Answer:
y- intercept = - 2.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m = 
= 
= - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5
Answer:
x = 26.5
Step-by-step explanation:
Step 1: Write equation
(t + 10.5) + 2t + 90 = 180
Step 2: Solve for <em>t</em>
<u>Combine like terms:</u> 3t + 100.5 = 180
<u>Subtract 100.5 on both sides:</u> 3t = 79.5
<u>Divide both sides by 3:</u> t = 26.5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
<u>Substitute:</u> (26.5 + 10.5) + 2(26.5) + 90 = 180
<u>Parenthesis:</u> 37 + 56 + 90 = 180
<u>Add:</u> 180 = 180
∴ x = 26.5
It is a vertical stretch.
<h3>What is functions?</h3>
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
To solve this problem you must apply the procedure shown below:
1. You have the following parent function given in the problem above:
f(x) = √x
2. And you have the function g(x) = √3x
3. By definition, if you have the function y = ax and |a| > 1 it is a vertical stretch.
4. Therefore, you have that:
|a| = √3
√3 > 1
Therefore the answer is: It is a vertical stretch.
to learn more about functions refer to:
brainly.com/question/11624077
#SPJ9
Answer:
1. C-surface area
2. The formula V = B x h is not suitable, because the surface area of wrapping paper needed to be calculated, not the volume.
V = Ph + 2B = 15x(5+6+9) + 2x 9x3/2 = 327
3. B: Base area
H: Height of solid
4. She said V =220, while V_real = 7x6x4 =168
=> She is wrong
5. Check the Pythagorean theorem 3^2+4^2 =9+16 =25 =5^2
=> Right triangle.
=> Area = 3x4/2 =6
let the number of sides be n.
Thus,
(n-2)x180=330
n-2=1.83
n=3.83
Rounding off we have, n=4.
Thus the total number of side is 4.
