Answer:
y = - 3x + 19
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 )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (6, 1) into the partial equation
1 = - 18 + c ⇒ c = 1 + 18 = 19
y = - 3x + 19 ← equation of line
Answer:
V(x) = (x +4)(x +2)(2x +11)
Step-by-step explanation:
For length L = (x+4), the height is ...
2L +3 = 2(x+4) +3
= 2x +8 +3
= 2x +11
The volume is the product of length, width, and height, so is ...
V = (x +4)(x +2)(2x +11)
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
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Double-Check
.5 * 15 * 8 = 60
