The equation x² - 8x = 16 will equal to (x - 4)² = 32 so option (C) will be correct.
<h3> What is an expression?</h3>
An expression is a mathematical proof of the equality of two mathematical expressions.
Expressions are collections of variables, numbers, addition, subtraction, multiplication, and division.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
x² - 8x = 16
x² - 8x - 16 = 0
Add and subtract 16 to the left-hand side
(x² - 8x +16) - 16 - 16 = 0
(x - 4)² - 32 = 0
(x - 4)² = 32
Hence the expression (x - 4)² = 32 will equal to x² - 8x = 16 .
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Answer:
Reference Point
Step-by-step explanation:
The answer is reference point. This is because reference point is used to determine if an object is in motion or if it has changed is direction.
Thus, reference point has to be a value of zero for us to use it to determine if an object has moved.
Answer:
The answer that is correct is salome's answer because when u multiply by 100 you would add 2 zeros
4. What you want to do is first find the tan ratio, because tangent is opposite / adjacent, which you can use to find x.
So tan(52) = 1.28 ish. So we know that x/18 = 1.28.
Then multiply both sides by 18.
x / 18 * 18 = 1.28 * 18
x = about 23.
5. Now, you can use the pythagorean's theorem, a^2 + b^2 = c^2.
Just input all values.
18 ^ 2 + 23 ^ 2 = c ^ 2
324 + 529 = c ^ 2
853 = c^2
square root of 853 = c
x = 29.2 ish
6. In this case, use cosine, or adjacent / hypotenuse.
cos(16) = 0.96 ish
so that means 24/x = 0.96
Then basically,
24 / 0.96 = x
x = 25
So x = 25
Then you can use the Pythagorean's Theorem again. I'm not going to go as in depth.
a ^ 2 + b ^ 2 = c ^ 2
24 ^ 2 + b ^ 2 = 25 ^ 2
576 + b ^ 2 = 625
b ^ 2 = 49
b = 7
8. Use tan here. opposite/adjacent Again, not going as in depth.
tan(55) = 1.43 ish
1.43 = Y / 22
1.42 * 22 = Y
Y = 31.24 ish
Length of MN:
31.24 ^ 2 + 22 ^ 2 = c ^ 2
976ish + 484 = c ^ 2
1460 = c ^ 2
x = 38.2 ish
10. Use cosine.
cos(63) = about 0.45
Adjacent / hypotenuse
3 / x = 0.45
3 / 0.45= x
x = 6.67
And then pythagorean's Theorem.
6.67 ^ 2 = 3 ^ 2 + b ^ 2
44.5 = 9 + b ^ 2
35.5 = b^2
b = about 6
Answer:
ray
Step-by-step explanation:
A ray is a line that extends in one direction from its end point.
