Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Answer:
8
Step-by-step explanation:
<em>we have to follow PEDMAS.</em>
<u>what we have to do in each operation:</u>
Parenthesis ~ 100 + 8 to the second power
Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power
Multiplication ~ none
Division ~ 10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power
Addition ~ 100 + 8 to the 2nd power
Subtraction ~ 10 to the 2nd power - (100+8 to the second power)
<u>doing the work:</u>
we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.
E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.
we can skip M because there isn't any multiplication to do.
D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8
A: we already did the addition in the parenthesis part.
S: we already did the addition in the parenthesis part.
The length is 8. the width is 32.
32(2) = 64
8(2) = 16
64+16 = 80
So the length would be 8 and the width would be 32 since it's 4 times the length.
Hope this helped!
A=17.33174
c=28.79912
A=37
area=199.31505
pls give brainliest if someone else comments :)
Answer:
y-intercept is (0,8)
c. x-intercept is (-8, 0)
Step-by-step explanation:
y=x+8
x=0
y+0=8
y=8
y=0
y=x+8
0=x+8
x=-8
