which choice is equivalent to the the expression
square root of -64

Answers

Answer 1

The equivalent expression of square root of -64 is 8i

How to determine the equivalent expression?

We have:

square root of -64

Rewrite as:

√-64

Expand

√64 * √-1

Take the square root of 64

8√-1

In complex numbers

√-1  = i

So, we have:

8i

Hence, the equivalent expression of square root of -64 is 8i

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Related Questions

please help asappp!!!

Answers

Answer:

0

y = 2

Step-by-step explanation:

Since it's a flat line, the slope is 0.

Since all of the points have a y-value of 2, the equation is y = 2.

Answer:

Slope = 0

Equation: y = 2

Step-by-step explanation:

PQ is parallel  to x-axis. Slope of the line parallel to x-axis = 0.

Slope of diagonal PQ = 0

Equation of line parallel to x-axis : y = a

Equation of diagonal PQ: y = 2  or y -2 = 0

What’s the value of y?

Answers

Answer:

50°

Step-by-step explanation:

because there opposite to each other.

It’s 50 cuz when two parallel lines are cut by a transversal line, then the opposite angles are congruent

Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1

Answers

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

9x=-99x=−9

Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

Mark me as brainliest plsss

can someone please help meee

Answers

Answer:

-10

Step-by-step explanation:

y2- y1 -7 -3

---------- ----------

x2 - x1 -6 6

I’m really stuck please can someone help

Answers

Answer:

Least, Median and Greatest height of boys are all higher then Least, Median and Greatest of girls height

Step-by-step explanation:

Least height of boys: 158cm > 150cm Least height of girls

Median height of boys: 168cm > 165cm Median height of girls

Greatest height of boys: 182cm > 170cm Greatest height of girls

Terrence is going on vacation and taking his dog Pickles along. Pickles eats 3 cups of Hungry Hound dog food each day. Terrence wants to know how many days he can feed Pickles from a 15-cup bag of Hungry Hound.

Answers

Answer:

Number of Days he can feed Pickles from a 15-cup bag of Hungry Hound  =  5 Days

Step-by-step explanation:

this is question based on simple algebraic equations

Simple Algebraic equations -  An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. we can apply many operations on algebraic equations like addition, subtraction, multiplication, division and raising to a power, and extraction of a root.

so in the question algebraic operation used to solve is simple division.

therefore, according to the question -

Total cups of Hungry Hound dog food pickles eats each day are - 3 cups

Total number of cups of Hungry Hound Terrence have = 15 cups

Number of days Terrence can feed pickles from these cups are =    

15/3 =  5 days

so the correct answer is = 5 Days

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What reason allows the following statement to be true?

Given Ð1 & Ð2 are a linear pair, then mÐ1 + mÐ2 = 180

Answers

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two lines cross at a single point, a linear pair of angles is generated. If the angles are next to each other after the two lines intersect, they are considered to be linear pairs. The total of the angles of a linear pair is always 180°. These angles are also referred to as supplementary angles.

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Find the gradient of the line segment joining of
(1, 1) and (3, 5)

Answers

Answer:

2

Step-by-step explanation:

[tex]\text{First I'd recommend using this little equation:}\\\text{m}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the values::}\\\text{m}=\dfrac{5-1}{3-1} \\\text{m}=\dfrac{4}{3}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{The gradient is:: }\dfrac{4}{3}[/tex]

can someone confirm why it's not? im *pretty* sure it's d?​

Answers

Answer:

yes it is I'm sure of it ok.

Solve the inequality W> Y+H /P

Answers

Answer: C

Step-by-step explanation:

Given the following inequality:

[tex]W& > \dfrac{Y + H}{P}[/tex]

Solve for H.

To solve for H we will start by multiplying both sides of the equation by P

[tex]PW& > \dfrac{Y + H}{P}\times P\\[0.3cm] PW& > Y + H\\[0.3cm][/tex]

Next, we will subtract Y from both sides of the inequality

[tex]\boxed{{WP - Y > H}}[/tex]

Therefore, the correct answer is C

. put these numbers in order, from least to greatest. if you get stuck, consider using a number line. 3.5 -1 4.8 -1.5 -0.5 -4.2 0.5 -2.1 -3.5 2. write two numbers that are opposites and each more than 6 units away from 0.

Answers

-4.2, -3.5,-2.1,-1.5,-1,-0.5,0.5,2,3.5,4.8

4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125?
Graph a system of linear inequalities that represents this situation. Using the graph, what are two
possible solutions to the system of inequalities?

Answers

Two possible solutions are: (4.5, 8.5) and (8, 6.3)

How to graph the inequality?

Let x represents hours dog walking and y represents hours washing cars.

So, we have:

Earnings = Rate of dog walk * x + Rate of car wash * y

This gives

Earnings = 7x + 11y

He wants to earn at least $125.

