Complete the equation of the line through (-9 -9) and (-6 0)
1 answer:
Answer:
y = 3x + 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 9) and (x₂, y₂ ) = (- 6, 0)
m = =
= 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (- 6, 0), then
0 = - 18 + c ⇒ c = 0 + 18 = 18
y = 3x + 18 ← equation of line
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Answer:
The area of the sector (shaded section) is 29.51 .
Step-by-step explanation:
Area of a sector = (θ ÷ 360)
where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r =
= = 13 m
θ = 360 - (180 + 160)
= 360 - 340
=
Thus,
area of the given sector = x
x
= x x
x 169
= 29.5079
The area of the sector (shaded section) is 29.51 .
Hope this is what you are looking for
Answer:
x^2 +y^2 = 4y
Step-by-step explanation:
Using the usual translation relations, we have ...
r^2 = x^2+y^2
x = r·cos(θ)
y = r·sin(θ)
Substituting for sin(θ) the equation becomes ...
r = 4sin(θ)
r = 4(y/r)
r^2 = 4y
Then, substituting for r^2 we get ...
x^2 +y^2 = 4y . . . . . matches the first choice
