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4 years ago

Explain why the square root of -64 is undefined but the cubed root of -64 is defined in the real number system

1 answer:

5 0

Because there is no number that could be multiplied BY ITSELF and still be negative:
-2 x -2 = 4
2 x 2 = 4
But, cubed root works because a negative can be three times and still be negative:
-4 x -4 x -4 = -64
Hope this helps!

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Write an equation of the line through (6,-5) having slope 0. Give the answer in standard form.

allsm [11]

0x + 1y = -5 is the standard form of equation

Solution:

Given that we have to write the equation of line passing thorugh (6, -5) and has slope 0

The equation of line in slope intercept form is given as:

y = mx + c ---------- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that, m = 0

Given point is (6, -5)

To find the y - intercept:

Substitute (x, y) = (6, -5) and m = 0 in eqn 1

-5 = 0(6) + c

c = -5

Substitute c = -5 and m = 0 in eqn 1

y = 0x + (-5)

y = -5

The standard form of equation is given as:

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

y = -5

0x + 1y = -5 is the standard form of equation

8 0

3 years ago

Which of these choices represent a exponential pattern select all that apply.

Agata [3.3K]

The correct answer for the question that is being presented above is this one: "A. Division of skin cells every half hour; B. Small graph of y=x squared; C. y= 4 times 3 raised to x; D. y=2x raised to the 3." These choices represent an exponential pattern.

7 0

3 years ago

A ratio of 14:40 =13;?

AVprozaik [17]

Answer:

9.75

Step-by-step explanation:

5 0

3 years ago

Solve for z. 8z − 4 = 7z

aleksandr82 [10.1K]

8z − 4 = 7z

move 8z to the other side

sign changes from +8z to -8z

8z-8z-4=7z-8z

-4= 7z-8z

-4= -z

mutiply both sides by -1 to get +z

(-4)(-1)= (-z)(-1)

Answer:

z= 4

5 0

3 years ago

Read 2 more answers

2) 2(8r + 5) = 24 + 9r

Anna35 [415]

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

4 0

3 years ago