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
Given:
The dimensions of a rectangle are 
and 
.
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
The dimensions of a rectangle are and . So, the area of the given rectangle is:
Therefore, the correct option is F, i.e., 
.
Answer:
940
Step-by-step explanation:
188
<u>× 5</u>
940
--------------------------------------------------------
8 * 5 = 40
Carry the 4 to the next 8
8 * 5 = 40
Add the 4 to the 40
40 + 4 = 48
Carry the 4 to the 1
1 * 5 = 5
Add the 4
5 + 9
= 940
*Hope this helps .^.*
Answer:
D
Step-by-step explanation:
I'm not sure what you're asking but if you're looking for simplification, here it is. -7x² + 2x - 12
