Answer:
The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.
Here is how to do that! First we write the square root of 162 like this:
√162
The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:
√81 × 2
Next, we separate the numbers inside the √ as such:
√81 × √2
√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:
9√2
Step-by-step explanation:
Answer:
a = 132; b = 12; c = 36
Step-by-step explanation:
a = b + 120
b = b
c = 3b
a + b + c = 180
(substitute these into the above equation)
b + 120 + b + 3b = 180
5b + 120 = 180
-120 -120
5b = 60
/5 /5
b = 12
(substitute b back into the first equations)
a = (12) + 120 = 132
b = (12)
c = 3(12) = 36
(check: 132 + 12 + 36 = 180)
Answer:
Step-by-step explanation:
<u>Given function</u>
From the table we get the function g(x), use pairs (1, 10) and (3, 14)
<u>The slope:</u>
- m = (14 - 10)/(3 - 1) = 4/2 = 2
<u>The y-intercept:</u>
- 10 = 2(1) + b
- b = 10 - 2
- b = 8
<u>The function g(x) is found as:</u>
<u>The y- intercept of f (x) is subtracted from the y-intercept of g (x):</u>
Answer:
B. 7x - 5
Explanation
Given the expression 21x^2 + 13x – 20, to get which of the given expression is a factor we will have to factorize the equation first as shown;
21x^2 + 13x – 20
= 21x^2 + 28x - 15x - 20
= 7x(3x+4) -5(3x+4)
= (7x-5)(3x+4)
Hence one of the factors is 7x - 5
