STANDARD FORM:
- <u>Slope-intercept form</u>:— y = mx + b, where m is slope & b is y-intercept.
ANSWER:
- <u>Given points</u>:— E(-2,2) & F(5,1)
First we will find slope of points,
slope(m) = y2 – y1/x2 – x1
Now, plug the value and compute b(y-intercept)
⇒y = –1/7x + b
⇒2 = –1/7 × –2 + b
⇒b = 2 - 2/7 = 14 – 2/7
⇒b = 12/7
Now, Equation:
NOTE: See picture attached.
Answer:
20
Step-by-step explanation:
The Pythagorean Theorem says if you have a right triangle with legs 
then:
.
You are given leg measurements 12 and 16.
You are given the hypotenuse measurement but are asked to find it.
Take square root of both sides:
Answer:
the volume is 1176 cm^3
Step-by-step explanation:
you can divide the bricks into two shapes, find their volumes and add them back together:
1st brick shape: 21 * 6 * 6 = 756 cm^3
2nd brick shape: 10 * 7 * 6 = 420 cm^3
now add them and you get 1176 cm^3 per identical brick as their volume, you just have to multiply the height, length and width that you know makes up a simpler shape
<em>pls brainliest if you found it useful</em>
Answer:
Step-by-step explanation:
<h3><u>Given functions:</u></h3>
- f(x) = 4x² - 6
- g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>
Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
