A is the point with coordinates (x, 2y).
B is the point with coordinates (3x, 4y).
The midpoint of AB has coordinates (-4, 15).
Work out the values of x and y.​

A Is The Point With Coordinates (x, 2y).B Is The Point With Coordinates (3x, 4y).The Midpoint Of AB Has

Answers

Answer 1

Answer:

x= -2 , y=5

Step-by-step explanation:

(x+3x)/2 = -4

4x/2 = -4

4x= -8

x = -2

(2y+4y)/2=15

6y/2=15

6y=30

y=5


Related Questions

Helpppppppppppp..!!!!!’nnnnmmmm


Answers

Step-by-step explanation:

heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

Can someone please help me with this question

Answers

Answer:

If x is the one vertically opposite to 40, then x will be 40, due to vertically opposite angles.

Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?

Answers

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

Find the solution of y = 6x + 1 for x = 5

Answers

Answer:

y equals to 31

Step-by-step explanation:

6(5) = 30

30+1 = 31

x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.​

Answers

Answer:

x = 1, 2, 3, 4

Step-by-step explanation:

15x - 43 < 5x + 2

15x - 5x - 43 < 2

15x - 5x < 2 + 43

10x < 45

x < 4.5

x = 1, 2, 3, 4

The required value of the x in the given inequality is x < 4.5.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Given expression,
15x - 43 < 5x + 2

Adding 43 on both sides,
15x < 5x + 45

Subtract 5x from both sides,
10x < 45

Divide the inequality by 10
x < 4.5


Thus, the required value of the x in the given inequality is x < 4.5.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY

EXPLAINING YOUR ANSWER = BRAINLIEST

What is m∠E?

Answers

Answer:

try 144

Step-by-step explanation:

m<E is basically just ot asking you to find the angle of E, i think :').

And since all angles equal to 180, 180-36=144

(hope ots right)

Question and choices are in the photo please explain the answer

Answers

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

The ratio of coloured papers to wight papers is 3:8.If there are 48 wight papers, how many coloured papers are there?

Answers

Answer:  The total number of colored papers is 18.

Step-by-step explanation:

Given: The ratio of coloured papers to wight papers is 3:8.

Let total number of colored papers = 3x

and total number of wight papers = 8x

Since, there are 48 wight papers , then

[tex]8x=48[/tex]

[tex]\Rightarrow\ x=6[/tex]

Now , number of colored papers = 3(6)=18

Hence, the total number of colored papers is 18.

pls pls pls help don't ignore imma fail

Answers

Answer:

6 as b

7 as a

Step-by-step explanation:

if indeed the scale is 3 to 1, this is correct! the answer is B

The slope of line j is 2 and j || K. What is the slope of line k?

Answers

if J and K are parallel then K also has a slope of 2

if m 7=99 degrees and m 1=32 degrees then what is m 4 + m 5

Answers

Answer:

229°

Step-by-step explanation:

(180- 32) + (180 - 99)

148 +81

= 229°

help, the question is on the image

Answers

[tex]p = \frac{2 -3g}{g + 4} [/tex]

Refer to the attachment for step by step explaination.

Have a nice day!!

Answer:

[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]

Step-by-step explanation:

[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]

if a:b=1:3 and b:c=5:8 what's a:c

need steps pls​

Answers

Answer:

a:c=1:8

Step-by-step explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8

Answer:

a : c = 5 : 24

Step-by-step explanation:

[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex]                  [tex][substituting \ b = 3a ][/tex]

                 [tex]\frac{a}{c} = \frac{5}{24}[/tex]

    [tex]=> a : c = 5 : 24[/tex]

find the volume of a cylinder with radius 5 and surface area 180pi

Answers : either 200pi or 325pi help !

Answers

Answer:

The volume of a cylinder is 325π.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]V = \pi r^{2}h[/tex]

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]

[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]

Hence, the volume is:

[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]

Therefore, the volume of a cylinder is 325π.

I hope it helps you!

Question
An employee makes $24 per hour during the normal week. This weekend that employee will make $36 per hour since it is a holiday. What is the percent increase in pay?

Answers

Answer:

The percent increase in pay is 50%.

Step-by-step explanation:

We need to find the percent increase from $24 to $36.

To solve this, we first must ask ourselves the question

36 is what percent of 24?

Y = P% of 24

36 = X · 24

To get X alone, we divide 36 by 24. That's 1.50. So now we know 36 is 150% of 24. Knowing 24 is 100%, we can find the percent increase. Well, how do we get from 100% (24) to 150% (36)? By increasing by 50%. Therefore, the percent increase in pay is 50%.

What additional information is needed to prove the triangles congruent by SSS

Answers

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

convert: 1 hour to seconds​

Answers

1 min = 60 seconds

1 hour = 60 mins = 60 x 60 = 3600 seconds .

If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4

Answers

Answer:

2

Step-by-step explanation:

f(x)= 2x^5-3x^3+2x^2+1

Let x=1

f(1)= 2(1)^5-3(1)^3+2(1)^2+1

    = 2*1 -3*1+2(1) +1

     = 2-3+2+1

     2

Problem:

[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]

Let's try!

