please explain to me how to solve for x and y

Please Explain To Me How To Solve For X And Y

Answers

Answer 1

Answer:

  (x, y) = (6, 2)

Step-by-step explanation:

You solve for x and y by writing equations that reflect the relation applicable to the given geometry.

The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.

  2x -4 = 4y . . . . . . down diagonal

  x +4 = 7y -4 . . . . . up diagonal

__

We can subtract the first equation from 2 times the second equation to eliminate the x-variable.

  2(x +4) -(2x -4) = 2(7y -4) -(4y)

  2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses

  12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms

  20 = 10y . . . . . . . . . . . . . . . . . . add 8

  2 = y . . . . . . . . . . . . . . . . . . . . divide by 10

Substituting into the second equation gives ...

  x +4 = 7(2) -4

  x = 6 . . . . . . . . . . . . subtract 4

The values of x and y are (x, y) = (6, 2).

_____

The lengths of the diagonals are 20 and 16.


Related Questions

can i get some help:

Answers

I believe your answer is B

Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.

Answers

agree because the y intercept is correctly graphed and the slope is 3/1 so the equation matches the y=mx+b formula

HELP ASAP PLZ
just answer the blanks ​

Answers

Answer:

i hope this helps!

Step-by-step explanation:

En la estrella la

suma de los cuatro

números de la línea

es la misma. ¿Cuáles

son los valores de: b

y c?

Answers

Sabiendo que en la estrella la  suma de los cuatro  números de la línea  es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.

En primer lugar, sabes que en la estrella la  suma de los cuatro  números de la línea  es la misma.

Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:

12 +1 +2 +15= 30

Entonces la suma en todas las líneas debe dar como resultado 30.

Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.

Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:

12 + (8-3) + 4 + b= 30

Resolviendo:

12 + 5 + 4+ b= 30

21 + b=30

b= 30 - 21

b= 9

Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:

15 + 3 +4 + c= 30

22 + c= 30

c=30 - 22

c= 8

Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:

Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30

Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30

De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.

En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.

Aprende más con este problema similar

https://brainly.com/question/25206811?referrer=searchResults

How many 1/5 are in 3 1/2?

Answers

Answer:

17 1/2

Step-by-step explanation:

3 1/2 / 1/5=17 1/2

Drag the numbers below to put them in order from least to greatest:
8.476
8.33
8.44
8.382
8.341
8.3

Answers

Answer:

8.3, 8.33, 8.341, 8.382, 8.44, 8.476

Step-by-step explanation:

Answer:

8. 3<8.33<8.341<8.382<8.44<8.476,hope i help you❤️

Solve for the value of R.
SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!

Answers

Step-by-step explanation:

[tex](3r + 4) + (8r - 2) = 90[/tex]

[tex]3r + 4 + 8r - 2= 90[/tex]

[tex]11r = 88[/tex]

[tex]r = \frac{88}{11} \\ [/tex]

[tex]r = 8[/tex]

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees

a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000

pls answer asap!!!​

Answers

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

help me please...
At least an explanation

Answers

Answer:

do u still need this question answeered?

Step-by-step explanation:

What equation can be written for this graph?
Pls help!!!

Answers

Answer:

y = 25x

Step-by-step explanation:

This is a straight line, so the formula is:

y = ax + b

a is the slope and b is the y-intercept.

Slope formula:

a = (y2 - y1)/(x2 - x1)

Select two random points from the line:

Point 1: x=2 and y=50Point 2: x=4 and y=100

Slope a = (100 - 50)/(4 - 2) = 50/2 = 25

=> y = 25x + b

Use one of the points to find b:

50 = 25*2 + b

=> b= 0

So the equation is y=25x

82. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?

Answers

Answer:

$466.62

Step-by-step explanation:

Balance = $175 - $24.39 - $65.21 + $381.22

Use your calculator to add or subtract each new term as indicated:

$175 - $24.39 = $150.61

Next, subtract $65.21:  $150.61 - $65.21 = $85.40

Finally, add $381.22:  $85.40 + $381.22 = $466.62

on November 27 the new balance in rob's account became $466.62.

You buy a sweater that is on sale for 20% off of the original price. The sweater cost $28. What was the original price?

Answers

Answer:

The original price was $50.

Step-by-step explanation:

Your sweater now cost $28 after 20% off.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50

Divide 6.72 by 0.041 and round to the nearest hundredth

Answers

Answer: 163.90

Step-by-step explanation:

163.9 is the answer

What is the measure of Segment AB if Segment BD is 10?*

Answers

Answer:

10

Step-by-step explanation:

all sides of square are the same

Plzzzzz plzzzzzzz help meeee

Answers

Answer:

Its correct

Step-by-step explanation:

Answer:                        

A    

Step-by-step explanation:

Which of the following is an irrational number?
A
64−−√

B
90−−√

C
25−−√

D
169−−−√
please help

Answers

Answer:

sqrt(90) is irrational

Step-by-step explanation:

sqrt(64) = 8

sqrt(90) = 3 sqrt(10)

sqrt(25) =5

sqrt(169)=13

The only one that is not simplified to an integer is sqrt(90)

sqrt(90) is irrational

Can someone please help me solve this

Answers

Answer:

Step-by-step explanation:

It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)

What is 2/3 divided by 4/9?

