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Lapatulllka [165]
2 years ago
10

Simplify the expression 10 + [4(15-5) - 4)

Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0

Answer:

46

Step-by-step explanation:

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Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

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

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
9 months ago
A cylinder has a radius of 6 inches and a height of 2 feet. Which of the following should be done first in order to find the vol
zvonat [6]
The significant components, the radius and the height, are in inches and feet respectively, you'd need to convert them both to the same unit, whichever it may be, meters or feet or inches or millimeters, so long is the same, then use the volume of a cylinder equation to get it.
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3 years ago
there were 6 inche of snow on the street.After a storm, the snow increased by 2/3 of the original amount. After a sunny day, 2/3
Eddi Din [679]

Answer:

6 inches.

Step-by-step explanation:

plus 2/3 and minus 2/3

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3 years ago
Which of the following will most likely produce sample proportions that are
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The answer you are looking for is 14.
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_ _ 4 <br> +68_ <br> = - 327 <br> find missing numbers
blagie [28]

Answer:

354 and 681

Step-by-step explanation:

I just played with numbers because I learned this when I was 4 but forgot the concept, but now I’m 12 in 11th grade.

4 0
1 year ago
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