Answer:
slope: -(9/8)
y-intercept: 7
equation: y = -(9/8)x + 7
Step-by-step explanation:
Solve for the slope.
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (8 , -2)
(x₂ , y₂) = (0 , 7)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (7 - (-2))/(0 - 8)
<em>m</em> = (7 + 2)/(0 - 8)
<em>m</em> = 9/-8
Your slope is -(9/8)
Solve for the y-intercept. Plug in your slope into the slope intercept form:
y = mx + b
Let:
(x , y) = (0 , 7) & m = -(9/8)
Plug in the corresponding numbers to the corresponding variables:
7 = -(9/8)(0) + b
Simplify:
7 = (-9/8 * 0) + b
7 = (0) + b
b = 7
Your y-intercept is 7.
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Answer:
Denote adding term = a
a = (5/6x) - 4 - (1/2x) - 4
a = (5/6x) - (1/2x)
a = (5/6x) - (3/6x)
a = (2/6x)
a = (1/3x)
*******************************
a = (5/6)x - 4 - (1/2)x - 4
a = (5/6)x - (1/2)x
a = (5/6 - 1/2)x
a = (1/3)x
Hope this helps!
Factor out 4x first
4x(6x² + x - 1)
factor the rest as normal, knowing that what adds to give the middle term multiplies to give the last term.
4x(2x + 1)(3x - 1)
Acres = 640 * sq miles
acres = 640 * 3.5
acres = 2,240 square miles
**************************************************************
Incidentally, here's how that 640 acres per square mile is derived.
1 acre = 43,560 square feet
1 square mile = 5,280^2 =
<span>
<span>
<span>
27,878,400
</span>
</span>
</span>
square feet
<span>
<span>
27,878,400
</span>
/ 43,560 = 640 acres exactly</span>
