Answer:
A and C
Step-by-step explanation:
It can not be D, since that will mean that <em>the line is perfectly horizontal</em>, with 0 as its slope.
It can be C, since the <em>equation's slope is positive and has a negative y-intercept</em>, like the graph.
Changing around A gives us y = 2x - 3. That has a <em>positive slope and a negative y-intercept</em>, like the graph. So, A is a possibility.
Changing around B gives us y = ²/₃x + 3. This has a positive slope, <em>but also a positive y-intercept</em>, so B can not be the answer.
Answer:
162
Step-by-step explanation:
260/2=130
130+32=162
Answer:
x = -5
Step-by-step explanation:
to evaluate for x in this this question -5x-(8-x)=12
the firsst step, you would open the bracket with - then evaluate for the value of x
solution
-5x-(8-x)=12
-5x -8 + x = 12
combine the like terms
-5x + x = 12 + 8
-4x = 20
divide both sides by the coefficient of x
-4x/-4 = 20/-4
x = -5
The values of a and b are 1/4 and 1/5 respectively
<h3>How to determine the true statement?</h3>
The function is given as:
16x^2 - 25y^2 = 1
The above function is a horizontal hyperbola.
A horizontal hyperbola that passes through the origin is represented as:
![\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%20-%20%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D%201)
Rewrite 16x^2 - 25y^2 = 1 as
![\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B1%2F16%7D%20-%20%5Cfrac%7By%5E2%7D%7B1%2F25%7D%20%3D%201)
By comparison, we have:
![a^2 = \frac{1}{16}](https://tex.z-dn.net/?f=a%5E2%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
![b^2 = \frac{1}{25}](https://tex.z-dn.net/?f=b%5E2%20%3D%20%5Cfrac%7B1%7D%7B25%7D)
Solve for a and b
![a = \frac{1}{4}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
![b = \frac{1}{5}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
Hence, the values of a and b are 1/4 and 1/5 respectively
Read more about hyperbola at:
brainly.com/question/27799190
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