find the value of y for which the distance between the points p(2 -3) and q(10 y) is 10 units​

Answers

Answer 1

Answer:

Step-by-step explanation:

Using the distance formula: distance = [tex]\sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }[/tex]

sub it in,

10 = [tex]\sqrt{(10 -2)^{2}+(y-(-3)^{2}}[/tex]

10 = [tex]\sqrt{(8)^{2} +(y+3)^{2}}[/tex]

10 = [tex]\sqrt{64+y^{2} +9+6y}[/tex]

10 = [tex]\sqrt{73+y^{2} +6y}[/tex]

square both sides:

100 = 73 + [tex]y^{2}[/tex] + 6y

[tex]y^{2}[/tex] + 6y = 27

y( y + 6) = 27

y = 27 OR THE OTHER SOLUTION IS y + 6 = 27

y = 21


Related Questions

16. (02.06 MC)
The double number line below shows the approximate number of pounds in a certain number of kilograms:
2
3
Kilograms
3
5
7
→ Pounds
Based on the number line, about how many pounds are there in 4.5 kilograms? (1 point)
O8
9
10
O 11

Answers

Answer:

the answer is 8

Step-by-step explanation:

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48.
Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
A. Yes, because the ratios 2.560.48 and 632 are equivalent; y = 0.08x.
B. Yes, because the ratios 2.5632 and 0.486 are equivalent; y = 0.08x.
C. Yes, because the ratios 2.5632 and 0.486 are equivalent; y = 0.8x.
D. No, because the ratios 2.5632 and 0.486 are not equivalent; y = 0.08 + x.

Answers

B is the awnser to that question

Which if the following does not describe slope

Answers

Answer:

I need to see answer choices, but things that don’t describe a slop is anything that aren’t points, graphs or tables.

Step-by-step explanation:

If you show the answers I can tell you the exact answer.

Answer:

Please provide answer choices. As I have nothing to look off of, I cannot answer accurately. However, I can provide a definition to the word, "slope".

Explanation:

The equation for slope can most often be written out as y=mx+b, where m is the slope, and b is the intercept. The slope of a line is the number that shows the rise and run of the line.

What is the constant of proportionality?

Answers

Answer:

1

Step-by-step explanation:

The equation of the following line looks like this:

[tex]y=x[/tex]

In this type of line, every single y value corresponds to the given x value. The slope of this line is considered to be positive one, as you can multiply x by one and still get the same number (Identity property)

A constant of proportionality originates from this type of equation:

[tex]y=kx[/tex]

K is the constant, and the number multiplied by x. It can also be recognized as the slope (m)

I hope I was of assistance! #SpreadTheLove <3

The school band played at the park last weekend. On Saturday, 2,684 people came to hear the concert. On Sunday, 375 more people came to the concert than Saturday. What was the total number of people who came to hear the concert last weekend? Show you thinking using models and equations.

Answers

Answer:

5,743 people

Step-by-step explanation:

Number of people that came to hear the concert on saturday = 2684 people

If on Sunday, 375 more people came to the concert than Saturday, the the total number of people that cam on sunday = 375+2684 = 3059 people

The total number of people who came to hear the concert last weekend will be expressed as;

= People that came on saturday + those that came in sunday

= 2684 + 3059

= 5,743 people

If the formula for the perimeter of a rectangle is P=2L+2W, what is the value of w?

Answers

Answer:

The value of W is (P-2L)/2.

Step-by-step explanation:

P=2L+2W

-2L

(P-2L)/2=(2W)

(P-2L)/2=w

Name the line and plane shown in the diagram.

Answers

Answer:

Step-by-step explanation:

its C. NM and plane PO

HELP NOW!! PLEASE!! I NEED HELP!!!!

Answers

Answer:

-2

Step-by-step explanation:

14/7 = 2

So,

-14/7 = -2

Check:

-2 x 7 = -14

Answer:

-2

Step-by-step explanation:

because 7 can go into 14 2 times and since the 14 is negative the answer is negative

evie and elliette are selling cups of lemonade for $0.75 each. if the amount of money they make, m, selling c-cups of lemonade is modeled using a function, then explain why 2 will not be part of this functions range

Answers

Answer:

here's an example to help you on this question here you go

you would do this but this is only an example to help you cuz

$18 divided by $0.75 =24

She sold 24 cups of lemonade, and your equation looks like this:

$18 ÷ $0.75 = 24

Step-by-step explanation:

You want to buy some noodles. An 8-ounce package costs $2.88. A 14-ounce package costs
$5.18. A 20-ounce package costs $6.80. Which package is the best buy?
The
-ounce package of noodles is the best buy.
Click to select your answer(s).

