Answer:
<h2>x = -2 (verified by algebra) ✅</h2>
Step-by-step explanation:
Since we are given the value of y, we can replace it with 5x + 7.
We now have: 3x + 5x + 7 = -9
We can now simplify by adding 3x and 5x to get 8x.
8x + 7 = -9
We can subtract 7
8x = -16
And now, we divide by 8
x = -2
We can check to make sure we are correct
3(-2) + 5 (-2) + 7 = -9
-6 + -10 + 7 = -9
-9 = -9 ✅
We can create two points.
30 feet below the surface of the water 10 seconds after he entered the water
100 feet below the surface after 40 seconds
So we have (10, 30) and (40, 100)
Plug this values into the slope formula:
m = y2-y1/x2-x1
m = (100 - 30)/(40 - 10)
m = 70/30
m = 2 1/3
The answer to the proportion is t=52.5
Answer:
x = 10
Step-by-step explanation:
To find x, write a proportion between the side lengths for the similar triangles in the figure.
To solve, cross multiply and isolate x.
(x+5)(12) = 18(x)
12x + 60 = 18x
60 = 6x
10 = x
