Answer: 14 inches
Step-by-step explanation:
From the question, we are informed that a rectangle has a width of 2 inches and a length of 3 inches and has been scaled by a factor of 7.
This simply means that we've to multiply the width of the rectangle by 7 and also multiply the length of the rectangle by 7.
Old width = 2 inches
New width= 2 inches × 7 = 14 inches
The new width of the rectangle is 14 inches
Answer:
1. 15.9
2. 12
3. 7.29
4. 20.8
5. 11.0
Step-by-step explanation:
We can use the Pythagorean Theorem to solve for x (a squared minus b squared equals c squared)
Example number 1 is solved by 17 squared - 6 squared equals 253
You do square root and get 15.90
Number 4 is you have to divide 24 by 2 because it is one of the sides
So it is 24 squared minus 12 squared
You find square root and get 20.80
Answer:
B is true
Step-by-step explanation:
given f(x) = 2x² - x - 1 and g(x) = x - 1
A
If x = - 1 is a root then f(- 1) = 0
f(- 1) = 2(- 1)² - (- 1) - 1 = 2 + 1 - 1 = 2 ≠ 0 ← False
B
If (x - 1) is a factor then x = 1 is a root and f(1) = 0
f(1) = 2(1)² - 1 - 1 = 2 - 1 - 1 = 0
⇒ g(x) = x - 1 is a factor of f(x) ← True
C
If x = 2 is a root then f(2) = 0
f(2) = 2(2)² - 2 - 1 = 8 - 3 = 5 ≠ 0 ← False
D
= 
Cancel the factor (x - 1) on the numerator/ denominator, leaving
= 2x + 1 with remainder 0 ≠ 2 ← False
The value of x will be 6
<u><em>Explanation</em></u>
According to the below diagram, UW is the angle bisector of ∠TUV
<u>That means,</u> 
Given that,
and 
So, the equation will be......

So, the value of x will be 6.