Answers

Answer:

3/2.

Step-by-step explanation:

2/3 ÷ 4/9=> 2/3 x 9/4=> 18/12=> 3/2

Conclusion:

Therefore, 2/3 divided by 4/9 is 3/2.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer: 1 1/2

Step-by-step explanation: 2/3/4/9

(2/3)(9/4) 18/12/6/6 3/2 1 1/2

At the bakery shop, each baker works at his or her own speed, making the same
number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60
cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes
made and days, who has the steepest graph? Explain.

Answers

Answer:

Marissa = 28 cakes in 2 weeks

Carlos = 60 cakes in 20 days

Shelby = 5 cakes in 2 days

To compare, make sure that the variables are of equal value

Marissa = 28 cakes in 14 days

Carlos = 60 cakes in 20 days

Shelby = 5 cakes in 2 days

How many cakes does each of them bake in a day?

Marissa = 28 ÷ 14

             = 2 cakes/day

Carlos = 60 ÷ 20

           = 3 cakes/day

Shelby = 5 ÷ 2

            = 2.5 cakes/day

Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.

Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke

Answers

At the ocean’s surface, the elevation is 0. Meaning, his deepest dive divided by two would be halfway (and a negative)

Ex.
Deepest dive: -1000
Halfway: -500

Answer:

im pretty sure that the answer is -50.5 feet.

Step-by-step explanation:

please answer fast...
785 divided by 10. AND IF YOU EXPLAIN HOW YOU GOT YOUR ANSWER I WILL GIVE YOU 5 STARS RATING.

Answers

Answer:

785/10=78.5

Step-by-step explanation:

You move the decimal point back a slot since your dividing by 10

Answer:

78.5

Step-by-step explanation:

i used a calculator bc im bad at lond division XD

if there is 26.5 g of sugar in 250ml, how much in 200 ml

Answers

There are exactly 21.2 grams in the 200 milliliters of sugar. Hope this helps!

The measure is the angles of a triangle are shown in the figure below. Solve for x

Answers

Answer:

30+48+x=180

x=102 ..........

..................

please can someone help with this

Answers

Answer:

true

false

true

true

Step-by-step explanation:

A.

For lines p and q, angles 2 and 3 are corresponding angles, so A is true.

B.

Angles 5 and 7 hare note corresponding angles or alternate interior angles.  B is false.

C.

For lines r and s, angles 2 and 4 are corresponding angles, so C is true.

D.

For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.

question 4 algebra maths

Answers

Answer:

30

Step-by-step explanation:

4(3)^2 +(3*-2)

4*9-6=36-6=30

Answer:

30

Step-by-step explanation:

Substitute x = 3 and y = - 2 into the expression

4x² + xy

= 4(3)² + 3(- 2)

= 4(9) - 6

= 36 - 6

= 30

can anyone please help me with this really quick

Answers

Answer:

90

Step-by-step explanation:

The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:

x + y + z = 185

They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:

x + (5x) + z = 185.

And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:

x + (5x) + (5x-13) = 185

So now we can combine like terms and solve for x.

6x + 5x - 13 = 185

11x - 13 = 185

11x = 198

x = 18

But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:

y = 5x

y = (5*18)

y = 90

4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers

Answers

Answer:

5km

Step-by-step explanation:

The formula for hypotenuse is

a squared + b squared = c squared,

4 squared is 16, and 3 squared is 9.

16+9 = c squared

25 = c squared

However, you don't want it to be squared, so you have to find the square root of 25, which is 5.

a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?

Answers

Answer:

12 apples

Step-by-step explanation:

32/8=4 Then you multiply it by 3 to get 12.

Answer:

41:9

Step-by-step explanation:

You have 32 red apples.

And a ratio of red apples to green.

The ratio is 8:3.

This ratio is a simplified veiw of it.

You need to do,

32 ÷ 8

which equals 3.

So then multiply both sides of the ratio by 3.

8 × 3 is 32

3 × 3 is 9.

Your new ratio is,

32:9

Red apples to green apples.

Now since you need the total amount of apples to green apples.

Add 32 and 9.

Which is 41 total apples.

Your new ratio is,

41:9

Which of these sets is a function ?

Answers

Answer:

A. trust me I did it and got 100

Answer:

D

since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.

In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.

Find the domain and range of this mapping diagram.

Answers

Answer:

Domain: 3,4,5,6

Range: 7,9,11,13

Pairs: (3,7), (4,9), (5,11), (6,13)

Step-by-step explanation:

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