Given expressions;
f(x) = x² + 6x + 7
g(x) = 8x² - 2
h(x) = 3x + 4
k(x) = x - 3
Find f(2) - g(2). k(2)
f(2) = 2² + 6(2) + 7 = 23
g(2) = 8(2)² - 2 = 30
k(2) = 2 - 3 = -1
Now, f(2) - g(2). k(2) = 23 - (30)(-1)
= 53
The solution to the problem is 53
Answer:
k=5
Step-by-step explanation:
0.96-1 = -1/k^2
-1/-0.04 = k^2
25=k^2
k=√25
k=5
Answer:
221 mm
Step-by-step explanation:
The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...
3 × 73.5 = 220.5 ≈ 221 . . . millimeters
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The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.
Hello,
We know that all the angles shown add up to 360 (think of a circle).
We also know that the angle of (6x-1)° is congruent to the angle opposite of it. (the "top left" angle) = 6x - 1°
We also know that the angle of (7x-1)° is congruent to the angle opposite of it.
(the "bottom left" angle) = 7x -1°
Knowing the sum of all angles as well as the angle measures in terms of x, we can add all the angle measures and equal it to 360.
So, we get (7x - 1) + (7x - 1) + (6x - 1) + (6x - 1) = 360
Simplify and we get:
26x - 4 = 360
Add 4 to both sides to get 26x = 364
Divide by 26 on both sides to get 14.
x = 14
Hope this helps!
The exact answer is the square root of 7.