The standard form of the equation of circle is:
(x – h)^2 + (y – k) ^2 = r^2
Where the center being at the point (h, k) and the radius
being r
Substituting the values to the equation:
<span>(-15 - (-7)) ^2 + (y – (-1)) ^2 = 13^2 </span>
64 + (y +1) ^2 = 169
(y +1) ^2 = 105
y + 1 = 10.247
<span>y = 9.247</span>
Answer: " x = 9 " .
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Explanation:
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To calculate the mean:
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The mean =
{the sum of all the values in the number set} ÷
{the number of values in the data set} ;
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To solve for "x" ;
____________________________________
Given that the "mean" is: "8" ;
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8 = { 3 + 7 + 9 + 12 + x } / 5 ;
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↔ { 3 + 7 + 9 + 12 + x } / 5 = 8 ;
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→ { 3 + 7 + 9 + 12 + x } = 8 * 5 ;
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→ { 31 + x } = 40 ;
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↔ x + 31 = 40 ;
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Subtract "31" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
____________________________________
→ x + 31 − 31 = 40 − 31 ;
→ x = 9 .
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Step 1: Simplify both sides of the equation.
3
x
+
2
=
−
13
Step 2: Subtract 2 from both sides.
3
x
+
2
−
2
=
−
13
−
2
3
x
=
−
15
Step 3: Divide both sides by 3.
3
x
3
=
−
15
3
x
=
−
5
Answer:
x = 2.5y
Step-by-step explanation:
If a cow can give 5 gallons of milk after eating 2 pounds of grass.
Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.
Hence,
5y = 2x
We will simplify it to get what x equal to y by dividing 2 on both side we find,
x = 2.5y
x is equal to 2.5 y
By eating 1 pound of grass cow can give 2.5 gallons of milk.