This means that:

7x + 11y ≥ 125

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)

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This circle is centered at the origin, and the length of its radius is 10. What is
the circle's equation?
O A. x² +2²=100
OB. x+y=10
O C. x¹0 + 10 = 100
O D. x² + y² = 10
a
5
10

Answers

Answer:

[tex] {x}^{2} + {y}^{2} = 100[/tex]

The equation of the circle is x² + y² = 100.

Option A is the correct answer.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The circle's equation is:

x² + y² = r²

where r is the length of the radius.

In this case, r = 10, so the equation becomes:

x² + y² = 10²

Simplifying:

x² + y² = 100

Therefore,

The equation of the circle is x² + y² = 100.

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Is -7=7 an infinite solution or no solutions for a system of equations?

Answers

Answer:

no solutions

Step-by-step explanation:

-7 does not equal 7, so there are no solutions.

Infinite solutions would be if it was two equal values, for example, 7 = 7.

Mike has 63 toys. 18 of them are new and 12 are his favorites, while 4 are new and favorites. Mike is giving away all the toys that are neither new nor favorites. How many toys does mike have? ASAp

Answers

Answer:34

Step-by-step explanation:

Giving away all that is not new or fav so 12 fav + 18 new + 4 which are new an favorite = 34

Answer:

22

Step-by-step explanation:

63 is the total

14 are new

8 are fav

14+8=22

simplify the ratio 42:63 ​

Answers

Answer: 2:3

Step-by-step explanation:

common factor of 42 and 63: 21

42/21= 2

63/21= 3

find the common factor to find the ratio!

therefore the ratio is 2:3

Answer: 2:3

When you divide these two numbers 42 and 63 the smallest possible form they can give is two and three.

What is the greatest common factor of 10 and 3? i dont get this i have a math touter that wont really help and i still dont understand. by the way i was not using brainly touter.
if u have the time to help please answer

Answers

Answer:

1

Step-by-step explanation:

listing the factors of both numbers

factors of 10 are 1, 2, ,5, 10

factors of 3 are 1, 3

the only common factor to both is 1

the greatest common factor is 1

need help asap! Fill in the blank by entering just a number…

Answers

Answer:

x = 6

Step-by-step explanation:

CT is a median, which means it divided AB into two equal parts so we can write the following equation:

7x + 9 = 5x + 21 transfer like terms to the same side of the equation

7x - 5x = 21 - 9 do the extraction

2x = 12 divide both sides by 2

x = 6

a hyperbola centered at the origin has vertices PLEASE HELP QUICK

Answers

The equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Given, that a hyperbola centred at the origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0)

What is hyperbola?

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

The formula for a hyperbola centred at the origin is [tex]\frac{x^2}{a^2} -\frac{y^2}{b^2 } =1[/tex]

The vertices are located at (±a, 0), so we have that the value of a is [tex]\sqrt{61}[/tex].

The foci are located at (±c, 0), where [tex]c^2 = a^2 + b^2[/tex].

So if we have that [tex]c = \sqrt{98}[/tex], we can find the value of b:

[tex]98 = 61 + b^2[/tex]

⇒ [tex]b^2 = 37[/tex]

⇒ [tex]b = \sqrt{37}[/tex]

So, the formula for this hyperbola is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Therefore, the equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

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What is the slope of the line that passes through the points (8,-8) and (5,-1)?

Answers

Hey there!

Answer :

[tex] \sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}} [/tex]

[tex] \\ [/tex]

Explanation :

We are given the points [tex] \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} [/tex] . To find the slope [tex] \sf{\purple{m}} [/tex] of such a line, we use the slope formula which is the following:

[tex] \sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}} [/tex]

[tex] \\ [/tex]

⇢Now, by plugging in our values, we get :

[tex] \sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}[/tex]

Therefore, the slope of the line is [tex] \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}} [/tex]

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What is the slope of a linear function that goes through (8,-8) and (5,-1)?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].

We utilise that formula because we have two points as our given information.

So, we

put in the values

[tex]\bf{\dfrac{-1-(-8)}{5-8}}[/tex] | subtract on top and bottom

[tex]\bf{\dfrac{-1+8}{-3}}[/tex] | simplify

[tex]\bf{\dfrac{7}{-3}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                [tex]\bf{=Slope=-\dfrac{7}{3}}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta l}}[/tex]

If students sit 3 per bench, we are short 3 benches. If they sit 5 per bench,
2 benches are left empty, and one bench only has 4 students. How many
benches are there?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. There are a total of 10 benches in the class.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the total number of benches be represented by x. If students sit 3 per bench, we are short 3 benches. Therefore, the total number of students can be written as,

Total number of students = 3x + 9

If they sit 5 per bench, 2 benches are left empty, and one bench only has 4 students.

Total number of students = 5(x-1) - 10 +4

Now, the total number of students can be written as,

3x + 9 = 5(x-1) - 10 +4

3x + 9 = 5x - 11

20 = 2x

x = 10

Hence, there are a total of 10 benches in the class.

