Answers
Answer:
[tex]y=-\frac{1}{2}x+2[/tex]
Step-by-step explanation:
The equation for slope-intercept form is [tex]y=mx+b[/tex].
First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].
Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].
By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].
Related Questions
Find the volume of the pyramid
Answers
Step-by-step Explanation:
the volume of a pyramid is:
volume = (1/3) • base_area • height
(area = length • width)
(area) • (height) = (volume)³
Example:
area = 12cm² (12 cm squared)
height = 4cm
12 • 4 = 48cm³ (48 cm cubed)
Answer:
area: 6 • 8 = 48(1/2) = 24cm²
height: 12
volume: 24 • 12 = 288cm³(1/3) = 96cm³
Please help, its urgent. (Question Below)
Answers
The highest common factor of the numbers 210 and 308 is 4.
What is the highest common factor?The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.
The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-
308 = 2 x 2 x 7 x 11
210 = 2 x 2 x 3 x 17
We can see that the 2 x 2 = 4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.
Therefore the highest common factor of the numbers 210 and 308 is 4.
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If 6:2=8:x, then
a. 6x = 16
b. 6x = 10
c. 2x = 48
d. 2x = 14
Answers
Answer:
6x = 16
Step-by-step explanation:
Given:
[tex]\displaystyle \large{6:2 = 8:x}[/tex]
The equation can be rewritten as:
[tex]\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}[/tex]
Multiply both sides by 2x.
[tex]\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}[/tex]
Simplify the equation in simplest form.
[tex]\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}[/tex]
Therefore, the answer to this question is 6x = 16.
Please let me know if you have any questions regarding my answer or explanation!
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
Answers
Answer:
it’s b
Step-by-step explanation:
the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.
Hope it helps
Sry if I’m wrong
If 7 is added to the product of 7 and 3 what is the answer
Answers
Answer:
28
Step-by-step explanation:
[tex]7+7\times 3 = 7(1+3)= 7 \times 4 = 28[/tex]
Answer:
28
Step-by-step explanation:
When we find the product of 2 or more numbers, we multiply them.
so
product of 7 and 3 = 7 x 3 = 21
7 + 21 = 28
Hope this helps. I attempted to make it as simple as possible.
- profparis
Which equation represents a line that passes through (5’1) and has a slope of 1/2?
Answers
Answer:
third one passes through the slope .
Answer:
Step-by-step explanation:
y - 1 = 1/2(x - 5)
y - 1 = 1/2x - 5/2
y - 2/2 = 1/2x - 5/2
y = 1/2x - 3/2
Option 3
3 substracted from 9 times 2 and 5 is added
Answers
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
please mark brainliest
You have a list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f). you need to use these letters to form four-letter words in such a manner that they should contain exactly 2 vowels from the given 3 and exactly 2 consonants from the given 4. how many such four-letter words can you form using the seven given letters?
Answers
There are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
A list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f).
a, i, e - 2 vowels can be selected in 3C2 ways.
b, c, d, f - 2 consonants can be selected 4C2 ways.
We can arrange 4 alphabets in 4! ways.
Total ways = C(3, 2)×C(4, 2)×4!
= 3×6×24
= 432
Thus, there are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.
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Which statement about ABCD isn’t true
Answers
Answer:
The answer is B. AC = BD.
Step-by-step explanation:
ABCD is given as a parallelogram. Most of the line is given to be parallel.
AB = CD and BC = AD are told that they are in a parallel line to each other.
The line inside the parallelogram is yet to be said if they equal each other, thus, statement B. AC = BD must be false.
Which statement below best describes whether or not the triangles are similar and
why?
A. ∆XXXXXX ~ ∆TTTTTT by AA similarity.
B. ∆XXXXXX ~ ∆TTTTTT by ASA similarity.
C. ∆XXXXXX ~ ∆TTTTTT by SSS similarity.
D. There is not enough information to determine similarity.
Answers
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B
rents for $150 and $50 an hour. Let t= the number of hours and c = cost.
Part A
Write a system of equations to represent the cost at each studio.
Part B
Solve the system of equations from Part A. Explain your method.
Part C
Explain what the solution to the system means in terms of where your band will rent a studio.
Answers
Answer:
Step-by-step explanation:
Studio A rents for $75 plus $75 an hour .
Studio B rents for $150 and $50 an hour.
Let t = the number of hours and c = cost.
Part A
Write a system of equations to represent the cost at each studio.
