Answer:
slope is (-7/4) and y-intercept is 7
Step-by-step explanation:
If we convert the equation 7x + 4y = 28 into Slope-intercept form, we can find the slope and the y-intercept.
7x + 4y - 7x = 28 - 7x
4y = 28 - 7x
divide both sides by 4
y = (28 - 7x)/4
y = 7 - 7x/4
slope is (-7/4) and y-intercept is 7
Answer:
10 yd 15 in, or 10.33 3 in.
If one foot is .33 repeating of a yard, then
10.33 3 inches is your answer.
Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Given

Required
Solve

We start by converting the division sign to multiplication

Then, we divide -9 by 3
Then, we divide 8 by -4
Multiply -2 and -3 to give final result

Hence,
is equivalent to 6
Answer:
The area of the associated sector is
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to

we have

substitute and solve for r


step 2
Find the area of the circle
we know that
The area of the circle is equal to

we have

substitute

step 3
Find the area of the associated sector
we know that
subtends the complete circle of area 
so
by proportion
Find the area of a sector with a central angle of 
