Answer:
x = -2
y = 10
Step-by-step explanation:
Since they already gave y as -3x +4, you will then have to substitute that amount into the formula
9x + 5y = 32
By doing that you get
9x +5(-3x+4) = 32
9x -15x +20 = 32
Then, you ill take 20 to the other side to subtract 32, which will get you
-6x = 12
Then, you will get x = -2
Then substitute that for the equation
y = -3x + 4
You will get
y = -3(-2) + 4,
You will get y as 10
SO then your final answer is x = -2, y = 10
Put the other line in point slope form...(solve for y :D )
3y=15x+9
y=5x+3, so this line has a slope of 5
For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...
s1*s2=-1
So for the other line to be perpendicular to the first:
5m=-1, m=-1/5, thus our other line (so far) is:
y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":
-1=b-(-8)/5
-1=b+8/5
-1=b+1.6
b=-2.6
So the perpendicular line that contains the point (-8,-1) is:
y=-0.2x-2.6
Volume is L x W x H
8 x 10 x 3 = 240 cubic units
Answer:
Area: 135 ft^2
Perimeter: 50 ft
Step-by-step explanation:
area:
take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over
subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2
A = 54/2
A = 27
add 27 + 108 to get the total area
135
perimeter:
18 + 9 + 11 + 12 = 50
If your question is will he have enough money, the answer is no he will not.