Studio A: c = 75 +75·t
Studio B: c = 150 +50·t
Part B
Solve the system of equations from Part A. Explain your method.
We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.
150 +50·t = 75 +75·t, subtract 75 and 50t from both sides
150 -75 = 75t -50t, combine likes terms
75 = 25t, divide both sides by 25
3 = t
Now we know that t = 3 so we find c by substituting t with 3 in the second equation.
c = 150 +50·t
c = 150 +50·3
c = 300
The solution of the system of equations is c = 300 and t = 3
Part C
Explain what the solution to the system means in terms of where your band will rent a studio.
The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.
The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.
solve pls brainliest
Answers
36/80 multiple both nominator and denominator by 100/100.
If using a calculator simply 36 divided by 80 and multiply by 100 giving you 45%
Using a straightedge and compass the ancient Greeks were able to construct many geometric objects
Answers
Step-by-step explanation:
A department has five employees with five jobs to be performed. the time in hours each man will take to perform each jobs is given in the effectiveness matrix .
Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3
Answers
Answer:
Given system of equations:
[tex]\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}[/tex]
To solve by substitution, equate the equations and solve for x:
[tex]\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}[/tex]
Therefore, the x-values of the solution are [tex]x = 0[/tex] and [tex]x = 4[/tex].
To find the y-values of the solution, substitute the found values of x into the functions:
[tex]f(0)=-(0)^2+2(0)+3=3[/tex]
[tex]g(0)=-2(0)+3=3[/tex]
[tex]f(4)=-(4)^2+2(4)+3=-5[/tex]
[tex]g(4)=-2(4)+3=-5[/tex]
Therefore, the solutions to the given system of equations are:
[tex](0, 3)[/tex] and [tex](4, -5)[/tex]
Ax -c=bx+d solve for x
Answers
Answer:
[tex] x = \dfrac{c + d}{a - b} [/tex]
Step-by-step explanation:
ax - c = bx + d
ax - bx = c + d
x(a - b) = c + d
[tex] x = \dfrac{c + d}{a - b} [/tex]
Given the right triangle, evaluate: sin 0.
Answers
Answer: B. 5/13
This is the same as writing [tex]\frac{5}{13}[/tex]
==========================================================
Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]
This points us to choice B as the final answer.
----------------
Extra Info (optional)
5/12 is the value of tan(theta) since it's opposite/adjacent12/5 is the value of cot(theta), the reciprocal of tangent12/13 is the value of cos(theta), because cos = adjacent/hypotenuseThe tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.
Answers
The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
What is a linear function?It should be noted that a linear function simply means a function whose graph is a straight line.
From the information given, the slope will be:
= (y2 - y1(/(x2 - x1)
= (3.6 - 3)/(3 - 2.5)
= 1.2
The slope for broccoli is 1.2
The slope of the cauli flower will be:
= (3.20 - 2.75)/(3.20 - 2.75)
= 1
Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
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Answer:
B
Step-by-step explanation:
right on 2022 edg
Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
A table listing the first few steps in deriving the quadratic formula
In which step did Tran first make an error?
Answers
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
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Answer: Step 3
Step-by-step explanation: this is the right answer on the edge, hope this helps!
Please help :)))))))))))))
Answers
Answer:
\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)
Step-by-step explanation:
Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).
Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.
If that doesn't work, I might be interpreting this incorrectly.
Here.
Answer:
0.05, or 1/20
Step-by-step explanation:
So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05
Let me know which one works!
Warmest regards,
Sanjana
Professional 6th grader and quantum physics lover
The equation of a circle is given below:
x squared minus 4 x plus y squared minus 6 y minus 7 equals 0
Identify the center and radius of the circle.
Group of answer choices
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20
Center: left parenthesis 4 comma minus 6 right parenthesis
Radius: 2 square root of 5
Center: left parenthesis negative 4 comma 6 right parenthesis
Radius: 20
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 2 square root of 5
Answers
Given:
The equation of the circle is
We need to determine the center and radius of the circle.
Center:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
Radius:
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
In the given figure if AOB = 132°, COD = 141°, if measure of BOD equals x°, then x is
Answers
Answer:
BOD = 189 °
Step-by-step explanation:
that is the answer above
Expand.
Your answer should be a polynomial in standard form. WILL GIVE BRAINLIEST AND BIG POINTS
Answers
Answer:
-q^2-q+72
Step-by-step explanation:
We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:
-q^2-9q+8q+72
Finally, combine like terms:
-q^2-q+72
Hope this helps!
