Answer:
Y intercept will be -4.
Step-by-step explanation:
Here we are given our function as
We are asked to determine the y intercept.
The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.
Please note that the point at which graph cuts the y axis have x=0
Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :
Putting x =0
subtracting both sides by 8
dividing both sides by 2
=-4
Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
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If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
71 - 2n I think I hope I'm right
Answer:
f(g(x)) = x^2 + 27.
Step-by-step explanation:
To find f(g(x)) we replace the x in f(x) by g(x) and simplify:
f(g(x)) = 7(x^2 + 2) + 13
= 7x^2 + 14 + 13.
= 7x^2 + 27.
