Answer:
1/2
Step-by-step explanation:
We do change in y over change in x
<u>Formula for Rate of Change on Slope</u>
y2-y1/x2-x1
<u>For Y</u>
We use coordinate (-2, -4)
-4--2
= -2 - -4
= 2
<u>For X</u>
We use coordinate (0, -4)
0 -- 4
= 0 + 4
= 4
Now we put y over x to find the rate of change in slope
2/4, simplified would be 1/2
All makes sense pretty sure it is 24
The distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.
<u><em>Explanation</em></u>
According to the diagram, length of the ramp is,
inches. The top of the seat cushion is 28 inches above the floor. That means,
inches
We need to find the distance from the base of the ramp to the base of the sofa which is 
In right angle triangle
, using Pythagorean theorem...

So, the distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.
Answer:
Distributive property of equality
Step-by-step explanation:
The first thing to do in an equation is to distribute.
Answer:
0.756
Step-by-step explanation:
It is given that a machine has four components, A, B, C, and D.

If these components set up in such a manner that all four parts must work for the machine to work properly.
We need to find the probability that the machine works properly. It means we have to find the value of
.
If two events X and Y are independent, then

Assume the probability of one part working does not depend on the functionality of any of the other parts.

Substitute the given values.



Therefore, the probability that the machine works properly is 0.756.