Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)

Answers

Answer 1

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~

( p , p + q )

( p + 4 , 3q + 6 )

( p + p + 4 ) ÷ 2 = - 2

p = - 4

( - 4 + q + 3q + 6 ) ÷ 2 = 5

2q = 4

q = 2


Related Questions

Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly. How much should each person pay?

ill give brainliest plz help

Answers

Answer:

10.65

Step-by-step explanation:

just divide 5 [because there are five people] with $53.25 [the amount of money]

then the answer will be 10.25

thank you

hope it was helpful

Match to the other shape​

Answers

Answer:

wheres the picture?

Step-by-step explanation:

-5 1/5 + 3.7 + 5 1/10 how to solve

Answers

Answer:

to find the answer u have to simplify

Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
A)
x + 7 = 11
B)
X-7 = 11
9
C)
x + 7 = -11
D)
X - 7 = -1

Answers

Answer:

The number of miles Jill ran is the number of miles Sue ran (11) minus the number of miles Sue ran more than Jill (7).

So far, x=11-7.

Reorder the equation. Add 7 to both sides.

x + 7 = 11.

So, the correct equation is A.

:)

A) x + 7 = 11

Jill runs x amount of miles and Sue runs x miles plus 7 miles.

Pre college need help

Answers

Answer:

Yes

Step-by-step explanation:

Again substitute the values in and see if they give the same value or not

in which town does the total number have meaning

Answers

This question is incomplete, please provide more information!

For the function f(x) = 4x3 + 3x + 1, find f '(1).

A.
15

B.
8

C.
12

D.
13

Answers

Answer:B

Step-by-step explanation:

In a certain chemical the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 345 of copper how many grams of zinc does it contain ?

Answers

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

If you roll a die twice , what is the probability that sum of the two die 8 will appear

Answers

Answer:

5/36

Step-by-step explanation:

Answer:

the probability of getting a total greater than 8 is  10/36=5/18

Step-by-step explanation:

Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.

Therefore, the probability of getting a total greater than 8 is  10/36 which equals 5/18

Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8

Answers

Answer:

1/4

1/2

3/5

7/8

11/4

13/4

11/2

Solve: 2x^2 -x >15 Show your work.

Answers

Step by step explanation

Answer:

x>3

Step-by-step explanation:

Work:

2x^2-x>15

Subtract 15 on both sides:

2x&2-x-15>0

Factor the left side of equation to cancel out the ^2.

(2x+5)(x−3)>0

2x+5=0 or x−3>0

Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3

Rewrite 5/6 and 6/7 so they have a common denominator

Answers

Answer:

a command demonimater of 6 and 7 is 42

35/42 and 36/42

Hope This Helps!!!

Do Babies Understand Probability? Can babies reason probabilistically? A study1 investigates this by showing ten- to twelve-month-old infants two jars of lollipop shaped objects colored pink or black. Each infant first crawled or walked to whichever color they wanted, determining their "preferred" color. They were then given the choice between two jars that had the same number of preferred objects, but that differed in their p

Answers

Answer:

Step-by-step explanation:

Wow, that’s interesting!

Is this a question?

How many numbers are prime between 40 and 50?

Answers

Step-by-step explanation:

Correct answer:

(The primes between 40 and 50 are 41, 43, and 47 - three.

no link no bot please right fast but right

Answers

Answer:

12 in

Step-by-step explanation:

3in + 3in + 3in + 3in = 12

The perimeter is 12 inches because each side is 3 inches, therefore 3+3+3+3=12

Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.

Answers

N x 5 = c hope this helps!
n5=c

n=number of notebooks
c=total cost

In a garden 30% of the plants are carrots. If 63 plants are not carrots, how many of the plants are carrots.
Must show each step.

