The equation of the line is y - 3 = 5(x - 8) ⇒ c
Step-by-step explanation:
The point-slope form of the linear equation is 
, where:
- m is the slope of the line
is a point on the line
∵ The line passes through point (8 , 3)
∴ 
= 8 and 
= 3
∵ The slope of the line is 5
∴ m = 5
- Substitute these values in the form of the equation below
∵
∴ y - 3 = 5(x - 8)
The equation of the line is y - 3 = 5(x - 8)
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The prime factores are 7,2,2,2
Answer:
5353 ft
Step-by-step explanation:
We have height of the mountain = x
We also have
tan (21°44')= x/13428.7 → x=5352.98ft
Height of the mountain to the nearest foot = 5353 ft
Hope this helps ʕ•ᴥ•ʔ
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
