Using synthetic division, find (x^4 − 2) ÷ (x + 1).
1 answer:
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Answer:
y = - 2x + 13
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, 3) and (x₂, y₂ ) = (4, 5)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 5), then
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Answer:
1. area of new pen = 11
2. i. 5 feet by 2 feet
ii. 2 ½ feet by 4 ½ feet
Step-by-step explanation:
The size of the pen as planned = 5 ft long by 4 ½ ft wide
Area of the pen = length x width
= 5 x 4 ½
= 5 x
Area of the pen =
= 22 ½
But, Krista has to make the pen ½ the size of planned. So that;
area of new pen = ½ x 22 ½
= ½ x
=
= 11
area of new pen = 11
The area of the new pen would be 11
.
The possible values she could use are:
i. 5 feet by 2 feet
ii. 2 ½ feet by 4 ½ feet