph would result in moving input x by --4 horizontally and Output y by +2 vertically.
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Which expression shows 7 more than the product of 8 times 9?
Answer:
Step-by-step explanation:
7 more than the product of 8 times 9
product of 8 times 9 = 8 × 9 = 72
7 more than the product of 8 times 9 = 72 + 7 = 79
Hope this helps
plz mark as brainliest!!!!!!!!!!
If PQ=11 and QR=12, what is PR
Answer:
PR = 23
Step-by-step explanation:
Step 1:
PQ + QR = PR
Step 2:
11 + 12 = 23
Answer:
PR = 23
Hope This Helps :)
Distribute the negative sign: -(x - 6y)
Answer:
-x + 6y.
Step-by-step explanation:
-(x - 6y)
= -1*x -1*-6y
= -x + 6y
Which number is less than 2.16? 2.3, 2.09, 2.93, or 2.9
Answer:
2.09
Step-by-step explanation:
Because:
2.3=2.30
2.9=2.90
and 2.93 is just bigger
therefore your answer is 2.09
Answer:
2.09
Step-by-step explanation:
2.93 > 2.9 > 2.3 > 2.16 > 2.09
2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.
Find the midpoint between A and C.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]
Step-by-step explanation:
Given,
A ( -2 , 4 )⇒ ( x₁ , y₁ )
C ( 3 , - 3 )⇒ ( x₂ , y₂ )
Finding the midpoint between A and C
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]
[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]
Hope I helped!
Best regards! :D
On a vacation trip, the smith family traveled 2,648 miles by car to a lake resort on the return trip they took a shorter route and drove 2,023 miles at the end of the trip the car’s odometer read 46,238 miles what did the odometer read at the beginning of the trip
Answer: 41,567
Step-by-step explanation:
1st: Add 2,648 + 2,023 and get = 4,671
2nd: Subtract 46,238 - 4,671 = 41,567
1/10 is what of 1/100
Answer:
1/10 = 0.1, 1/100 = 0.01
Step-by-step explanation:
1/10 is 10/100
Answer:One tenth of one hundred is 10 1/10 of 100 = (100 * 1) / 10 = 100 / 10 = 10
Step-by-step explanation:
HELLLLLPPPPPPP PLZZZZZZ HELP A$AP PLZZZZZZZZZ I WILL MARK BRAINLEST
Answer:
what do you need help with i dont see the question
Step-by-step explanation:
Which property is illustrated by the following statement? 6 + (x + 8) = ( 6 + x) + 8 Commutative Property of Addition Associative Property of Addition Commutative Property of Multiplication Inverse Property of Addition
Answer:
Commutative Property of Multiplication, I believe. Hope this helps!
Step-by-step explanation:
Answer:
Associative Property of Addition