The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?

Answers

Answer 1

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

[tex]M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 = \frac{D_1 \ - \ 2}{2} \ \ ----(1)\\\\-7 = \frac{D_2 -10}{2} \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)[/tex]

Therefore, the coordinate of D = (-4, -4)


Related Questions

HELPPPPPP ASAPPPPPP!!!!

Answers

Answer:

6.96cm^2

Step-by-step explanation:

Area of triangle:

Base*height/2

5.8*2.4/2

Area = 6.96cm^2

Answer:

the answer is c

Step-by-step explanation:

when you look for the area you multiply so its c

‼️ help me it is due today Find the value of x.
58°

‼️‼️‼️

Answers

58 degrees because they are congruent angles

Show the correct relationship between altitude and boiling point.
Altitude
Boiling Point Temp.

Answers

The relationship between altitude and boiling point is given below.

What is altitude?
Altitude is the height above sea level. It is usually measured with a barometer or GPS satellite. Altitude can be used to describe the height of an airplane, a mountain, or even the position of a satellite in space. Altitude can also be used to measure how high a person is standing on Earth. Altitude can also be used to compare the relative heights of two different points on Earth. Altitude is an important factor when flying, as it can determine air pressure, air temperature, and wind speed.

Sea Level 212°F
1,000 ft. 211°F
2,000 ft. 210°F
3,000 ft. 209°F
4,000 ft. 208°F
5,000 ft. 207°F
6,000 ft. 206°F
7,000 ft. 205°F
8,000 ft. 204°F
9,000 ft. 203°F
10,000 ft. 202°F

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john bought 53 cartons of eggs,and each had 24 eggs.250 of the eggs were bad.how many good eggs did she get?​

Answers

Answer:

1022

Step-by-step explanation:

total of eggs

= 53 × 24

= 1272

the good eggs

= 1272 - 250

= 1022

help i really don’t understand this

Answers

Answer:

45 degree

Step-by-step explanation:

45+45 90 +90 180

All triangles will have 180 degrees angle

which number is equivalent to (-14+6)-8÷4×4​

Answers

Answer:

0

Step-by-step explanation:

-8-8+4×4

-8-8+16

-16+16

=0

(2x + 5) (4x − 3) (5x - 4) can be expanded and fully simplified to give an expression of the form ax³ + bx² + cx + d.
Work out the values of a, b, c and d.

Answers

Answer:

To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.

The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.

The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.

Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:

(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)

This can be simplified to:

= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12

Combining like terms, we get:

= -12x³ + 143x² + 100x + 12

So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.

Step-by-step explanation:

A. 13 X 14
B. 7 X 6
C.20 X 7
D. 103 X 104

Answers

that whole is 182 so it should be A.

Let f(x) = x − 2 and g(x) = x^3. What is (f ◦ g)(2)?

Answers

The answer to this question is - 3

help plsss its due by tonight!!

Answers

Answer:

i am pretty sure the answer is d.

Step-by-step explanation:

let me know if this is wrong

What number will be multiplied to give -100 and be added to give 8​

Answers

Answer:

-12.5

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

If the given figure is rotated 90 degrees counterclockwise around the origin, what are
the new coordinates of point M?

Answers

Answer:

the answer is (-4,2)

hope this helps

Answer:

(-2,4)

Step-by-step explanation:

M Explain why this is true
PLEASE HELP!!!

Answers

Answer:

The given statement is true because the person they did their steps correctly

a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .

b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is30° .

c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is15° .

d) Find the distance between point C and the midpoint of segment AB .

Repeat with points D and E.

e) Suppose F is a point on the graph so that ABF is a right triangle

withm AFB ∠ =° 90 . Make a conjecture about the point F.

What is the y-intercept of the quadratic function f/x )=( x 6 )( x 2?

Answers

The y-intercept of the quadratic function f(x) = (x - 6)(x + 2) is -12.

The y-intercept of a quadratic function is the point at which the graph of the function crosses the y-axis. This means that when x = 0, the value of y is equal to the y-intercept. In the case of the function f(x) = (x - 6)(x + 2), when x = 0, the value of y is equal to -12. This means that the y-intercept of the function is -12. To find the y-intercept, we can also substitute 0 for x in the equation, which would give us 0 = (0 - 6)(0 + 2), which simplifies to 0 = -12, and thus the y-intercept is -12.

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Please help me I am struggling with this

Answers

Step-by-step explanation:

(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.

(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.

y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7

(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.

y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.

(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.

y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.

(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.

y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.

(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.

y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.

(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.

y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.

(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.

i do not understand how proportionality works

Answers

Answer:

3.5

Step-by-step explanation:

In this problem, the line's constant of proportionality is the same as its slope.

Slope is defined as rise / run (also notated as change in y / change in x).

Using the given point, we can deduce that the line's rise (change in y) is 3.5, and its run (change in x) is 1. Putting these values into the slope formula:

3.5 / 1 = 3.5

So, the constant of proportionality of this line is 3.5.

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 15 hours, to the nearest whole number?

Answers

The population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours.

Given that,

P_t = P_0 * 2^(t/d) , which refers to the formula for the calculation of the number of bacterial cell in a population.

In the given formula, P_t is the population after t hours, P_0 is the initial population, t is the time in hours and d is the doubling time in hours,

Therefore,

P_0 = 7100

d = 2

t = 15

so,

P_15 = 7100 * 2^(15/2) = 7100 * 181.019= 1285234.9 which is nearly equal to 1285235

A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours, the population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235

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A rectangular trunk has a volume of 26,880 cubic inches. The trunk is 48 inches long by 28 inches wide. What is the trunk’s height?

