Response:

Step-by-step explanation:
1. The line includes the points (34,12) and (32,48). Then, apply the slope formula, which is:

2. By substituting values into the formula, you will get:


We are given the points
<span>E (0, 27)
</span><span>F (5,−8)
and we need to calculate the rate of change and the initial value:
To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7
The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>
Answer:
y = x - 3
Step-by-step explanation:
4x - 5 = 7 + 4y subtracting 7 from each side
4x - 12 = 4y
then dividing every term by 4
x - 3 = y
Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
By extracting the square root on both sides

x=±4
2. t^2=81
Again, take the square root of each side

t=±9
3. r^2-100=0

r=±10
4. x²-144=0
We rewrite as x²=144
Applying square roots

x=±12
5. 2s²=50

s=±5 ..
The dimensions of the book cover are 28.3 centimeters in length and 21 centimeters in width. Calculate the range of values for both the actual length and width of the book cover. Minimum length = (28.3 - 0.05) cm and maximum length = (28.3 + 0.05) cm, thus 28.25 cm ≤ length < 28.35 cm.
Hope this information is helpful!