If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units

Answers

Answer 1

Answer:

D. 6.71 units

Step-by-step explanation:

In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here, we have (0, 0) and (6, 3), so:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71

The answer is thus D.

Answer 2

Answer:

D 6.71 units

Step-by-step explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71


Related Questions

Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!

Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?

Answers

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

0.00003
2 x 10-5
=
?

Answers

Answer:

[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]

[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

[tex]3[/tex]×[tex]10^{-5}[/tex]

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

[tex]2[/tex]×[tex]10^5[/tex]

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

Will give brainliest answer

Answers

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7

Which of the following statements is not true?

Answers

i think B isn’t true

Please help and explain. Thank you :)

Answers

Answer:

= 6^13

Step-by-step explanation:

6^3 • 6^10

= 6^3 • 6^10

= 6^(3 + 10)

= 6^13

Answer:D

Step-by-step explanation:

A. 6^3 * 6^10 = 6^13

It has the same base so you will make it stay the same and add the exponents.

Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero

Answers

Answer: Option C.

Step-by-step explanation:

A function goes trough the x-axis when f(x) = 0 for some value of x.

For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:

a*x^2 + b*x + c = 0

are complex roots, this means that for the function:

f(x) = y = a*x^2 + b*x + c

there is not a real number x such f(x) = 0

So the correct option is C.

The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

What is x-intercept?

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,

[tex]y=f(x)[/tex]

Here, x is the roots of the function.

For no value of x-intercepts, the function become,

[tex]y=0[/tex]

[tex]f(x)=0[/tex]

Here, the zeros and roots are the same, where function become equal to zero.

Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.

Learn more about the x-intercept here;

https://brainly.com/question/8018800

Find the value of x and y. Will mark brainliest.

Answers

Answer:

y=3, x=5

Step-by-step explanation:

18=6y, so divide both sides by 6 to get 3=y.

45=9x, so divide both sides by 9 to get x=5.

Answer:

x=5 y =3

Step-by-step explanation:

Opposite interrior angles have the same Number of degrees. So 9x=45. X has to be 5. y = 3 because 3 times 6 is 18. Which is the same number as the opposite vertical side.

Each spinner below is spun. Find the probability.







P(A and 2)



A. 4/15

C. 1/15


B. 1/17


D. 9/23

Answers

Answer: the answer is B1/17

Step-by-step explanation:

5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8

Answers

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width 10 inches, and a height of 1 inch. Eryday it's the volume of the laptop?

Answers

Answer: Volume is 140

Step-by-step explanation:

The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21

Answers

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

Answer:

B

Step-by-step explanation:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

Learn more about Unitary Method here:

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Event A: stops on red

Event B: stops on yellow

Find P(A or B)

A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16

Answers

Answer:it is 1/2

Hopefully this helps

Answer:

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

1/2

Help I will mark BRAINLIEST if correct please help

Answers

Answer:

[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]

Step-by-step explanation:

If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]

Factor the polynomial.

216x^3-64

Answers

(6x-4) (36x^2 +24x +16)

A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?


y = x - 1

y = 1.25x

y = 0.8x

y = x + 1

Answers

Hey there!

The answer would be B. y = 1.25x

If each pound is $1.25 and you get 4 pounds then that would equal to $5.00 or y.


Hope this helps !

y = 1.25 x equation shows the  correct relation of x

What is linear graph?

Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.

According to the question,

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = k. x

k is constant of proportion

Four pounds of apples cost $5

5 = 4. k

k = 5/4 = 1.25

As it should be, k is a constant equal to 1.25

y = 1.25 x  for 4 pounds of apples

Hence, y = 1.25 x equation shows the  correct relation of x

To learn more about linear equation from here

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How many triangles exist with the given angle measures?

Answers

Answer:

The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.

I hope that was the answer you were looking for.

Step-by-step explanation:

Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets

Answers

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

Answer:

4 bucket

Step-by-step explanation:

We can either use division or repeated subtraction in this case! Division is easier!

40/10 = 4

4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)

The table and the graph below each show a different relationship between the same two variables, x and y:



How much more would the value of y be on the graph than its value in the table when x = 12?
A. 20
B. 90
C. 150
D. 180

Answers

Answer:

The answer is A.

Step-by-step explanation:

thats what i think

What is the perimeter of this rectangle? Will mark brainliest.

Answers

Answer:It's C, 425 ft.

Step-by-step explanation:

You multiply 17 ft. by 25 ft.

Answer:

84 feet

Step-by-step explanation:

there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet

to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.

therefore 84 feet is your answer.

Plz help plzzzzzzzzz

Answers

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

How many solutions does this system have?
2x+3y=-3
3x+6y=-9
one
two
an infinite number
no solution

Answers

Step-by-step explanation:

I think the answer is one

The question is in the screenshot attached. Thank you!

Answers

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

PLEASE HELP...SOLVE FOR VOLUME

Answers

Answer:

to get volume you have to do this base x height

Step-by-step explanation:

12 x 8 is 96 that the base

next base times height  which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2

Answer:

volume = 12* 19.2*8/2 = 921.6 m3

Step-by-step explanation:

20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2

volume = 12* 19.2*8/2 = 921.6

Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)​

Answers

Answer:

C. (3x^2+4)(x+3)

Step-by-step explanation:

3x^3+9x^2+4x+12

=(3x^3+9x^2)+(4x+12)

=3x^2(x+3)+4(x+3)

=(3x^2+4)(x+3)

Therefore, C. (3x^2+4)(x+3)

The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 3x³ + 9x² + 4x + 12

Now, We can factor the polynomial as;

⇒ 3x³ + 9x² + 4x + 12

⇒ 3x² (x + 3) + 4 (x + 3)

⇒ (x + 3) (3x² + 4)

Thus, The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

Learn more about the mathematical expression visit:

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A bus took 1 hour and 30 minutes. How many minutes is that?

Answers

Answer: 90 mins

Step-by-step explanation:

1hr=60 mins+ 30 mins

Answer:

90 minutes.

Step-by-step explanation:

Conversion ratio of hours to minutes:

1 hour = 60 minutes.

Add the two numbers together:

60 minutes + 30 minutes = 90 minutes.

90 minutes is your answer.

~

HELP PLZZZ
I DONT UNDERSTAND THIS IK IK IM DUMB

Answers

Answer:

radius r = 8 ft

volume V = 2144.66058 ft³

surface area A = 804.247719 ft²

circumference C = 50.2654825 ft

Step-by-step explanation:

Answer:

2 144.7 ft³

Step-by-step explanation:

So the diameter of this sphere is 16ft.

The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.

r is the radius which is half of the diameter. So half of 16 is 8.

Now all you have to do is the equation 4 x π x (8)³ divided by 3.

That should equal 2 144.7 ft³

What is the product of the polynomials below?
(3x^2 - 2x - 3)(5x^2 + 4x + 5)

Answers

Answer:

15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

Answer:

Your answer is

5x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

I just simplified

Help meh................
....





Answers

Answer:

71-45 is 26

Step-by-step explanation:

Answer:

71-45 = 26

Step-by-step explanation:

Are my answers correct?

Answers

Answer:

I would have got the same answers so probably yea

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

According to my understanding I believe you are correct!

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