Answer:
y = 
x - 11
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 = 
with (x₁, y₁ ) = (4, - 5 ) and (x₂, y₂ ) = (8, 1 )
m = 
= 
= 
= , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 1 ) , then
1 = 12 + c ⇒ c = 1 - 12 = - 11
y = x - 11 ← equation of line in slope- intercept form
Answer:
c) 2 pi x
Step-by-step explanation:
The circumference is based on the equations:
C = pi * d where d = diameter
We also know that the radius is half of the diameter as its the length of a line from the centre of the circle while the diameter is the length of two opposite points through the centre of the circle.
This tells us that d = 2r
So we can replace the equation for the circumference with:
C = pi * 2r
An increase of x to the radius would thus mean that the circumference is increased by 2(pi * x), as 2(pi * (r + x) could be used to find the new value of the circumference, which is the same as:
2(pi * r) + 2(pi * x)
So the answer is 2 pi x
Answer:
The first two is x=60
Step-by-step explanation:
1.5/90 = 1/x
1.5x = 90 x 1
1.5x/1.5 = 90/1.5
x = 60
Answer:
x = 19
Step-by-step explanation:
(5x + 4)° + (x - 2)° + (3x + 7)° = 180°
(5x + x + 3x)° + (4 - 2 + 7)° = 180°
9x° + 9° = 180° → ÷9
x + 1 = 20
x = 20 - 1
x = 19
Answer:
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Step-by-step explanation:
