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Darya [45]
2 years ago
7

What is the value of x and y?

Mathematics
1 answer:
ladessa [460]2 years ago
5 0

Answer:

x=16 and y=9

Step-by-step explanation:

2y+30=3y+21[Diagonals of parallelogram are equal]

30-21=3y-2y

y=9

3y=2x-5[Diagonals of parallelogram are equal]

3×9=2x-5

27=2x-5

2x=27+5

x=32/2=16

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Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)
PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

5 0
1 year ago
Pamela called nine repair shops for quotes for auto repairs. The prices are $139, $150, $345, $99, $167, $155, $140, $200, and $
ASHA 777 [7]

Answer:

Step-by-step explanation:

The prices of quoted of auto repairs are as listed below;

$139, $150, $345, $99, $167, $155, $140, $200.

For her to check whether there is an outlier in the data, she needs to find the mean of the set of data. An outlier is a value in a set of a data that varies considerably from other data in a dataset. It may be larger or smaller than other set of datas. An outlier can affect the decision of a set of data to be analysed if nor taken care of.

From the data, the possible outliers are $99 and $345

Mean of the data = sum of all the prices/sample size

xbar = \sum Xi / N

Xi are individual datas

\sum Xi = $139+$150+$345+$99+$167+$155+$140+$200+$160

\sumXi = $1555

Sample size = 9

Mean = $1555/9

Mean = $172.78

Hence the value that would best represent the central tendency is $177.78

5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
amm1812

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

12x + 5y = -4

We make x the subject of the first equation and put it into the second:

x =  - 13 - 2y

We put this expression for x into the second equation

12(-13-2y)+5y=-4

-156-24y+5y=-4

-24y+5y=-4+156

-19y=152

y=-8

We substitute y=-8 into x=-13-2y to get:

x =  - 13 - 2( - 8) = 3

The solution of this system of equations is (3 , -8)

3 0
3 years ago
An object’s will remain constant throughout the universe, but its can change from planet to planet. If you increase the mass of
Annette [7]

Answer:

Step-by-step explanation:

it becomes lighter  :P   or maybe you could say  "bouncier"   :P  

7 0
3 years ago
Read 2 more answers
30 pts pls help
kodGreya [7K]

Answer:

(8, 5) (Answer C)

Step-by-step explanation:

Write this system of linear equations in a (vertical) column:

4x - 3y = 17

5x + 4y = 60

Let's eliminate y through addition/subtraction:

Multiply 4x - 3y = 17 by 4, obtaining 16x - 12y = 68, and

multiply 5x + 4y = 60 by 3, obtaining 15x + 12y = 180.  Then we have:

16x - 12y = 68

15x + 12y = 180

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

31x          = 248, and so x = 248/31 = 8.

Now find y.  Substitute 8 for x in 5x + 4y = 60:  5(8) + 4y = 60, or

4y = 60 - 40 = 20.

Thus, y = 20/4, or y = 5.

The solution is (8, 5) (Answer C)

8 0
3 years ago
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