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:
x = 8
Step-by-step explanation:
Given
- x = - 8 ( multiply both sides by - 1
- x × - 1 = - 8 × - 1, that is
x = 8
Answer:
2 1/4
Step-by-step explanation:
Each person gets 2 1/4 bread sticks.
9÷4= 2 1/4
Use the formula:
Radio= r, Height= h
V= 3.14xrx2h
r =25, h=31
V= 3.14 x 25 x 2 (31) =. 4867
V= 4867 cubic inches
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Pints and Quarts are measures of volume. The relationship between them is rather simple.
We know 2 pints = 1 Quart
The problem gives us the number of pints and we need to find the number of quarts. From the relationship, we see that "pints divided by 2 will give us quarts"
Given >> 10 pints
Hence, number of quarts would be 10/2 = 5
Hence 10 pints = 5 quarts
Answer choice B is right.
