Y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value and 'm' is the slope.
y - 8 = -1.2(x - 7)
Distribute -1.2 into the parenthesis:
y - 8 = -1.2x + 8.4
Add 8 to both sides:
y = -1.2x + 16.4
He should earn $121.60 in 19 hours
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
<h3>What is a rectangle?</h3>
It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
More about the rectangle link is given below.
brainly.com/question/10046743
There are 10 marbles total.
You picked a marble and replaced it 50 times, so you have:
9/50 were purple
16/50 were orange
6/50 were yellow
19/50 were green
Multiply those by the number of marbles:
10*9/50 = 1 4/5 purple, round to 2
10*16/50 = 3 1/5 orange, round to 3
10*6/50 = 1 1/5 yellow, round to 1
10*19/50 = 3 4/5 green, round to 4
2+3+1+4 = 10
So you can say that there are 2 purples, 3 oranges, 1 yellow, and 4 green marbles.
Answer:
AC = 14 sqrt(2) = 19.80
Step-by-step explanation:
Below is the diagram showing you how this has been set up. The figure is a trapezoid which means BC and AD are parallel. AC is a transversal of the parallel lines.
Givens
- <ABC = <ACD
- ABCD is a trapezoid
- BC = 14
- AD = 28
- AC is a transversal of BC and AD
Solution
- <ABC = <ACD Given
- <DAC = <ACB Alternate interior angles.
- ΔACB ≅ΔDAC AA
- <BAC = <ADC Angles of similar triangles are equal
- AC /28 = 14/AC Form a proportion from corresponding sides
- AC*AC = 14 * 28 Cross multiply the proportion. Combine
- AC^2 = 392 Express as prime factors.
- AC^2 = 7*7*2*2*2 Take the square root of both sides
- sqrt(AC)^2 = sqrt(7*7*2*2*2)
- AC = 7*2 * sqrt(2)
- AC = 14 sqrt(2) = 19.80