- Which of the following is the correct distance between the points (-5, 3) and (7,8)?

Answers

Answer 1

Answer:

13 units

Step-by-step explanation:

(x₁,y₁) = (-5 , 3)   & (x₂ , y₂) = (7 ,8)

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]

              [tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]


Related Questions

Simplify 6 - (-2) - 3(-5).

Answers

Answer:

23

Step-by-step explanation:

6 - (-2) - 3(-5).

PEMDAS says multiply first

6 +2 +15

Add

23

Answer:

Answer is 23

Step-by-step explanation:

First open brackets:

[tex] = 6 + 2 + 15[/tex]

summ up:

[tex] = 23[/tex]

The number under the radical sign or square root sign is called the

Answers

Answer:

Radicand

Step-by-step explanation:

The term (or number) whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this case 9.

Solve for x: −3|x + 7| = −12

x = 5 over 3, x = −19 over 3
x = −3, x = −11
x = −3, x = 11
No solution

Answers

Answer:

x=-3 x=-11

Step-by-step explanation:

−3|x + 7| = −12

|x + 7|=4

x+7=4 x+7=-4

x=-3    x=-11

Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches. A. 23.24 in² B. 47.91 in² C. 24.74 in² D. 79.84 in²

Answers

Answer:

C

Step-by-step explanation:

That makes the third side 8 inches. Bc 34 -12 -14 = 8.

There's a formula that gives you the area of a triangle with all three sides.

It's kinda long so I won't write it out but it uses the semi-perimeter and it's called heron's formula if you want to search it up.

I just plugged the values into Heron's formula calculator.

The answer is around 47.906158268014, so C.

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

What is area of triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

Given

Perimeter  = 34

Two sides of the triangle = 12, 14

Third side of the triangle  = Perimeter - 12 - 14

= 34 - 12 - 14

= 8 inches

According to the figure, using Pythagoras theorem

[tex]h^{2}=8^{2} -x^{2}[/tex]

[tex]h^{2}=12^{2} - (14-x)^{2}[/tex]

[tex]8^{2} -x^{2} =12^{2} -(14-x)^{2}[/tex]

[tex]64-x^{2} =144-196+28x-x^{2}[/tex]

[tex]28x=116[/tex]

[tex]x=4.14[/tex]

So, [tex]h^{2} =8^{2} -4.14^{2}[/tex]

[tex]h^{2} =64-17.15[/tex]

[tex]h=6.844[/tex]

So, the area of the triangle  = [tex]\frac{1}{2} \times 14 \times 6.844[/tex]

= [tex]47.91 \ in^{2}[/tex]

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

Find out more information about area of the triangle here

https://brainly.com/question/22964077

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18. Solve the equation for X.

Answers

Answer:

Option a is the correct answer

A is the correct answer

Rotate the vector (0,2) 270 degrees counterclockwise about the origin

Answers

Answer:  (2,0)

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

The coordinates of the vector (0,2) after 270° counterclockwise rotation about the origin is (2,0), as shown below.

What is coordinate?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of the vector (0,2) after 270° counterclockwise rotation about the origin is (2,0), as shown below.

Learn more about Coordinates:

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On which number line do the points represent 7 1/2 and +1?

Answers

Answer:

D

Step-by-step explanation:

last number line.

If (4x-5) :(9x-5) = 3:8 find the value of x.​

Answers

Answer:

x is 5

Step-by-step explanation:

[tex] \frac{4x - 5}{9x - 5} = \frac{3}{8} \\ \\ 8(4x - 5) = 3(9x - 5) \\ 32x - 40 = 27x - 15 \\ 5x = 25 \\ x = \frac{25}{5} \\ \\ x = 5[/tex]

Step-by-step explanation:

as you can see as i solved above. all you need to do was to rationalize the both equations

What is the volume of a solid that is 3 inches wide, 4
inches tall, and 2 inches deep?
24 in.2
24 in.3
26 in.2
26 in. 3

Answers

Answer:

24 in^2

Step-by-step explanation:

3 x 4 x 2 = 24 in^2

Answer:

3×4×2 = 24 in^3

Although it depends on the shape

– 7 (2W - 5)
Simplify by using the distributive property and then combine like terms PLEASE

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-7(2w - 5)}[/tex]

[tex]\huge\text{= -7(2w) - 7(-5)}[/tex]

[tex]\huge\text{= -14w + 35}[/tex]

[tex]\huge\text{You do not have any like terms in this equation}[/tex]

[tex]\huge\boxed{\textsf{Answer: -14w + 35}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

A job can be done by 30 men in 15 days. How long would it take 10 men to do the same job?​

Answers

Answer:

45 days

Step-by-step explanation:

Based on the giving information, 30*15/10.

