Answer: The number is 10.
Step-by-step explanation:
Let x be the required number.
Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.
The mathematical statement for the given situation,
11x -24 = 86
To solve the equation, Add 24 on both sides , we get
11x - 24 +24 = 86+24
⇒ 11x = 110
Divide both sides by 11, we get
x = 10
hence, the number is 10.
Answer:
Step-by-step explanation:
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Answer:
5) A
6) A
Step-by-step explanation:
5) With the sides of the rectangle being dilated, multiply the side lengths by the scale factor
7.5(2.2) and 3(2.2)
16.5 and 6.6
6) Multiply the coordinates by the scale factor as dilations work as (x, y) -> (kx, ky)
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
Roots of the polynomial are
Step-by-step explanation:
We need to find roots of the polynomial equation:
Solving the polynomial to find roots:
Finding factors by grouping:
So, roots of the polynomial are
Keywords: Roots of Polynomial
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