A line segment is drawn between the points (5,8) and (-1,6). What are the coordinates of the midpoint of the segment?

Answers

Answer 1

The formula of a midpoint between two points:

[tex]M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have (5, 8) and (-1, 6).

Substitute:

[tex]\dfrac{5+(-1)}{2}=\dfrac{4}{2}=2\\\\\dfrac{8+6}{2}=\dfrac{14}{2}=7[/tex]

Answer: The coordinates of the midpoint of the segment are (2, 7).


Related Questions

you are charged $16.05 after tax for a meal. Assume sales tax is 7%, what was the menu price for the meal?

Answers

[tex]1.07x=16.05[/tex]

[tex]16.05/1.07=15[/tex]

[tex]15=x[/tex]

The menu price for the meal is $15.

A model car travels 20 meters in 15 seconds. How many meters will it travel in 45 seconds?

Answers

The model car will travel 60 meters in 45 seconds


it will travel 60 meters

antonio graphs these questions and finds that the lines intersect at a single point (-5,0.25)

Which statement is tru about the values x=-5 and y=0.25?

Serious answers please!

Answers

Given equations : Equation A:  4y -3x =16 and

Equation B: -x-8y =3.

We are given a point (-5,0.25) plugging it in first equation

4(0.25) -3(-5) =16

1+15 =16.

16 =16 : Satisfies first equation.

We are given a point (-5,0.25) plugging it in second equation.

-(-5)-8(0.25) =3.

5 - 2 = 3.

3=3.

Therefore, they are the only values that make both eqautions true.

What is equal to 6 - -5

Answers

Two negatives equal a positive. So,
6-(-5) will equal to
6+5=11

Line WY is dilated to create line W'Y' using point Q as the center of dilation. What is the scale factor? Given that QY' = 4.125, what is QY?

Answers

Answer:

1.2.75

2.1.5

Step-by-step explanation:

I just did it

Final answer:

The scale factor is determined by the ratio of the lengths of corresponding sides of two similar figures. To find QY, divide QY' by the scale factor.

Explanation:

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. In this case, line WY and line W'Y' are similar figures, and the scale factor is determined by the ratio of their lengths. The scale factor can be calculated by dividing the length of W'Y' by the length of WY. Given that QY' = 4.125, the scale factor can be determined by dividing QY' by QY. So, the scale factor is 4.125/QY. To solve for QY, divide QY' by the scale factor: QY = QY'/scale factor. Therefore, QY = 4.125/(4.125/QY) = (4.125*QY)/4.125 = QY.

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Rafael has been given a list of 4 bands and asked to place a vote . His vote must have the names of his favorite, second favorite and third favorite bands from the list. How many different votes are possible

Answers

There will be twelve votes possible because 3*4=12

there are 24 combinations
[tex]4p3[/tex]
4 permutation ( because in this scenario order matters ) 3 meaning that there are 4 choices and you can pick 3 In any order

How can you find the area of diameter

Answers

HEY THERE !!

As we know that the area of a circle (A)= πr^2

But if we know the diameter then the area is (A)= π/4× D^2 { here D is for diameter}

Here diameter is 10.5 inches.

A => π/4 × (10.5)^2
A => π/4 × 110.25
A => π/4 × 27.5625
A => 86.54625 { because the value of π = 3.14}

So the area of the cirsle whose diameter is 10.5 inches is 86.54625 inches square.

HOPE IT HELPED YOU.

I do t get number 4

Answers

4.2 feet = 50.4 inches

divide the total height by the height of each sheet: 50.4/0.6 = 84

it's 84 sheets of plywood.

The low temperature for 5 days was -5 degrees, -7 degrees, -2 degrees, 2 degrees, and - 3 degrees. What was the average temperature for those days

Answers

the average low is -15 is that what you meant?

The midpoint of AB is (3,7). The coordinate of one endpoint is A(5,1). Find the coordinate of endpoint B. Show or explain work.

Answers

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]M(3,\ 7)\to x_M=3,\ y_M=7\\\\A(5,\ 1)\to x_A=3,\ y_A=7[/tex]

Substitute:

[tex]\dfrac{5+x_B}{2}=3\qquad|\cdot2\\\\5+x_B=6\qquad|-5\\\\x_B=1\\\\\dfrac{1+y_B}{2}=7\qquad|\cdot2\\\\1+y_B=14\qquad|-1\\\\y_B=13[/tex]

Answer: B(1, 13)
We have a line AB with point P
A(5,1) which becomes (x1,y1)
P(3,7) which becomes (x,y)
B(x,y) which becomes (x2,y2)

Since it is a midpoint, we can use the midpoint formula directly.

x = (x1+x2)/2

3 = (5+x)/2
x=1
Thus our x coordinate is 1

y = (y1+y2)/2

7 = (1+y)/2
y=13
Thus our y coordinate is 13

Our answer is B(1,13)

A package weighs 2.6 pounds how much do 8 of the same sized packages weigh

Answers

you would multiply 2.6 x 8 and that equals 20.8

8 packages weigh 20.8 pounds.

