a) find the slope of the line using the given points.
Slope: 9 - -3/6-0 then slope is 12/6 which is 2
Then using formula: y = mx+b
-3 = 2(0) + b
b = -3
The equation is: y = 2x -3
B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2
y = mx + b is used again
2 = -1/2(0) + b
b = 2
The equation is: y = -1/2x +2
Answer:
x=-5
Step-by-step explanation:
1/2x^2+5x+25/2=0
Multiply each side by 2 to clear the fractions
2*(1/2x^2+5x+25/2)=0*2
Distribute
x^2+10x+25=0
What two numbers multiply together to give us 25 and add together to give us 10
5*5 = 25
5+5 =10
(x+5) (x+5) =0
Using the zero product property
x+5 =0 x+5 = 0
x+5-5= 0-5 x+5-5 =0-5
x=-5 x=-5
x=-5
The length of the shadow is 124.7 in
<u>Explanation:</u>
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Given:
Angle, θ = 30°
Height of the fence, h = 72 in
Length of the shadow, l = ?
Given:
tan 30° = 
Therefore, the length of the shadow is 124.7 in
Answer: Corn = 200 acres
Wheat= 400 acres
Step-by-step explanation:
Let the number of acres of corn = c
Let the number of acres of wheat = w
The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:
c + w = 600
c = 600 - w
Cultivation cost equals:
= 40c + 25w = 18000
Since c = 600 - w, we slot it into the equation
40c + 25w = 18000
40(600 - w) + 25w = 18000
24000 - 40w + 25w = 18000
Collect like terms
24000 - 18000 = 40w - 25w
6000 = 15w
w = 6000/15
w= 400
400 acres of wheat will be planted
Since c + w = 600
c = 600 - 400
c = 200
200 acres of corn should be planted
Answer:
See attachment
Step-by-step explanation:
On attachment
