We know that :
Ф Product of the slopes of two lines perpendicular to each other should be equal to -1
Let the slope of the line perpendicular to given line be : M
Given equation of the line : y = -1/2x + 4
This line is in the form : y = mx + c, where m is the slope and c is the y intercept
Comparing with y = mx + c :
we can notice that slope of the given line is -1/2
⇒ M × -1/2 = -1
⇒ M × 1/2 = 1
⇒ M = 2
<u>Answer</u> : Slope of the line perpendicular to given line is 2
4x+7y=4.88 -> mult by -3 -> -12x-21y=-14.64
12x+8y=7.88
-12x-21y=-14.64
Add the two above equations together, the y will be left:
-13y=-6.76
y=0.52 —> cost of each apple (plug back into one of original equations, I chose 4x+7y=4.88:
4x+7(0.52)=4.88
Solve for x.
x=0.31 —> cost of each orange
To
answer this item, we use the equation given for the calculation of the area of
the triangle.
A
= 0.5bh
Substituting
the known expressions,
A = (0.5)(3x – 6)(2x + 4)
Part
A: Use distribution method to simplify the expression for the calculation of
area.
A
= 0.5(6x^2 + 12x – 12x – 24)
A
= 0.5(6x^2 – 24)
<span> A
= 3x^2 – 12</span>
Part B: The equation for area of has a degree of two
because the highest exponent is 2.
<span>Part
C: The closure property of polynomials is always closed for multiplication.</span>
The answer is irrational I believe. It’s not a decimal that just ends.