Explanation: It's simple. 2.6 x 8 = 20.8

Point A has coordinate A(3, 2). The point is rotated 180° clockwise around the origin. Find the coordinates of point A’. A’(2, 3) A’(–3, –2) A’(–2, –3) A’(–2, 3)

Answers

Answer:

A' (-3,-2)

Step-by-step explanation:

When rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. To rotate a figure 180 degrees, you apply the rule (x, y) → (-x, -y). Start by using a coordinate grid with coordinates for each vertex of the figure. The center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. Write down the original coordinates of the shape you are going to rotate. Then, apply the rule. For example, coordinate (3, 2) becomes (-3, -2). Another example would be, coordinate (-4, -2) becoming (4, 2).

(-3,-2) this is your answer


HELP PLEASE!!!!!!!! I GIVE 21 POINTS!!!!!!!!! AND BRAINLEAST <3

Answers

6. domain=age

range= number of pets

it is not a function because an x value repeats


7. domain=1,2,3,4,5

range= 50, 100, 150, 150, 200

it is a function because the lines don't connect

Simplify the expression. |-5-8|

Answers

[tex]|-5-8|=|-13|=13[/tex]

the answer for this question  is 13

You play a game where you score -6 points on the first turn and on each of the next 3 turns what is your score after those 4 turns

Answers

-24 if you score -6 each round


What is the volume of a 14 in diameter pipe that’s 2156 long?

Answers

Answer:


Step-by-step explanation:

given that diameter of the pipe = 14 inches

radius = 7 inches

Length =2156 inches

Pipe is in the form of a cylinder

Volume of cylinder = pi r^2 h

where r = radius and h = l = 2156

We have to substitute the values of r and h.

Let us take pi as 22/7

= 22/7 (7)(7)(2156)

Cancel out 7 and multiply the remaining 22 ,7 and 2156

=332024 cubic inches

is -5^2 equal to (-5)^2?

A. Yes, because they both equal -25

B. Yes, because they both equal -10

C. Yes, because they both equal 25

D. No, because -5^2 equals -25 and (-5)^2 equals 25

Answers

The correct answer is:

D. No, because [tex]\(-5^2\)[/tex] equals -25 and [tex]\((-5)^2\)[/tex] equals 25.

To evaluate the expression [tex]\( -5^2 \)[/tex] and [tex]\( (-5)^2 \)[/tex], we need to understand the order of operations.

According to the order of operations (PEMDAS/BODMAS), exponentiation takes precedence over negation.

So, [tex]\( -5^2 \)[/tex] means [tex]\( -(5^2) \)[/tex], which equals -25.

On the other hand, [tex]\( (-5)^2 \)[/tex] means [tex]\( (-5) \times (-5) \)[/tex], which equals 25.

Therefore, [tex]\( -5^2 \)[/tex] is not equal to [tex]\( (-5)^2 \)[/tex].

The correct answer is option D.

please help me find h(6)

Answers

/(6)+2/+3 h(6) means put a 6 wherever there is a t

To find H(6) for the function H(x) = 5(x - 6), substitute 6 for x, resulting in H(6) = 5(6 - 6) = 5(0) = 0.

The question asks for the evaluation of H(6) when H(x) = 5(x - 6). To find H(6), we simply substitute 6 in place of x in the function and calculate the result.

H(6) = 5(6 - 6)

Calculating the expression within the parentheses:

6 - 6 = 0

Now multiply by 5:

5 times 0 = 0

Therefore, H(6) = 0.

Write w-24 in verbal expression

Answers

"w - 24" said verbally is:

w minus twenty-four

hope this helps

~Rise Above the Ordinary

I believe that the correct answer is The difference of w and 24

Hope this helps!!!

what is 9(m+4)=7m ?? 50 points and brainliest for anyone who can answer im short on time and need this done oof

Answers

The answer you are looking for is M = -18.

To find this answer, you first distribute 9 into the parenthesis (m + 4). Once you've distributed, you should be left with 9m + 36 = 7m. Next, you subtract 9m from both sides. This will give you 36 = -2m. Finally, divide both sides by 2. Thus giving you a final answer of M = -18.

I hope this helps!

Answer:

The answer you are looking for is M = -18.

Step-by-step explanation:

When 1480 is divided into 12equal parts, the remainder is 4. What is a correct way to write the quotient

Answers

1480/12= 123 and 4 remain
[tex]123 \frac{4}{12} [/tex]
=
[tex]123 \frac{1}{3} [/tex]

f(x)=2^x evaluate f(5)

Answers

Hey there!

To solve this, we will first replace x with 5 anytime we see it in the equation.

f(5) = 2^5

Now, we simplify 2^5.

The base is 2 and the exponent is 5 in this case.

The exponent is the number of times you multiply the base by itself. In oour case:

2 x 2 x 2 x 2 x 2 = 32

f(5) = 32

Hope this helps!

