Answer:
y = - x + 1
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (4, - 3)
m =
=
= -1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = 1 + c ⇒ c = 2 - 1 = 1
y = - x + 1 ← equation in slope- intercept form
Answer:
The height and width are both 12 inches.
Step-by-step explanation:
2304/16=144
√144=12
We begin with the <span> Turner Middle School:
Ratio of students to teachers: </span>
![\frac{620}{31}](https://tex.z-dn.net/?f=%20%5Cfrac%7B620%7D%7B31%7D%20)
Green Middle School:
Ratio of students to teachers:
![\frac{950}{38}](https://tex.z-dn.net/?f=%20%5Cfrac%7B950%7D%7B38%7D%20)
Let check that we cannot form a proportion:
![\frac{620}{31}=20\text{ and } \frac{950}{38}=25](https://tex.z-dn.net/?f=%20%5Cfrac%7B620%7D%7B31%7D%3D20%5Ctext%7B%20and%20%7D%20%5Cfrac%7B950%7D%7B38%7D%3D25)
The two ratios are not equals so we cannot form a proportion.
Let x be the number of <span>teachers that Green have to hire in order to make the two ratios equal. We get the equation:
</span>
![\frac{950}{38+x}=\frac{620}{31}\text{ and we solve the equation like this:}\\38+x=\frac{950\times31}{620}=47.5 \text{ and then:}\\x=47.5-38=9.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B950%7D%7B38%2Bx%7D%3D%5Cfrac%7B620%7D%7B31%7D%5Ctext%7B%20and%20we%20solve%20the%20equation%20like%20this%3A%7D%5C%5C38%2Bx%3D%5Cfrac%7B950%5Ctimes31%7D%7B620%7D%3D47.5%20%5Ctext%7B%20and%20then%3A%7D%5C%5Cx%3D47.5-38%3D9.5%20)
<span>
The Green school need to hire 9 teachers.
Part-to-whole ratio:
</span>Turner Middle School:
![\frac{620}{31+620}](https://tex.z-dn.net/?f=%20%5Cfrac%7B620%7D%7B31%2B620%7D%20)
Green Middle School:
Sorry if it's low quality and blurry.
Answer:
1. 81
2. 108 1/2
3. 189 1/2
Step-by-step explanation: