Answer:
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Step-by-step explanation:
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Answer:
y = 
x - 3
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 ) = (- 5, - 7) and (x₂, y₂ ) = (5, 1)
m = 
= 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 1), then
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
Answer:p = -1.25
Step-by-step explanation:
Simplifying
3 + 17p = -32 + -11p
Solving
3 + 17p = -32 + -11p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '11p' to each side of the equation.
3 + 17p + 11p = -32 + -11p + 11p
Combine like terms: 17p + 11p = 28p
3 + 28p = -32 + -11p + 11p
Combine like terms: -11p + 11p = 0
3 + 28p = -32 + 0
3 + 28p = -32
Add '-3' to each side of the equation.
3 + -3 + 28p = -32 + -3
Combine like terms: 3 + -3 = 0
0 + 28p = -32 + -3
28p = -32 + -3
Combine like terms: -32 + -3 = -35
28p = -35
Divide each side by '28'.
p = -1.25
Simplifying
p = -1.25
Answer:
D 98°
Step-by-step explanation:
180-82 = 98 or the long way
3x+5 = 180-82
3x = 93
x = 31
3(31) + 5 = 98
