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3 years ago

The volume of this cube is 64 cubic units. What's the edge length?

1 answer:

8 0

Volume of a cube = side^3

64 = s^3

So what number when multiplied by itself 3 times gives us 64?

4 !

So the side length is 4

$\boxed{\bf{4 ~units}}$

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Determine the value of c so that f(x) is continuous on the entire real line when

mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

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Multiply both sides by minus.

-(-c) = -4

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Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0

3 years ago

With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends

Setler79 [48]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Steps of construction:

Step I - Draw a line segment AB = 7 cm with the help ruler.

Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB.

Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively.

Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.

(For Diagram please find in attachment)

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