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Vika [28.1K]
2 years ago
6

Please answer very quickly

Mathematics
1 answer:
PolarNik [594]2 years ago
3 0

Answer:

ABD

Step-by-step explanation:

You might be interested in
-
alisha [4.7K]

Answer:

d=3\sqrt{2}\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{9-5}{7-3}

m=\frac{4}{4}=1

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=1\\point\ (3,5)

substitute

y-5=(1)(x-3)

isolate the variable y

y=x-3+5

y=x+2 -----> equation A

step 2

Find the equation of the perpendicular line to the given line L  that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

The slope of the given line L  is m=1

The slope of the line perpendicular to the given line L  is

m=-1

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=-1\\point\ (2,10)

substitute

y-10=-(x-2)

isolate the variable y

y=-x+2+10

y=-x+12 ----> equation B

step 3

Find the intersection point equation A and equation B

y=x+2 -----> equation A

y=-x+12 ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(2,10) and (5,7)

substitute

d=\sqrt{(7-10)^{2}+(5-2)^{2}}

d=\sqrt{(-3)^{2}+(3)^{2}}

d=\sqrt{18}\ units

simplify

d=3\sqrt{2}\ units

see the attached figure to better understand the problem

6 0
3 years ago
If the sales tax rate is 6%, find the tax on a $429.95 television to the nearest cent.
dexar [7]

Answer:

25.800

Step-by-step explanation:

6 persecnt of 429.95 is 25.800 rounded if you need it where i subtract it from the total its 404.150 or 404.15

8 0
3 years ago
Anson estimated he would need 17 hours to complete his science project. He actually needed 19 1 2 19 1 2 hours. What was his per
satela [25.4K]

Answer:

The answer is B. 14.7%.

Step-by-step explanation:

Given:

Estimated time need to complete project 17h.

Actually time needed 19\frac{1}{2}h=\frac{39}{2}h.

Difference between the time ET-AT= \frac{39}{2}- 17\\=\frac{39}{2} -\frac{34}{2}\\ =\frac{5}{2}=2.5h.

So, the percentage error is \frac{2.5}{17}\times100\\ =\frac{250}{17} \\=14.70%.

Therefore, the answer is B. 14.7%.

 

7 0
3 years ago
Read 2 more answers
Find the shaded area.
OleMash [197]

Answer:

13.73

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Dale keeps all of his pairs of shoes in his closet. select the number of shoes that dale could have in his closet
Ugo [173]
I need more to answer this question
5 0
3 years ago
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