Reduce the fraction by canceling the greatest common factor: 3*15 = 45

Kurt simplifies this equation and says the
solution is x = 7. What can you tell Kurt
about his work?
3(x-7)=2x - 14
3x - 7 = 2x - 14
x=-7

Answers

He made an error on the second line. Kurt didn't distribute the 3 to each term inside the parenthesis of (x-7)

3(x-7) does not turn into 3x-7. Instead, it should be 3x-21 because 3*7 = 21.

This is what his steps should look like

3(x-7) = 2x - 14

3x - 21 = 2x - 14

3x-2x = -14+21

x = 7

Please help this is due at 11:59 and im really stuck.

Answers

has form - last two
can be put in form - none
other - first four

9514 1404 393

Answer:

  B B C C A A

Step-by-step explanation:

If we number the equations 1 to 6 left to right, then we have ...

B - can be put (y = 2x)B - can be put (y = (1/9)x)C - other, not a proportional relationshipC - other, y = 5/x, an inversely proportional relationshipA - has the form, k = 0.04A - has the form, k = -11

Pls help need this done hurry

Answers

Answer:

Shade 23 boxes

Step-by-step explanation:

This is the first two rows fully (all 10 boxes) and then three more from the third row.

xxxxxxxxxx

xxxxxxxxxx

xxx . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

who was the first EUROPEAN country that came to Ghana ​

Answers

Answer:

the Portuguese

The History of The Republic of Ghana

The earliest Europeans to set foot on the land were the Portuguese in the 15th century (1471). On their arrival, they found so much gold between the rivers Ankobra and the Volta that they named the area “da Mina”, meaning “The Mine”.

Step-by-step explanation:

This was all I could really find :( Hope this helps! <3

I think it was Portugal

There is 2 questions here please help me! Thank you!

Answers

Answer:

3×(-4)×2

= -24

good day god bless you

Answer:

(−25)(5) = −125; he withdrew $125

-24

Step-by-step explanation:

Because he is withdrawing money, he is deducing money form his account, which makes the $25 negative in the equation. The weeks however, cannot be negative. so the correct answer is (−25)(5) = −125; he withdrew $125.

(3) x (-4) x (2)

(3 x -4) x (2)

(-12) x (2)

(-12 x 2)

-24

hope this helps! if you have any questions, let me know!

When a sample has an even number of observations, the median is the

Group of answer choices

observation in the center of the data array

average of the two observations in the center of the data array

value of the most frequent observation

Answers

Answer:

average of the two observations in the center of the data array

Step-by-step explanation:

When there is an odd number, we use the middle

Example

1,5,9

The median is 5

When there is an even number

1,3,5,7

The middle is between the 3 and 5 so we average the middle number

(3+5)/2 = 4

Answer:

the answer is => observation in the center of the data array

Step-by-step explanation:

[tex]\sf{}[/tex]

Will give brainliest answer

Answers

It is A) Tamara’s work is correct

When graphed you can see that the function is even

If f(x)=3x^2-x+6, evaluate f(-4)

Answers

Answer:

f(-4) = 58

Step-by-step explanation:

Let x = -4:

[tex]f(-4)=3(-4)^2-(-4)+6\\\\f(-4)=3(16)+4+6\\\\f(-4)=48+4+6\\\\f(-4)=58[/tex]

List the stem numbers below!!

Answers

Answer:

see below

Step-by-step explanation:

The stems are in the middle and the leaves are on the left and right

Stems are 0,1,2,3,4,5

Solve -5/2 +3/4÷1/6 using the order of operations left to right.

Answers

Answer: -21/2

Concept:

Usually, when doing mathematics operation, it goes by the PEMDAS order:

ParenthesisExponentMultiplicationDivisionAdditionSubtraction

However, since the question asks to solve the order of operation from left to right, then we would be doing [addition] --> [Divison]

Solve:

Given

(-5/2) + 3/4 ÷ 1/6

Operate with addition

=(-10/4) + 3/4 ÷ 1/6

=(-7/4) ÷ 1/6

Operate with division

=(-7/4) × 6/1

=-42 / 4

=-21 / 2

Hope this helps!! :)

Please let me know if you have any questions

Adeyemi who is 15 years old is 3 years older than his younger brother Ojo . If Okonkwo the eldest brother is 21 years old . What is the average of the three brothers.

