Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
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So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
Answer:
72°
Step-by-step explanation:
So the three angles of a triangle always add up to 180°. This means that
This becomes:
And solves as:
The largest angle has to be the one marked with 24x because it has the largest coefficient and x is a constant.
The measure of the largest angle in the triangle is 72°.
Answer: 30
Step-by-step explanation:
Because you can break the pentagonal base into triangles and the formula to find the area of a triangle is 1/2 Bh so 840/14 = 60 divided by 1/2 = 30
