Hey there!
There are a few ways to do this, but I'll give you the one I can explain best.
This is a right triangle. We know this because one of the angles is 90º.
The lengths of the sides of the right triangle can be represented by the following equation:
a² + b² = c²
We already have the values for a and c, c being the hypotenuse.
3² + b² = (√18)²
Let's square a and c.
9 + b² = 18
Subtract 9 from each side of the equation.
b² = 9
To find the final value for b, find the square root of each side of the equation.
b = 3
Your answer is 3, or option D.
Hope this helps!
Answer:
fx = x^4 - 7x^3 + 7x^2 + 21x - 30
the symbol ^ means the power of.
Answer:
angle 1 should equal to 54.
angle 2 should equal to 126.
Step-by-step explanation:
2x - 8 + 4x + 2 = 180
2x + 4x - 8 + 2 = 180
6x - 6 = 180
6x - 6 + 6 = 180 + 6
6x = 186
6x ÷ 6 = 186 ÷ 6
x = 31
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2x - 8 = A1
2(31) - 8 = A1
62 - 8 = A1
54 = A1
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4x + 2 = A2
4(31) + 2 = A2
124 + 2 = A2
126 = A2
Selection C is appropriate.
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The change in x for the offered points is -6, -2, 16, 20, so the slope of 1/2 will make the change in y be -3, -1, 8, 10. When added to 5, these values are 2, 4, 13, 15. Only 13 matches the second coordinate of the given answer, so only (9, 13) will be a point on the line.
So, the prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers.