I spent 3/4 of my money and then I spent 1/5 of what was left.
What part of all my money do I have left?

Answers

(3/4)+(1/5(1/4)

As my thinking, this is the answer...

please click on the thanks button if this was helpful..

Have a great day!

Answer:

0.8

Step-by-step explanation:

3/4+1/5=0.8 or 8/10

erica takes a cab to meet her grandmother at a musuem. her grandmother wiill giive her a ride hime. she only has$25.05 to spend and a cab cost.$3 plus $0.35 per mile. what are rhe maximum number if miles that Erica may travel before she has to walk the rest of the way to the museum?

Answers

The maximum miles that she can travel 63 miles before she can walk.


Final answer:

By setting up an equation that accounts for the cab's base fare and the additional per mile charge, we can determine that Erica can afford to travel a maximum of 63 miles in the cab before exceeding her budget of $25.05.

Explanation:

To determine the maximum number of miles Erica can travel in a cab without exceeding her budget of $25.05, we can create an equation where the cost of the cab is equal to the base fare plus the per mile charge times the number of miles (mileage). We know the base fare is $3 and the per mile charge is $0.35. Let's denote the number of miles Erica can travel as 'm'.

The cost equation would be: Cost = Base Fare + (Per Mile Charge × Mileage)

This gives us: $25.05 = $3 + ($0.35 × m)

Subtracting the base fare from both sides gives us: $22.05 = $0.35 × m

Dividing by the per mile charge yields: m = $22.05 / $0.35

Calculating this, we get: m = 63 miles

Therefore, Erica can travel a maximum of 63 miles in the cab before she would need to walk the rest of the way to the museum to stay within her budget.

Hello can you help me please?)

Answers

The "vertical line test" tells you the relation is not a function if any vertical line intersects the graph in 2 or more places.

15. not a function

The vertical line x=0 crosses the graph at y=-6 and at y=6.

16. a function

what are the prime numbers in between 30 and 40

Answers

They are 31 37 I think

There are only two, which is 31 and 37. Hope this helped!

A girl skateboards with a kinetic energy of 2543.2 J. If the girl and skateboard have a total mass of 110kg , what is her speed ?

Answers

Answer:

6.8 Miles

Write at least 20 characters to explain it well.

evaluate f(x) when x = -10

Answers

So, when x = -10.


If you notice, -10 is NOT in the domain (the domain is (-3,13))

so, there is no solution.

Answer: -24

Step-by-step explanation:

Step one :

For the first equation

Given that x=-10

F(x) =2x-4 if 3<x<10

x exists in this domain

Substituting x in the equation we have

F(-10)=2(-10)-4

F(-10)= -20-4

F(-10)=-24

Step two :

For the second equation

Given that x=-10

F(x) =x²-+3 if 10<=x<13

x does not exist in this domain

0.86 divide 5 -0.3 multiply 0.5

Answers

the answer is 0.022
0.68÷5-0.3×0.5? or

0.86÷5 and -0.3×0.5
0.172 , -0.15

Answer:

The solution is 0.022.

Step-by-step explanation:

Given that,

[tex]\dfrac{0.86}{5}-0.3\times0.5[/tex]

We need to solve the equation

Using PEMDAS rule

On dividing 0.86 by 5

[tex]0.172-0.3\times0.5[/tex]

On multiply 0.3 from 0.5

[tex]0.172-0.15[/tex]

On subtract 0.15 from 0.172

[tex]0.022[/tex]

Hence, The solution is 0.022.

if prices increase at a monthly rate of 1.4% by what percentage do they increase in a year?

Answers

Prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.

The given monthly rate of 1.4% can be represented as 1.014 in decimal form (1 + 0.014).

To calculate the total increase over a year, we need to compound this monthly rate for 12 months since there are 12 months in a year. We can use the formula for compound interest to find the overall increase:[tex]\[A = P(1 + r)^n\][/tex]

Where:

[tex]\(A\)[/tex] = the final amount after [tex]\(n\)[/tex] periods (in this case, a year),

[tex]\(P\)[/tex] = the initial price (100% or 1 in decimal form, as it's the starting point),

[tex]\(r\)[/tex] = the monthly rate in decimal form (1.4% or 0.014), and

[tex]\(n\)[/tex] = the number of periods (12 months).

Plugging in the values:

[tex]\[A = 1 \times (1 + 0.014)^{12}\][/tex]

[tex]\[A = 1 \times 1.1771\][/tex]

[tex]\[A \approx 1.1771\][/tex]

The final amount [tex](\(A\))[/tex] represents the price increase over the year. To express this as a percentage, we subtract 1 from [tex]\(A\)[/tex] and then multiply by 100:

[tex]\[Price \, Increase \, Percentage = (A - 1) \times 100\][/tex]

[tex]\[Price \, Increase \, Percentage = (1.1771 - 1) \times 100\][/tex]

[tex]\[Price \, Increase \, Percentage \approx 18.17\%\][/tex]

Therefore, prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.

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