Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
Slope is simply rise/run.
or
(vertical shift)/(horizontal shift)
therefore, the x value went from -6 to 2 which means it vertically shifted by 8.
and the y value went from 1 to 5, which means it horizontally shifted by 4.
the slope is 8/4.
or 2.
Step-by-step explanation:
if x is equal to - 1
Then
2x² + 5x + 6
= 2* ( -1)² + 5 * (- 1) + 6
= 2 - 5 + 6
= 8 - 5
= 3
Hope it will help :)❤
Answer:
No
Step-by-step explanation:
First solve both equations:
1) 9x = 5x + 4
Simplifying
9x = 5x + 4
Reorder the terms:
9x = 4 + 5x
Solving
9x = 4 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
9x + -5x = 4 + 5x + -5x
Combine like terms: 9x + -5x = 4x
4x = 4 + 5x + -5x
Combine like terms: 5x + -5x = 0
4x = 4 + 0
4x = 4
Divide each side by '4'.
x = 1
Simplifying
x = 1
2) 14x = 4
14x = 4 (divide both sides by 14 to get x)
14x/14 = 4/14
x = 0.285714285714
As you can see, the value of x in the second equations is less than one, therefore making these algebraic equations not equivalent.
Answer: (x - 2)² + (y - 14)² = 1
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of the circle formula.
Circle formula: (x - h)² + (y - k)² = r²
Center = (h, k)
Radius = r
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
Center = (2, 14)
Radius = 1
<em>Given formula</em>
(x - h)² + (y - k)² = r²
<em>Substitute the value into the formula</em>
(x - 2)² + (y - 14)² = (1)²
<em>Simplify</em>
(x - 2)² + (y - 14)² = 1
Hope this helps!! :)
Please let me know if you have any questions
