Simplify n + -2 to n - 2
(n - 2)(n + 4) = 27
Expand
n^2 + 4n - 2n - 8 = 27
Simplify n^2 + 4n - 2n - 8 to n^2 + 2n - 8
n^2 + 2n - 8 = 27
Move all terms to one side
n^2 + 2n - 8 - 27 = 0
Simplify n^2 + 2n - 8 - 27 to n^2 + 2n - 35
n^2 + 2n - 35 = 0
Factor n^2 + 2n - 35
(n - 5)(n + 7) = 0
Solve for n
<u>n = 5, -7</u>
The expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 12r - 5
A) 6(2r+(-1))+1
= 12r + 6(-1) + 1
= 12r -5
B) -4(2+(-3r))+3
= -8 -4(-3r) + 3
= -5 + 12r
or
= 12r - 5
Thus, the expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.
Learn more about the expression here:
brainly.com/question/14083225
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Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = 
Since, S is being dilated with a scale factor to form T,
So, the figure S is the preimage and figure T will be the image,
Length of one side of image T = 8
Length of one side of preimage = 2
Therefore, Scale factor = 
= 4
Scale factor by which figure S has been dilated to form figure T is 4.
Answer: 7 cm
Step-by-step explanation:
Answer:
x = 2sqrt(5)
Step-by-step explanation:
We can use the Pythagorean theorem to solve
The legs are x and 8/2 =4
and the hypotenuse is 6
a^2 + b^2 = c^2
x^2 +4^2 = 6^2
x^2 +16 = 36
Subtract 16 from each side
x^2 +16-16=36-16
x^2 = 20
Take the square root of each side
sqrt(x^2) = sqrt(20)
x = sqrt(4*5)
x = sqrt(4) sqrt(5)
x = 2sqrt(5)
