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3 years ago

Find the solution of the system of equations. -10x-y=27 -4x-y=9

Mathematics

2 answers:

AlekseyPX3 years ago

6 0

Answer:

x=−1/10 y+ −27/10

x=−1/4 y+ −9/4

Step-by-step explanation:

−10x−y=27

Step 1: Add y to both sides.

−10x−y+y=27+y

−10x=y+27

Step 2: Divide both sides by -10.

−10x /−10= y+27 /−10

x=−1/10 y+ −27 /10

−4x−y=9

Step 1: Add y to both sides.

−4x−y+y=9+y

−4x=y+9

Step 2: Divide both sides by -4.

−4x /−4= y + 9/−4

x= −1/4 y + -9/4

bogdanovich [222]3 years ago

4 0

Answer:

(-3,3)

Step-by-step explanation:

y=3

x=−3

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The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is,

Maksim231197 [3]

Answer:

Step-by-step explanation:

We are given that a decimal number d

d=0.12345678...

Where d is formed by writing in succession all the positive integers in increasing order after decimal point.

We have to find the 100th digit of d to the right of the decimal point.

Place of first digit 1 after decimal=Tenth

Place of second digit 2 after decimal=Hundredth

Place of third digit 3 after decimal=Thousandth

Therefore, 100th digit of d to the right of the decimal point=2

5 0

4 years ago

Which function has the same graph as x + y= 11?

leonid [27]

Answer:

f(x) = 11 - x

Step-by-step explanation:

We have to find a function that has a graph as x + y = 11.

Now, the equation given is

x + y = 11

⇒ y = 11 - x

So, if we consider x as an independent variable and y as a dependent variable whose values are dependent on the values of x, then er can write y = f(x) = 11 - x

So, the function f(x) = 11 - x has the same graph as x + y = 11. (Answer)

8 0

3 years ago

Read 2 more answers

Suppose that, in some distant part of the universe, there is a star with four orbiting planets . One planet makes a trip around

WINSTONCH [101]

Answer: 90 Earth years.

Step-by-step explanation:

Analizing the information provided in the exercise, you need to find the Least Common Multiple (LCM) of the given numbers.

You can follow these steps:

1. You must descompose 6, 9, 15 and 18 into their prime factors:

$6=2*3\\\\9=3*3=3^2\\\\15=3*5\\\\18=2*3*3=2*3^2$

2. Finally, you need to choose the commons and non commons with their greatest exponents and multiply them. Then you get:

$L.C.M=2*3^2*5=2*9*5\\\\L.C.M=90$

Therefore, it will take 90 Earth years for them to all line up.

3 0

3 years ago

In a USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 61% to 32% (Los Angeles T

dybincka [34]

Answer:

a) percentage of respondents that favored neither Obama nor Romney in terms of likeability = 7%

b) For a given survey of 500, the number of respondents that favored Obama than Romney is 145.

Step-by-step explanation:

Given that none of those surveyed can favour the two candidates at the same time,

n(Universal set) = n(U) = 100%

n(Obama) = n(O) = 61%

n(Romney) = n(R) = 32%

n(That favour Obama and Romney) = n(O n R) = 0%

To calculate for the number that favour neither of the candidates

n(O' n R')

n(U) = n(O) + n(R) + n(O n R) + n(O' n R')

100 = 61 + 32 + 0 + n(O' n R')

n(O' n R') = 100 - 93 = 7%

b) For a given survey of 500, how many more respondents favored Obama than Romney?

Number of those surveyed that favour Obama = 61% of 500 = 305

Number of those surveyed that favour Romney = 32% of 500 = 160

Difference = 305 - 160 = 145

5 0

3 years ago

What best decribes the area of polygon

Vikentia [17]

Area is the space inside a shape

7 0

3 years ago