A few key words you should know:
"times" means to multiply
"square" means a number multiplied by itself
"increased by" means to add
With these words in mind, you can translate the wording into an equation. Let's represent the unknown number as "x."
The wording of the question is extremely ambiguous because there are multiple ways to interpret almost every part of the question "increased by 6 times the number." Is the expression increased by 6x? Or increased by 6, then multiplied by x?
4 * (x^2) + 6x = 108
4x^2 + 6x - 108 = 0
x = -6, 4.5
[4 * (x^2) + 6 ]*x = 108
(4x^2 + 6)x = 108
4x^3 + 6x =108
4x^3 + 6x - 108 = 0
Plotting this equation on a graphing calculator, the zero is found when
x = 2.834
The question asks to "find the number," and the second way yields only one solution, which suggests the second way: x = 2.834.
Answer:
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Step-by-step explanation:
Answer:
SSA Theorem with two sides and an angle
Step-by-step explanation:
When we do a 90 degree counterclockwise rotation about the origin, a point moves from ( x,y) to ( -y,x)
Using the point with the blue dot
It is originally at (2,-3)
It will move to (3,2)