Answers

Answer: 27 see my work

Step-by-step explanation:

1. We know that 30% are carrots, meaning that 70% are not carrots (30% + 70% = 100%)

2. Since 70% and 63 of the plants are not carrots, we know that 63 = 70%

3. We need to find 30% of the plants (all of the carrots) so let’s divide 63 by 7

63 = 70%

*divide both by 7*

9 = 10%

4. We know that 9 plants is equivalent to 10% of the plants, so let’s multiply by 3 to get the number of carrots

9 = 10%

*multiply by 3*

27 = 30%

There are 27 carrots

Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles

Distance 16 Miles: Displacement 0

Distance 8 Miles: Displacement 8 Miles

Distance 6 miles : Displacement 8 miles

Answers

Answer:

[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]

Step-by-step explanation:

Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.

Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.

Hope it helps :) and let me know if you want me to elaborate.

Classify: −4m+21(m−1)≤15m+2(m−1).

Answers

Answer:

[tex]\boxed{\sf All\: real\: numbers}[/tex]

Step-by-step explanation:

[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]

Apply Distribution law:

[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]

Combine like terms:

** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]

[tex]\sf 2(m-1)[/tex]

[tex]\hookrightarrow 2m-2[/tex]

-----------------------------------------

[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]

Combine like terms:

** [tex]\sf 15m+2m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]

Add 21 from both sides:

[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]

[tex]\longmapsto\sf 17m\le \:17m+19[/tex]

Subtract 17m from both sides:

[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]

[tex]\longmapsto\sf 0\le \:19[/tex]

Therefore, the solution of the inequality: All real numbers

_____________________________________________

Evaluate the expression( 3x2)2

Answers

Answer:

12

Step-by-step explanation:

Its 12 because you would do what’s in the parentheses first, which is 3x2 which is 6, then multiply it by 2. 6x2=12.

If you paid $160 in interest to a loan company for the use of $10000 of or 30 days, what annual simple interest rate did they charge?

Answers

Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.

Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...

its a joke but how come hotdog buns are pact in 8 and hotdog meat is pact in 10

Answers

Answer:

every 5 bun packs : 4 hotdog meat pack

5:4

Step-by-step explanation:

can i have some help pls

Answers

Answer:

the first recipe

Step-by-step explanation:

We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.

Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.

nuts to cereal ratio = 2 1/2 : 5 = 1 : 2

Recipe 2: 1 cups of nuts per 3 cups of cereal.

nuts to cereal ratio = 1 : 3

1 : 2 is a higher ratio than 1 : 3

Answer: the first recipe

Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)

Answers

Answer:

20 m

Step-by-step explanation:

1/50 = 40/x

Cross multiply.

1 × x = 50 × 40

x = 2000

2000 cm × (1 m)/(100 cm) = 20 m

Answer: 20 m

Rodolfo has 15 toys in a toy box, and he adds 2 new toys every month. Based on this information , which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passed, x?​

Answers

Answer: The image listed below. It's the only valid answer that best shows the numbers of toys Roldlfo has in his toy box, y, and the number of months that have passed, x.

) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings​

Answers

Raj earned $58 and spent $ 12 so he saved( 58-12)= 45$ where Nicheal saved $20 so Raj saved more

Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form

Answers

Answer:

f(x) = (x - 7)(x + 3)(x)(x - 4)

Step-by-step explanation:

It's just like the roots of a quadratic but with more factors

f(x) = (x - 7)(x + 3)(x)(x - 4)

helppppppp pleaseeee again im sorry but i dont know any of itttttt.

Answers

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

Admission to a baseball game is $2.50 for general admission and $5.00 for reserved seats. The receipts were $3667.50 for 1109 paid admissions. How many of each
ticket were sold? (Round to nearest integer if necessary.)

Answers

The general admission tickets sold are 1467 and the number of  reserved seats tickets sold is 358.

Two equations would be derived from the question:

$2.50a + $5b = $3667.50 equation 1

a + b = 1109 equation 2

Where:

a - number of people for the general admission

b = number of people for the reserved seats

To determine the value of b, take the following steps:

Multiply equation 2 by 2.5

2.5a + 2.5b = 2772.50 equation 3

Subtract equation 3 from 2

2.5b = 895

Divide both sides by 2.5

b = 358

In order to determine the value of a, substitute for b in equation 2

358 + a = 1109

a = 1109 - 358 = 1467

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Plot the point (6, 0) on the coordinate plane.

Answers

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

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