Answer:
ABC = 30
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+14 + x+7 = 90
Combine like terms
3x+21 = 90
Subtract 21 from each side
3x+21-21 = 90-21
3x = 69
Divide by 3
3x/3 = 69/3
x = 23
ABC = x+7 = 23+7 = 30
You don't provide the instructions for this problem, leaving it up to me to guess what you might want.
Note that g(x) should be written as g(x) = (x-2)^2, whereas f(x) = g(x) + 3 (as presented).
If we let g(x) be the input to f(x), we get the "composition" of g and f:
f(x) = g(x) + 3 = (x-2)^2 + 3. You could leave the answer as is or you could expand (x-2)^2: f(x) = x^2 - 4x + 4 + 3 (and so on).
Answer:
u = 10
Explanation:
The slope of the lone can be calculated as follows:
slope = (y2-y1) / (x2-x1)
We are given:
slope = -4/3
point (10,6) representing (x1,y1)
point (7,u) representing (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
-4/3 = (u-6) / (7-10)
-4/3 = (u-6) / -3
4/3 = (u-6) / 3
3*4 = 3*(u-6)
4 = u-6
u = 4+6
u = 10
Hope this helps :)
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