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Seven times the twice of a number and 6 equals 4

Answers

Answer:

7(2a+6) = 4

and the answer is:

19/7

Step-by-step explanation:

7(2a+6) = 4

7*2a + 7*6 = 4

14a + 42 = 4

14a = 4 - 42

14a = -38

a = -38/14

a = -19/7

What is the domain of the function y=√x?

Answers

Answer:

[0, ∞)

(all real numbers greater than or equal to 0)

Explanation:

the domain of a function is all possible x-values (and the range is all possible y-values)

We know that you cannot have a negative square root, so all negative x-values are not possible--only values 0 to infinity.

So the domain of this function is [0, ∞).

{ [brackets] in math mean the number is included, (parentheses) in math means the number is not included.}

All [real] numbers ≥ 0

is the domain of y=√x

(written as: all real numbers greater than or equal to 0)

2. Which of the following is true for the relation f(x) = x² + 8


only the equation is the function Only the in inverse is a function Neither the equation nor it’s inverse is a function Both the equation and it’s inverse are function

Answers

Answer:

Only the equation is the function


a city's monthly precipitation amounts, in inches, for the last two years are recorded in the table. which histogram corresponds to the table?

Answers

Based on the given histograms, and the table on the city's monthly precipitation amounts, the histogram that corresponds to the table is Histogram 1.

Which histogram is the appropriate fit?

The number of months with 0 - 1.992 inches is 8 months which means that the first bar on the histogram of between 0 to 2 inches should reach the 8 month mark.

6 months had 1.992 - 3.994 inches so the next bar should stop at the 6th month mark. The next bar should stop at the 4 month mark.

The one after that should stop at the 5 month mark. The last bar would stop at the 1 month mark.

The only histogram that has this is histogram 1 which is not shown clearly but it likely the only one with these qualities as the others don't have it.

Rest of the question:

Amount (inches) 0 - 1.992 - 3.99 4 -5.996 - 7.998 - 9.99

Number of Months 8           6          4          5            1

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Prove the triangles a re similar

Answers

Step-by-step explanation:

LINE B.I is parallel to LINE O.D

therefore :Ô = Î ( alternate angles )

: Ď = B ( alternate angles )

In ️ B. I. G and ️ D O G

O = I ( alternate angles)D = B ( alternate angles)G = G ( 3rd angle of️ )

️ BIG is similar to ️ DOG

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. a solid right pyramid with a square base has a base edge measuring 6 inches. which is the slant height of the pyramid if helen uses all the clay?

Answers

The slant height of the pyramid will be 5 inches.

Given Information and Formula Used

Volume of the clay = 48 cubic inches

Edge of the square base of the pyramid, a= 6 inches

Volume of the pyramid = (1/3) × Base Area × Height

Pythagoras Theorem, l² = x² + h²

Here, l is the hypotenuse, x is the base and [tex]h[/tex] is the height in a right angle triangle.

Calculating the Height, h of the Pyramid

Volume of the pyramid = Volume of the clay

Volume of the pyramid, V= 48 cubic inches

Base Area of the pyramid, B = a²

⇒ B = 6² square inches

⇒ B = 36 square inches

∵ V = (1/3)×B×H

[tex]\frac{1}{3}*36*h = 48[/tex]

∴ [tex]h = \frac{48*3}{36}[/tex]

⇒ h = 4 inches

Calculating the Slant Height, l of the Pyramid

Applying Pythagoras Theorem to determine the slant height,

l² = x² + h²

Here, we have x=a/2

[tex]l^{2} = \frac{a^{2} }{4} + b^{2}[/tex]      

[tex]l^{2} = \frac{6^{2} }{4} + 4^{2}[/tex]

[tex]l = \sqrt{9+16}[/tex]

[tex]l=\sqrt{25}[/tex]

l =5 inches

Thus, the slant height of the solid right pyramid with a square base made by Helen is 5 inches.

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What are the slope and the y-intercept of the linear function that is represented by the graph?
The slope is Two-thirds, and the y-intercept is –2.
The slope is Two-thirds, and the y-intercept is 3.
The slope is Three-halves, and the y-intercept is –2.
The slope is Three-halves, and the y-intercept is 3.

Answers

The slope and the y-intercept of the linear function represented by the graph is given as follows:

The slope is two-thirds, and the y-intercept is –2.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Looking at the graph, when x = 0, y = -2, hence the y-intercept is of -2. The slope is given by change in y divided by change in x, hence considering that the graph also goes through (3,0), it is given by:

[tex]m = \frac{0 - (-2)}{3 - 0} = \frac{2}{3}[/tex]

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There are x boys in a class. If the
number of girls are 3x + 1, how many
boys and girls are in the class
altogether.

Answers

Answer:

4x+1

Step-by-step explanation:

3x+x+1=4x+1

What value of x is in the solution set of 3(x – 4) ≥ 5x 2? –10–5510

Answers

3(x-4) ≥ 5x +2

3*x - 3*4 ≥ 5x +2

3x - 12≥ 5x - 2

-12 + 2 ≥ 5x- 3x

-10 ≥ 2x

2x ≤ -10

x ≤ -5

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