Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
36 3/4 = 36.75
36 3/8 = 36.375
37 1/2 = 37.5
36 5/8 = 36.625
(36.75 + 36.375 + 37.5 + z) / 4 = 36.625
(110.625 + z) / 4 = 36.625
110.625 + z = 36.625 * 4
110.625 + z = 146.5
z = 146.5 - 110.625
z = 35.875 or 35 7/8 <===
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 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.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
Both (m + n)2<span> and 36 are </span>perfect<span> squares, and 12(m + n) is twice the product of (m + n) and 6. Since the middle term is positive, the pattern is (a + b)</span>2<span> = a</span>2<span> + 2ab + b</span>2. Place the x2<span> tile, 4 x-tiles and 4 1-tiles in the grid. Fill the outside sections of the grid with x-tiles and 1-tiles that complete the pattern.</span>
Answer:
-27÷(-3)-9
=0
Step-by-step explanation:
Hope this helps you.
