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.
Answer:
x=27
Step-by-step explanation:
please give brainly
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11
Answer:
14%
Step-by-step explanation:
161/115 = 1.4 which you times by 100
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Answer:</u></h2><h2><u>
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Solution Steps:</u></h2>
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<h3>1.) Combine like terms:</h3>
<em> - We do this because we need 1 Number/Variable left over. </em>
<u>Equation at the end of Step 1:</u>
- <u />
<u />
<em />
<h3>2.) Add −17 and 31:</h3>
<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>
<u>Equation at the end of Step 2:</u>
- <u />
<u />
<h3>3.) Subtract 14 from both sides:</h3>
Cancels Out
<em> - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>
<u>Equation at the end of Step 3:</u>
- <u />
<u />
<h3>4.) Multiply both sides by 2:</h3>
- <em />
<em> </em>× 
<em />
- <em />
<em> </em>× 
<em> - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>
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