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Alborosie
3 years ago
8

The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below.

Mathematics
2 answers:
Ilya [14]3 years ago
8 0

Answer:

y =-2x+8

Step-by-step explanation:

We have a point and a slope

(5,-2)  and m =-2

The slope intercept form of a line is

y = mx+b

y = -2x+b

Substitute in the point

-2 = -2(5)+b

-2 = -10+b

Add 10 to each side

-2+ 10 = -10+10 +b

8 = b

The equation is

y =-2x+8

professor190 [17]3 years ago
7 0

Answer:

y = negative 2 x + 8

Step-by-step explanation:

y + 2 = negative 2 (x minus 5)

y + 2 = -2x + 10

y = -2x + 10 - 2

y = -2x + 8

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What is the area of this figure?
insens350 [35]

Answer:

54 units squared

Step-by-step explanation:

You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.

Rectangle 1: length=7 width=6          6(7)=42

Triangle 1: base=6 height=2          1/2(6)2=6

Triangle 2: base=3 height=2          1/2(3)2=3

Triangle 3: base=6 height=1          1/2(6)1=3

Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared

5 0
3 years ago
Read 2 more answers
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Greeley [361]
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
8 0
3 years ago
Read 2 more answers
"People should not be afraid of their governments.
zhuklara [117]

Answer:

YESSSSSSSSSSSSSSSSSS

i mean theres a ton of us we can over power them anytime!

4 0
3 years ago
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30tens-3tens3tenths
Pachacha [2.7K]
300 - 30 3/10 = 269 7/10


hope this helps
7 0
3 years ago
Write the equation for the inverse of the function y=Cos^-1(x-pi)
ser-zykov [4K]

we are given

y=cos^{-1}(x-\pi)

Since, we have to find inverse function

step-1:

Set y=f(x)

It is already there

step-2:

Switch x and y

x=cos^{-1}(y-\pi)

step-3: Solve for y

We can take cos on both sides

cos(x)=cos(cos^{-1}(y-\pi))

we can simplify it

cos(x)=y-\pi

now, we can solve for y

cos(x)+\pi=y-\pi+\pi

cos(x)+\pi=y

y=\pi +cos(x)..............Answer


3 0
3 years ago
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