For this case we have the following situation:
The monthly cost of a gym in the city is $ 3. The initial registration is $ 25. Write a mathematical expression that models the problem.
So we have to define variables:
x: number of months
y: total cost
The mathematical expression that models the problem is:
Answer:
A≈166.28in²
Step-by-step explanation:
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Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?
3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.
Steps:
We set the equation to:
3x+13+7x+2+75=180
We can combine some terms
10x+90=180
Then, we isolate x
10x=90
And we divide by 10
x=9
Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a
3(9)+13
Multiply
27+13
Add
40
I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.
Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.
Now use the slope-intercept formula to find the y-intercept, b.
One point on the line is (-3,16), and the slope is m = -2.
Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.
So now we have the slope and the y-intercept. Write the equation:
y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?