9514 1404 393
Answer:
y -1 = -1(x -2)
Step-by-step explanation:
The slope of the line through the two points can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -2) = 4/-4 = -1
The point-slope equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...
y -1 = -1(x -2)
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<em>Additional comment</em>
Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.
Answer:
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
Step-by-step explanation:
A hypothesis test on the difference between the means must satisfy the following conditions
1) the samples must be randomly selected
2) each sample must have a known standard deviation
3) the samples must be independent
4) the samples must be from normal distribution
Hence only part d gives the right answer.
The formula for perimeter is P = 2length + 2width (P = 2L + 2W)
You know that the length is 4 more yards then twice the width. In equation form this would be:
length = 4 + 2w
Plug what you know into the perimeter formula:
26 = 2(4 + 2w) + 2w
First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...
26 = (2 * 4) + (2 * 2w) + 2w
26 = 8 + 4w + 2w
Now you must combine like terms. This means that first numbers with the same variables (w) must be combined...
26 = 8 + 4w + 2w
4w + 2w = 6w
26 = 8 + 6w
Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.
26 - 8 = 8 - 8 + 6w
18 = 0 + 6w
18 = 6w
To isolate w divide 6 to both sides
18 / 6 = 6w / 6
w = 3
We know that the width is 3 ft
Now you must find the length. To do this plug 3 where you see w in the equation:
length = 4 + 2w
l = 4 + 2(3)
l = 4 + 6
l = 10
We know that length is 10 ft
Letter B. is the correct answer
Hope this helped!
~Just a girl in love with Shawn Mendes
39.2 is what percent p of 112
39.2/112
39.2 ÷ 112 = 0.35
Convert to percent:-
0.35 × 100 = 35
35%
3.92 is 35% of 112.
