Answer:
a = -1
Step-by-step explanation:
The general equation for a straight line is y = mx+c, where m is the gradient/ slope, so m = -5. The first thing we need to do is find c, which we do by plugging in the x and y values that we already know: y = 7 and x = -2
7 = -5*(-2) + c
7 = 10 + c
c = 7-10 = -3
Now, we have the general equation of y = -5x -3 and we can use this to find a.
We'll treat a as x and y will be equal to 2:
2 = -5a -3
5 = -5a (Divide both sides by 5)
-a = 1 (now by -1)
a = -1
Answer:

Step-by-step explanation:
Circumference is the perimeter of a circle. It can be found using the formula:

However, we are given the radius.
- The radius measures from the center to the edge of the circle.
- The diameter measures from edge to edge through the center.
- So, the diameter is twice the radius, or d=2r
The formula can be rewritten as:

We know the circumference is 25.12 inches.

Let's round pi to 3.14

We want to solve for the radius, so we must isolate it.
Divide both sides by 3.14 because the inverse of multiplication is division.


Divide both sides by 2.


The radius of the disc is <u>4 inches.</u>
Answer:
45,000
Step-by-step explanation:
You should divide 20 by 600 to see how many miles he would run per mile
and you take 30 x 1,500 to get your answer
41-28=13 questions, but you also have to do 41 and 28, so 15 questions
Answer:
39 units by 51 units
Step-by-step explanation:
The painting is a scale factor of 1/3, so each side length is 1/3 of the original. To find the original multiply both side lengths by 3.
13x3 = 39
17 x 3 = 51