One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other endpoint?
A. (2, 10)
B. (−10, 1)
C. (3, 11)
D. (−10, 18)

Answers

Answer 1

Answer:

A. (2, 10)

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on a coordinates plane then

coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2

__________________________________________________

Given

one endpoint is (–6, 4) and midpoint is (–2, 7)

let coordinates of other endpoint be (x,y)

now if one endpoint is (–6, 4) and other endpoint is (x,y)

then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)

while the coordinates of midpoint given  is  (–2, 7)

thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)

-2 = (-6+x)/2             and   7 = (4+y)/2

=> -2*2 = -6+x                 => 7*2 = 4+y

=> -4 = -6+x                    => 14 = 4+y

=> -4+6 = x                     => 14-4 = y

=> x = 2                           => 10 = y

Thus, coordinates of the other endpoint is(2,10)


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Answer:

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Step-by-step explanation:

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For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)

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Answer:

3 units to the right

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift of a units to the left

• If a < 0 then a shift of a units to the right

Thus

g(x) = (x - 3)² is f(x) shifted to the right by 3 units

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Answer:

24

Step-by-step explanation:

1 US Gallon = 8 US Pints

3 US Gallons = 24 US Pints

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Answer:

The answer is 27 If not please correct me!

Answer:

27

Step-by-step explanation:

You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.

Hope this help.

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Answer: J and K

Step-by-step explanation:

[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]

Answer:

J and K

Step-by-step explanation:

√20=4.47

4.47 is almost in between J and K in the number line.

Hence, it's J and K.

What is the measure of ∠4?

Answers

I am pretty sure that four would equal 59 degrees because 60+61 equals 121 degrees and that line should in total equal 180. So you would do 180-121 which gives you 59.

|5−4r|=17
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Answers

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

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Answer:

100

Step-by-step explanation:

A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?

Answers

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
I got an answer that felt way off... I just need to make sure I'm right!

Answers

Answer:

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Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

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Answers

Answer:

8 and 9

Step-by-step explanation:

8 comes after 9 and 8 + 9 = 17

8 and 9 would be the answer

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Answer:

the screen shoy isnt showing up

Step-by-step explanation:

Please Answer ASAP!

Subtracting a number is the same as adding its opposite. Use this understanding to complete each of the equations below.

Enter numbers to evaluate ‐13−23.

‐13−23= ‐13 + ___

= ___

Enter numbers to evaluate ‐13−(‐23).

‐13−(‐23)= ‐13 + ____

= _____

Answers

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

= 10

Answer:

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

=10

Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint

Answers

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average speed for the entire trip?

NEED IN 5 MINUTES

Answers

Answer:

Average speed is (total distance)/(total time).

To find the total time we need to do some division.

Time for 200 miles=200/50=4 hours.

Time for 100=100/40=5/2 hours.

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Find the missing angle.

Answers

Answer:

127

Step-by-step explanation:

Answer:

x= 127 degrees

Step-by-step explanation:

use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.

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Answers

Answer:

G equilateral

Step-by-step explanation:

scalene = all the sides of the triangle are not equal

isosceles = two sides of the triangle is equal

Answer should be equilateral = All the sides of the triangle is equal.

F H J are not describing any triangle.

Answer:G equilateral

Step-by-step explanation:

^///^

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Answers

Answer:

No, the probability of choosing a red marble is not the complement of choosing a blue marble.

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There are other marbles besides red ones and blue ones.

Step-by-step explanation:

i got it right.

Answer:

The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

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Answer:

RSQA ~ ZXYA

Step-by-step explanation:

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Answers

Answer:

The description that best compares the graph of the two function is:

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Step-by-step explanation:

Answer:

The line for function a is a steeper

Step-by-step explanation:

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ft.

Answers

I hope this helps you

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Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

A functiom is graphed on the coordinate plane.

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Answers

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Answer:

I thought it was 1

Step-by-step explanation:

Which graph represents the function f(x) =1/3 |x|?

Answers

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

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the slope of f(x) = -1/3x is -1/3

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Answers

Answer:

all parallelograms are rectangles

Step-by-step explanation:

the have 2 sets of parallel lines that are equal in length

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Step-by-step explanation:

Fine the slope of a line parallel to y=-2/5x+4/5

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Answers

Answer:

-2/5

Step-by-step explanation:

Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.

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Answer:

-2/5

Step-by-step explanation:

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Answers

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

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Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Which statement best describes the function represented by the graph?

Answers

Answer:

Step-by-step explanation:

You read a graph from left to right, just like you would read words on a page in a book.  At the left-most "side" of this graph, we are way up at positive infinity.  As we move from left to right, the graph begins to drop in y values.  A drop in y values indicates a decreasing graph.  So it's decreasing, we have that part.  As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity.  As the graph decreases in y values from left to right, the x values increase into positive infinity.  So your choice is the second one: The function is decreasing on the interval (-∞, ∞).

Answer:

It's B

Step-by-step explanation:

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