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]

Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]

________

#LetsStudy

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?



(__,__ )

Answers

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

the answer is (3.2,12)

Solve for f
-5f + 5 < 15
-------------------
A: f < 2
B: f < 8
C: f > -2
D: f = 3

Answers

Answer:

f>-2

Step-by-step explanation:

-5f+5<15

Isolate f

-5f<10

Isolate

-f<2

Because f is negative we have to flip the sign

f>-2

If this helps please mark as brainliest

Answer: C
Hope this helps :)

John finances his daughter's college education by making deposits into a fund earning interest at an annual effective rate of 8%. For 18 years he deposits X at the beginning of each month. In the 16th through the 19th years, he makes a withdrawal of 25,000 at the beginning of each year. The final withdrawal reduces the fund balance to zero. Calculate X.

Answers

Answer:

Monthly payment = 241.925

Step-by-step explanation:

Effective interest rate is the actual interest paid at the end of the year AFTER compounding.  Most credit cards charge x% ("APR", annual percentage rate)annually.  Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.

Here, effective (annual) interest rate is 8%.  We need the monthly rate, i.

(1+i)^12 = 1.08

Solving, we have i = 0.6434% monthly approximately

To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18.  We therefore conclude that the "future values" fall on the same day, and that they are equal.

We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts.  By the end of the operations, one will balance the other (they are equal).

We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.

F(A,i,n) = A*((1+i)^n-1)/i

Step 1:

calculate the future value of the withdrawals

A = W = 25000 (annual withdrawal)

i = 8% (effective annual interest)

n = 4 years (beginning of 16,17,18,and 19th years)

F(A,i,n) = A*((1+i)^n-1)/i

= 25000( (1+0.08)^4 - 1)/(0.08)

= 112652.80

This is also the total deposit after eighteen years.

Step 2:

calculate the future value of the annual deposits D

A = D (total of annual deposits)

i = 8% (effective annual interest)

n = 18 years

Future value of deposits

F(A,i,n) = A*((1+i)^n-1)/i

= D( (1+0.08)^18 -1 ) / 0.08

= 37.45024373981167D

Since this must equal the total withdrawal, we equate the two to calculate D.

37.45024373981167D=112652.80

and solve for D

D = 112652.80 / 37.45024373981167

= $3008.0659

Step 3

Calculate monthly deposit, X

Effective interest rate is the actual interest paid at the end of the year AFTER compounding.  Most credit cards charge x% ("APR", annual percentage rate)annually.  Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.

Here, effective (annual) interest rate is 8%.  We need the monthly rate, i.

(1+i)^12 = 1.08

The actual monthly interest rate is therefore

i = 1.08^(1/12)-1

Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by

D = X*((1+i)^n-1)/i

3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)

or the monthly amount

X = $3008.0659 / ( 1.08^(1/12)-1)

= 241.925 per month.

=

Please help me. Study island is hard

Answers

Answer: 5/12

Step-by-step explanation:

13-7 = 5

16-4 = 12

A the answer is A have a nice day

Can someone please help me solve this
20 points to the person who can help me solve

Answers

Answer:

7/15

Step-by-step explanation:

P(appetizers with cheese) = number with cheese / total = 1/5

P(entrees with cheese) = number with cheese / total = 1/3

It is the P(a) + P(b) - P(a and b)

We cannot double count the cheese and cheese event)

P( cheese and cheese) = 1/3 * 1/5 = 1/15

1/5 + 1/3 - 1/15

3/15 + 5/15 -1/15

8/15 - 1/15

7/15

Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.

Answers

Answer:

5.0625 is 1.5 to the fourth power

Answer:

8

Step-by-step explanation:

4 to the power of 3 is 64.

64 ÷ (7 − 3) × 2

64 ÷ (4) × 2

64 ÷ 8

8

Your answer is 8.

I hope this helps, have a nice day.

Triangle ABC is similar to triangle FGH.

What is the value of x in centimeters?

Answers

Answer:

pythagorean theorem

18

Step-by-step explanation:

ajdjsjnsjsjdjxhdjdjdjdjdjsjsjsjssjs

Answers

Step-by-step explanation:

The area of a square is given by :

A = a²

Where

a is the side of the square

For square A, Area = 64 sq units

64 = a²

a = 8 units

For square B, Area = 30 sq units

30 = a²

a = [tex]\sqrt{30}[/tex] units

For square C, Side length = 14 units

A = 14²

A = 196 sq units

For square D, Side length =  [tex]\sqrt{30}[/tex] units

A = [tex](\sqrt{30})^2[/tex]²

A = 30 sq units

Hence, this is the required solution.

Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours

Answers

Answer:

[tex]A = 2.25ft[/tex]

Step-by-step explanation:

Given

[tex]High = 5.5ft[/tex]

[tex]Low = 1ft[/tex]

Required

The amplitude (A)

This is calculated as:

[tex]A = \frac{1}{2}(High - Low)[/tex]

So, we have:

[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]

[tex]A = \frac{1}{2} * 4.5ft[/tex]

[tex]A = 2.25ft[/tex]

i would really appreciate the help please

Answers

Answer:

1 and 2 only

Step-by-step explanation:

mark me as brainliest

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