Answers

Answer: 240

Exclamation:

26880=4(28)(h)

26880= 112. (h)
_____. ____
112. 112

Answer: 240=h

I hoped this helped!

Answer:

26880=48(28)h 48(28)=1200 26880÷1200=20 h=20

**Please help ASAP
A sum of $2000 needs to be split among three people so that the first person receives $120 more than the second person and the third person receives twice as much as the second person. Set up and solve an equation or equations to determine how much each person will receive.

Answers

Answer:

1st person will receive = $590

2nd person will receive = $470

3rd person will receive = $940

Step-by-step explanation:

Total divisible amount = $2000

according to the question:

let 2nd person's received amount = x

1st person's received amount = x + 120

3rd person's received amount = 2x

x + x + 120 + 2x = 2000

4x + 120 = 2000

4x = 2000 - 120

4x = 1880

x = 1880 / 4

thus,

x = 470

1st person will get = x + 120 = 470+120 = $590

2nd person will get = x = $470

3rd person will get = 2x = 2 * 470 = $940

How do you find an inverse?

Answers

Answer:

by using 1 to divide the value

Step-by-step explanation:

the inverse of 5/8 is 8/5.

Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. (8x 3)(4x 7)

Answers

The product of the two polynomials is (8x³)(4x⁷) = 32x¹⁰.

THE POLYNOMIALS

When we multiply two polynomials together, we add the exponents of the x's in each term. In this case, we have 8x³ and 4x⁷. The x in 8x³ has an exponent of 3, and the x in 4x⁷ has an exponent of 7. To find the product of the two polynomials, we add the exponents of the x's in each term, so 3 + 7 = 10. The x in the product will have an exponent of 10. The coefficient, or the number in front of the x, is also multiplied together, so 8 × 4 = 32.So the final answer is 32x¹⁰, where 32 is the coefficient and 10 is the exponent of x.The polynomial 32x¹⁰ is an example of a polynomial, but it's not a characteristic of a polynomial.A polynomial is a mathematical expression involving a sum of powers in one or more variables (such as x, y, z) with non-negative integer exponents and real or complex coefficients. A polynomial can have one or more terms, and each term is separated by a plus or minus sign.

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You roll a number cube numbered from 1 to 6. What is the probability that the number is a 3? (Answers are rounded to the nearest hundredth percent.)

Answers

Answer:

1/6

Step-by-step explanation:

30 + 10 ⋅ 5 – 45 ÷ 5

Answers

The answer is 71 no promises tho

Answer:

71

Step-by-step explanation:

30+10×5-45÷5= 30+50-9=71

If anyone knows the answer for this question please help!
7th grade math.

Answers

Answer:

47°

Step-by-step explanation:

(180 - 86) / 2 = measure of each congruent angle

94/2 = 47

Sally has 4 apples for school lunch, her friend asks if she can 2 apples for Sally's 4 apples. How many more apple would Sally have left after giving her friend 2?

Answers

Answer:Sally would have 2 apples left

Step-by-step explanation:Because 4-2=2 so she gave 2 away so she has 2 left.

please help me, thank you

Question 7 options:
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.

Answers

145 miles apart

hope this helps

Lia need to ell at leat 140 card to make a profit. Monday-thurday he ell 15,7,14,45 card. How many more will he need to ell on friday to make a profit?

Answers

Lisa needs to sell fifty nine (59) cards on Friday to make a profit, based on total 140 cards and the information on number of cards sold per day.

The total number of cards to be sold for profit = number of cards sold till Thursday + Remaining cards

We need to calculate remaining cards, but before that, we will find the sum of sold cards.

Number of cards sold = 15 + 7 + 14 + 45

Performing addition on Right Hand Side of the equation

Number of cards sold = 81

Remaining cards = 140 - 81

Performing subtraction on Right Hand Side of the equation

Remaining cards = 59

Thus, required number of cards is 59.

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The complete question is-

Lisa need to sell at leat 140 card to make a profit. Monday-thursday she sell 15,7,14,45 card. How many more will she need to sell on friday to make a profit?

If sin0≈0.3090, what is the approximate vale of csc0?

Answers

Answer:

the approximate of 0•3090 is 0•31

1. Mckayla is using elimination to solve the
system below and will first add the equations
together.
5x - 2y = 42
-3x + 2y = -26

Answers

by using the elimination method, you would essentially add the two equations together by combining like terms. normally this would require manipulation however this equation doesn't because the y is already opposites of each other. (a negative and positive value of the same number i.e. -2 and 2)

so add the two equations together and you're left with 2x = 16, (they y's cancelled each other out) then divide two on both sides to get x = 8

now, use that x value in either equation (it doesn't matter which), we can use -3x+2y=-26

plug it in to get -3(8) + 2y = -26
which is then -24 + 2y = -26
add 24 to both sides: 2y = -2
divide 2 on both sides: y = -1

now knowing x=8 and y= -1 we can say that the answer is (8,-1)

hope this helps!!

The robotics club had 80 members. Because of the pandemic that amount decreased by 65%.

How many people are in the robotics club now?

Answers

Answer: 28

Step-by-step explanation:

65% of 80 is 52

80 - 52 = 28

28 people

jeez, 52 people quit? That’s a lot!

sorry if it’s wrong. Have a great day!

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