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2 years ago

If a number is decreased by 8, the result is -21. What is the

Mathematics

1 answer:

wariber [46]2 years ago

4 0

Answer:

answer = -13

Step-by-step explanation:

number = x

x - 8 = -21

x = -21 + 8

= -13

Recheck :

num = - 13

decreased by 8 = - 13 -8 = -21

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What is the perimeter of the rectangle? Write your answer in scientific notation

marissa [1.9K]

The formula is 2(l+w)

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3 years ago

What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

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2 years ago

£6000 is to be shared among David, Daniel and Dennis, Daniel is to get one and a half times as much as David, while Denis is to

Elina [12.6K]

Answer:

Step-by-step explanation:

9+9+9+9=36 or 9 times 3

HOPE IT HELPS Y'ALL:)

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2 years ago

A line with a negative slope intersects a horizontal line 3 units above the x-axis. Select each point that can not be the inters

AnnyKZ [126]

Step-by-step explanation:

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Looking at the options, (-3, 5), (3, -2) and (0, -3) are all invalid points.

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2 years ago

Molly spends 5 hours a week in art class. How many minutes does she spend in art class every week?

vampirchik [111]

Answer:

she spends 300 minutes in art class a week

Step-by-step explanation:

5 x 60 is 300

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2 years ago