Answers

Answer:

A 20-ounce package that costs $6.80 is the best buy

Which value is an output of the function?
-6
-2
4
7
Yeah

Answers

Answer: f(x)

Step-by-step explanation:

Which equation has a graph that is parallel to the graph of 2x − y = −1?

A. 2x + y = 8
B. y = −1/2x + 3
C. y − 1 = 2(x − 3)
D. y = −2x − 1

Answers

Answer:

B

Step-by-step explanation:

So from the first graphs equation is

2x-y=-1

therefore if we made y the subject of the formula, the equation would be

2x+1=y , this is also the same as y=2x+1

from this, the equation is clearly in the form y=mx+c so we can get the gradient

The gradient of graph one would be 2

The perpendicular gradient would be the negative reciprocal of graph one's gradient which would be -1/2

Now we look at our options and see which one has the gradient as -1/2

Using linear function concepts, it is found that the equation parallel to 2x - y = -1 is given by:

C. y − 1 = 2(x − 3)

The equation of a line has the following format:

[tex]y = mx + b[/tex]

I n which m is the slope.If two lines are parallel, they have the same slope.

The equation of the line given is:

[tex]2x - y = -1[/tex]

[tex]y = 2x + 1[/tex]

Which has slope [tex]m = 2[/tex]

If we look at option C:

[tex]y - 1 = 2(x - 3)[/tex]

[tex]y = 2x - 6 + 1[/tex]

[tex]y = 2x - 5[/tex]

It also has slope of [tex]m = 2[/tex], the same as the line given, thus, they are parallel.

A similar problem is given at https://brainly.com/question/22532445

Can someone explain or help me with these problems
Please and thank you

Answers

Answer:

1st picture (tri) = 16y+8

2nd picture (tri) = 12x-9

3rd picture (sq) = 21x+35

Step-by-step explanation:

Triangle area = (Base x Height) divided by 2

#1.)  16(2y+1) = 32y + 16            (32y+16)/2 = 16y+8

If you need more explination ask me :)

16
Find the slope of the line that passes through the ordered pairs (3,5) and (35)
look

Answers

Answer:

3,5?

Step-by-step explanation:

you go to a shop that sells tricycles. there are 18 wheels in the wheel shop. how many tricycles are in the shop?
explain how you know.

Answers

Answer:

I think there are 6 Tricycles in the shop.

Step-by-step explanation:

There is 3 wheels in a tricycle and 18 divided by 3 is 6.

Zoe makes a total of $72.85 selling cookies and cupcakes at a bake sale. If she sells 17 cupcakes for $3.25 each, how many cookies does she sell at $1.60 each? Make sure to explain how you got your answer.

Answers

Answer:

46. or 45.5 if not rounded

Step-by-step explanation:

We know she makes $72.85 at selling cookies if she sales 17 cupcakes for $3.25 she'll make $55.25 but were trying to find how many she sales with $1.60 so $72.85 divided by 1.60 is 45.5 and if not then it's 46. rounded.

Expand 3(t-2)
I need an answer quickly please

Answers

Answer:  3t - 6

Reasoning:

We multiply the outer term 3 by each term inside, which is t and -2

3 times t = 3*t = 3t

3 times -2 = 3*(-2) = -6

Add up those results to get 3t+(-6) = 3t-6

Therefore, 3(t-2) = 3t-6

This is an example of the distribution property.

Answer:

18

Step-by-step explanation:

3(t-2)

3x2=6

(t-6)

^3^

3(6)

3x6= 18

Explain how you would use the diagram to find
the number of yards of white fabric used when
64 yards of blue fabric is used.

Answers

Answer:

we need a diagram.

Step-by-step explanation:

Jaime is 48 years younger than Jessica. 8 years ago, Jessica's age was 4 times Jamie's age. How old is Jaime now?

Answers

Answer:

I think 50 i may be wrong though

Step-by-step explanation:

Can I someone help me answer this?

Answers

The dependent is the childrens hospital

Which inequality does the graph represent?