Determine the value of X
AB is the mid segment of triangle LMN. Determine the value of X
Answers
Answer:
B. 4Step-by-step explanation:
Since ,AB is the mid segment of triangle LMN
Then
[tex]\Longleftrightarrow AB=\frac{MN}{2}[/tex]
[tex]\Longleftrightarrow x+8=\frac{5x+4}{2}[/tex]
[tex]\Longleftrightarrow 2\times(x+8)=5x+4[/tex]
[tex]\Longleftrightarrow 2x+16=5x+4[/tex]
[tex]\Longleftrightarrow 16-4=5x-2x[/tex]
[tex]\Longleftrightarrow 3x=12[/tex]
[tex]\Longleftrightarrow x=\frac{12}{3}=4[/tex]
Find the value of (8 × 10³)²
Answers
Answer:
64 × [tex]10^{6}[/tex]
Step-by-step explanation:
(8 × 10³)² = (8 × 10³)(8 × 10³)
= 8 × 10³ × 8 × 10³
= 64 × [tex]10^{6}[/tex]
Answer:
64000000Step-by-step explanation:
Find the value of (8 × 10³)²
(8 × 10³)² =
(8 × 1000)² =
8000² =
64000000
Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5
Answers
Answer:
f(x) = (x + 3)² - 14
Step-by-step explanation:
f(x) = x² + 6x - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
f(x) = x² + 2(3)x + 9 - 9 - 5
= (x + 3)² - 14 ← in vertex form
The function in vertex form is f : x → (x + 3)² - 14.
To convert the equation.
f : x → x² + 6x - 5 into the vertex form, you will need to complete the square.
First, you will need to add and subtract the square of half of the coefficient of the x term, which is (6/2)² = 9.
This will give you the equation.
f : x → x² + 6x - 5 + 9- 9
Next, you will need to factor the left side of the equation,
f : x → (x² + 6x + 9) - 5 - 9
Now, you can see that the left side of the equation is the square of
(x + 3)² so you can rewrite it as:
f : x → -(x + 3 )² - 5 - 9
Finally, you can simplify the right side of the equation to get:
f : x → (x + 3)² - (5 + 9)
f : x → (x + 3)² - 14.
Therefore, the vertex form is f : x → (x + 3)² - 14.
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part 3 to the please help question sorry im asking so many questions
Answers
Answer:
the answer would be 6,600ft
Step-by-step explanation:
I hope this helps!!
Part E
Use the table showing Manuel's and Gretchen's data to determine the mean, median, standard deviation, and
interquartile range for each data set. Use this information to complete the second table. Use the graphing tool to
determine the value of standard deviation.
Answers
The mean, median, standard deviation, and interquartile range for each data set is given below.
What is the definition of Interquartile Range (IQR)?When arranged from lowest to highest, the IQR represents the central 50% of values.
Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).
These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.
What are the measures of central tendency for Manuels Data?Using the statistical tool, the following were arrived at:
Standard Deviation = 3.13961Mean = 8Median = 8IQR = Q3-Q1 = 10 - 6 = 4What are the measures of central tendency for Grethcen's Data?Using the statistical tool, the following were arrived at:
Standard Deviation = 4.68737.Mean = 9.6Median = 9IQR = IQR = Q3-Q1 = 12 - 7 = 5.See the respective Histograms attached.
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Which of the following is most likely the next step in the series?
Answers
Answer:
A
Step-by-step explanation:
has more arrows coming out
the reason it's not D is because it is going in a red-blue pattern not red-red
hope that helps :)
Answer:
A
Step-by-step explanation:
red blue red ??? and 1 arrow, 3 arrows, 5 arrows so next is blue 7 arrows
3. Eden has completed 7⅝ laps of a 10 lap race How many more laps does she still need to run?
Answers
eden must run 2 3/8 laps to complete the race.
How to calculate the laps that Eden is missing?To calculate the laps that Eden is missing, we must perform the following operation:
We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.
On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.
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9.) List three things vertical and horizontal lines have in common.
Answers
Answer:
Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.
Step-by-step explanation:
Use this:
What is a Horizontal Line?A Horizontal Line is a line that goes straight from left to right (or right to left) parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.
What is a Vertical Line?A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.
Commonality:Any vertical line is defined as perpendicular to any horizontal line.