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2 years ago

The volume of a cube is 27 cubic inches. What is the length of one edge of the cube?

Mathematics

2 answers:

dexar [7]2 years ago

8 0

Answer:

Step-by-step explanation:

27/3/3 give you your answer

Dvinal [7]2 years ago

5 0

The answer is 3, check your work by either cubing 3 or dividing 27/3/3

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A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line.

Annette [7]

Answer:

$\boxed {\boxed {\sf y=8x-14}}$

Step-by-step explanation:

We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,

m= 8
x₁= 1
y₁= -6

Substitute these values into the formula.

$y- (-6) = 8(x-1)$

Remember that 2 back to back subtraction signs are the same as an addition sign.

$y+6=8(x-1)$

The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.

$y+6 = (8*x) + (8*-1)$

$y+6= (8x)+ (-8)$

$y+6=8x-8$

6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.

$y+6-6=8x-8-6$

$y=8x-8-6$

$y= 8x-14$

The equation of the line in slope-intercept form is y=8x-14. The slope is 8 and the y-intercept is -14.

7 0

2 years ago

Read 2 more answers

Number of Tickets, X 2 5 10 13 Cost, y $8.50 $21.25 $42.50 $55.25

brilliants [131]

Answer:

4.25

Step-by-step explanation:

Take your cost and divide it by the number of tickets.

55.25/13 = 4.25

21.25/5 = 4.25

No matter which pair you use, the answer is 4.25

4 0

3 years ago

What is 11.6 as a fraction

tester [92]

Answer:116/1000

Step-by-step explanation:

4 0

2 years ago

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What is 17/18 minus 2/3

Bumek [7]

the answer would be 0.27777777777

7 0

3 years ago

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The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. H

Lina20 [59]

The arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

Explanation

The given formula is: $s=V_{0}t-16t^2$

If the initial velocity is 96 ft/s , that means $V_{0}=96$

For finding the time the arrow takes to reach a height of 48 ft, we will plug $s= 48$ into the above formula. So......

$48=96t-16t^2\\ \\ 16t^2-96t+48=0\\ \\ 16(t^2-6t+3)=0\\ \\ t^2-6t+3=0\\ \\ t^2-6t =-3\\ \\ t^2-6t+9=-3+9\\ \\ (t-3)^2 = 6\\ \\ t-3= \pm \sqrt{6} \\ \\ t=3\pm \sqrt{6}\\ \\ t = 5.45 , 0.55$

So, the arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

7 0

3 years ago

Read 2 more answers