Answers

16. (15+12+21)/3 is 16, meaning that 16 is the average among the three brothers

Given the central angle, name the arc formed.
Major arc for ∠EQD

A. EQDˆ
B. GDFˆ
C. EGDˆ
D. EDˆ

Answers

9514 1404 393

Answer:

  C. EGD

Step-by-step explanation:

A major arc is typically named using the end points and a point on the arc. Here, the end points are E and D, and points on the major arc include C, G, and F. The major arc ED could be named any of

arc ECDarc EGD . . . . choice Carc EFD

Of course, the reverse of any of these names could also be used: DCE, DGE, DFE.

Which equation has infinitely many solutions?

A. -5(x + 2) = -4x − 12 − x + 2


B. 3x − 4 + 2x = 5(x − 4)


C. 5(x + 7) = -5(x − 7)


D. 6x + 2 − x = -2x − 2 + 7x

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

We can eliminate parentheses, collect terms, and subtract the right-side expression from both sides to put these equations in general form. Then it is very easy to tell how many solutions there are .

A. -5x -10 = -5x -10

  0 = 0 . . . . . true for all values of x; infinite solutions

B. 5x -4 = 5x -20

  16 = 0 . . . . . not true for any value of x; no solutions

C. 5x +35 = -5x +35

  10x = 0 . . . . . true for x=0; one solution

D. 5x +2 = 5x -2

  4 = 0 . . . . . not true for any value of x; no solutions

POUILO 11. For a bivariate frequency table having (p + q) classification the total number of cells is
(a) p (b) p +q (c) q (d) pq​

Answers

Answer:

g

Step-by-step explanation:

f

1-5. Graph MU (line MU) for M(-1, 1). (Look at the bottom of the pic)

Answers

a) The slope of the line MU is [tex]\frac{4}{5}[/tex]

b) The distance between the coordinates of the line MU is √41

c) There are differences and similarities between (a) and (b).

The slope of a line is used to describe how steep the line is. This is expressed mathematically as;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where:

(x1, y1) and (x2, y2 are the coordinate points)

From the graph shown, we are given the coordinates M(-1, 1) and U(4, 5)

a) The slope of the line MU will be expressed as;

[tex]m=\frac{5-1}{4-(-1)}\\m=\frac{4}{5}[/tex]

The slope of the line MU is [tex]\frac{4}{5}[/tex]

The formula for calculating the equation of a line is expressed as y = mx + b

b is the y-intercept.

Substitute m = 4/5 and (-1, 1) into the expression y = mx + b

[tex]1 = -(4/5) + b\\1 = -4/5 + b\\b = 1 +4/5\\b = \frac{5+4}{5} \\b = \frac{9}{5}[/tex]

Get the required equation.

Substitute m = 4/5 and b = 9/5 into y = mx + b

[tex]y=\frac{4}{5}x+\frac{9}{5}\\5y=4x+9\\5y-4x=9[/tex]

The required equation of the line is 5y - 4x = 9

b) The formula for calculating the distance between two points is expressed as;

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

Substitute the given coordinates in (a) to get the distance MU

[tex]MU=\sqrt{(4-(-1))^2+(5-1)^2}\\MU=\sqrt{(4+1)^2+(5-1)^2}\\MU=\sqrt{(5)^2+(4)^2}\\MU=\sqrt{25+16}\\MU=\sqrt{41}[/tex]

Hence the distance MU is √41

c) There are similarities and differences in the calculations in (a) and (b). The similarities lie in the usage of the change in the coordinates for the calculation of the slope and the distance.

The difference is that we do not need the slope of the line to calculate the distance MU but the slope y-intercept is required to calculate the equation of the line.

Learn more about lines here: https://brainly.com/question/12441680 and https://brainly.com/question/15978054

plz help me plz
(2.5a^ + 5.2b^) (6.2a^ + 2.6b^)​

Answers

Answer:

Sorry my HANDWRITING is not good . :(

f(10)
calculate the indicated function value

Answers

It is 20 my guy ……………….

Which of the following is the function for the graph below and shows the end behavior of the function as x>-00?

Answers

Answer:

A

Step-by-step explanation:

I just used a graphing calculator.

Just type in all the functions and pick the graph and function pair that match the picture.

I hope this helps!

pls ❤ and mark brainliest pls!

Assuming you want x to approach negative infinity, you have the correct answer. It is choice A.

=====================================================

Explanation:

The root x = -2 leads to the factor x+2. That means the answer is between A and B.

As x approaches negative infinity, i.e. as we move to the left, we're going down the red curve and y = f(x) is going to approach negative infinity as well.

In terms of symbols, we'd write [tex]x \to -\infty, \ f(x) \to -\infty[/tex]

Informally, we could say "it falls to the left" as a way to describe this left end behavior.

Divide 9x4 - 6x2 + 3x2 by 3x2 -1.

Answers

Answer:

3x^2 is the final solution

See the image below for step by step explanation.

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