Answers

Answer:

Step-by-step explanation:

-2

Answer:

(-3,-3)

Step-by-step explanation:

I think I think

need answers to both questions ​

Answers

Answer: -4c+12

all real numbers

Step-by-step explanation:

6) 28-(3c+4) =2 (c+6)+c

When there is a - in front of an expression in parentheses , change the sign of each term of the expression.

28-3c-4=2(c+6)+c

Distribute 2 through the parentheses

28-3c-4=2c+12+c

Now we do the same thing only different way

2(c+6)

Multiply each term in the parentheses by 2

2c+2×6

Multiply the numbers

2c+12

_____________

28-3c-4=2c+12+c

subtract the numbers

24-3c=2c+12+c

Collect like terms

24-3c=3c+12

It's the same thing only different way ok

2c+c

If a term doesn't have a coefficient , it is considered that the coefficient is 1.

2c+1c

Collect like terms by adding their coefficients

(2+1)c

Add the numbers

3c

________

24-3c=3c+12

Move variable to the left hand side and change its sign

24-3c-3c=12

Move constant to the right  by adding its opposite to both sides

-3c-3c+24-24=12-24

eliminate the opposites

-3c-3c=12-24

Collect like terms

-6c=12-24

Calculate the difference

-6c=-12

so the same thing only different way ok

12-24

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

-(24-12)

Subtract the numbers

-12

__________

-6c=-12

divide both sides of the equation by -6

-6c÷(-6)=-12÷(-6)

Any expression divided by itself equals 1

c=-12÷(-6)

Dividing two negatives equals a positive

(-)÷(-)=(+)

c=12÷6

Calculate the quotient

c=2

Answer : 2

7) no solution

On Monday, Mr. Lieberenz ran 2.1 miles in 36 minutes. On Tuesday, he ran 5.1 miles in 22 minutes. His rates on Monday and Tuesday ____ proportional because the unit rates for the two days are ____

a. are, the same
b. are, different
c. are not the same
d. are not, different
e. are not, not related
o
f.
are, not related

Answers

Answer:

Historically, surnames evolved as a way to sort people into groups - by occupation, place of origin, clan affiliation, patronage, parentage, adoption, and even physical characteristics (like red hair). Many of the modern surnames in the dictionary can be traced back to Britain and Ireland.

Similar surnames: Leverenz, Lewerenz, Lieberg, Lieber, Lieberman, Liebert, Liebermann

Step-by-step explanation:

Mary is making some shots for her school's drama department the fabric store has three and one six yards of fabrics she wants and in stock but this quantity of fabric can only make one and one third shirts what like the fabric does Mary need to buy if she wants to sew two shirts

Answers

Answer:

I rally dont know

pls help me its due in 10 minutes!

Answers

Answer:

7 hours

Step-by-step explanation:

PLEASEEEEE I NEED HELP WITH THIS!!
Solve for x.
5
6X 30
7 1
X+ x =
5*= -52
x =
(Type an integer or a simplified fraction.)

Answers

The answer is for x is x = 60

Answer:

x = 60

Step-by-step explanation:

0.8 as a decimal or fraction

Answers

0.80 as a decimal 4/5 as a fraction

Hi! 0.8 (or 0.80) is equivalent to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex] (simplified) as a fraction. I hope this helps you! Good luck and have a great day/night. ❤️✨

An electronics store is having a sale. A CD player that normally costs $49.95 is on sale for 5% off. How much is the discount

Answers

Answer:$2.50

Step-by-step explanation: You will take $49.95 times 0.05 or 5% and you get 2.497 and round that to $2.50.

PLEASE HELP QUICKLY Evaluate 12 + 4 x 3 - 15

Answers

Answer:

15

Step-by-step explanation:

4×3=12 15-12=3 3+12=15

As part of the performance bonus in a certain company, an employee will earn a 1 % increase every month. Ricka earns P 20 000 every month. How much will she earn after a year?

Answers

Answer:

FV= $22,536.5

Step-by-step explanation:

Giving the following information:

Growth rate (i)= 1% monthly

Present value (PV)= $20,000

Number of periods= 12 months

To calculate how much will the employee earn after a year, we need to use the following formula:

FV= PV*(1+i)^n

FV= 20,000*1.01^12

FV= $22,536.5

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