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2 years ago

Simplify the expression. Show all of your work. 16 plus 4 cubed times 2 divided by 16

Mathematics

1 answer:

frozen [14]2 years ago

4 0

Answer:

528

Step-by-step explanation:

Question: 16 + $4^{3}$ * 2 ÷ 16

Work:

$4^{3}$ = 64

2/16 = 0.125

64/0.125 = 512

512 + 16 = 528

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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

7 0

2 years ago

What is the lateral surface area?

Luda [366]

Answer:

56.556 square inches

Step-by-step explanation:

Surface area of an open cylindrical pipe is = πdh

3.142 × 1 × 18 = 56.556

8 0

2 years ago

Is y2=x-1 a function i will give brainliest

adelina 88 [10]

I don’t think it issss

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2 years ago

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Scilla [17]

144 I believe. You multiply length times width

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3 years ago

Can anyone help me with part b? I will mark you as brainliest!

Kruka [31]

Answer:

There are 75 total cubes in the box.

Step-by-step explanation:

If 0.4 is 30, then divide 30 by 4 and then multiply that by 3, because that would be the answer for red or yellow, then just multiply 22.5 x 2 to find both red and yellow. Finally, add 30 and 45 for your answer.

8 0

3 years ago