Answer:
106.25
Step-by-step explanation:
99.5+113= 212.5 /2 = 106.25
Step-by-step explanation:
let the eqn be y - y1 = m (x - x1)
sub (-2, 3) and m = -4:
y - (-2) = -4 (x - (-2))
y + 2 = -4 (x + 2)
Topic: Coordinate Geometry
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X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is: y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2
We conclude that the solution to the linear equation is x = 1/24.
<h3>
How to find the number?</h3>
Let's define x as the number.
Now we want to write:
"the sum of 2/3 and for times a number...."
That can be written with the equation:
2/3 + 4*x
And we also know that:
"the sum of 2/3 and for times a number is equal to 5/6"
Then we can complete the linear equation:
2/3 + 4*x = 5/6
Now we need to solve it for x:
2/3 + 4x = 5/6
4x = 5/6 - 2/3
4x = 5/6 - 4/6
4x = 1/6
x = (1/4)*(1/6) = 1/24
x = 1/24
We conclude that the solution to the linear equation is x = 1/24.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
Vertical angles must have the same vertex and be congruent as well.
Step-by-step explanation: