<u>1. </u>Subtract 24 from both sides
-3x = -27 - 24
Simplify -27 - 24 to -51
-3x = -51
Divide both sides by -3
x = -51/-3
Two negatives make a positive
x = 51/3
Simplify 51/3 to 17
<u>x = 17</u>
<u>2.</u> Regroup terms
n/5 - 17 = 33
Add 17 to both sides
n/5 = 33 + 17
Simplify 33 + 17 to 50
n/5 = 50
Multiply both sides by 5
n = 50 * 5
Simplify 50 * 5 to 250
<u>n = 250</u>
Answer: Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Step-by-step explanation:
The perimeter of the regular polygon is 70 inches
<h3>How to determine the perimeter of the regular polygon?</h3>
The sides of the regular polygon is given as:
Side = 10 in
The regular polygon has 7 sides
So, the perimeter of the polygon is calculated as:
P = Side lengths * Number of sides
This gives
P = 10 inches * 7
Evaluate
P = 70 inches
Hence, the perimeter of the regular polygon is 70 inches
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Answer:
7
Step-by-step explanation:
Since, M is between S and T.
Therefore, SM + MT = ST
9x- 8 + 2x + 3 = 72
11x - 5 = 72
11x = 72 + 5
11x = 77
x = 77/11
x = 7
We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2