Find the equation of this line.
Acellus

Answer:

x=45

y=6

Step-by-step explanation

Answer:

Step-by-step explanation:

Place : y+x=2 <==> y = 2-x

and now replace y with the x-expression:

2x-(2.x)=-4 <==> 2x-2+x= 4 <==> 3x-2 =4 <==> 3x = 6 --> x = 2

and y = 2-x so y = 2-3 = -1

so the solution is S = {(2; .1)}

Answer:

72%

Step-by-step explanation:

18/25 x 4= 72/100

=72%

Answer:

72%

Step-by-step explanation:

To convert fractions into percentages we could change to decimal and then multiply by 100 but it would be easier to just make the fraction's denominator to 100 by finding an equivalent fraction:

18/25 = 18×4/25×4

72/100

So 72% of students have a pet

Answer:

x = 12, y = 9, z = 11

Step-by-step explanation:

(3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7

= 3^4 x 5^4 x 2^5 x 3^5 x 2^7 x 5^7

= 2^(5 + 7) x 3^(4 + 5) x 5^(4 + 7)

= 2^12 x 3^9 x 5^11

so x = 12, y = 9, z = 11

Answers:

[tex]i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\[/tex]

=====================================================

Explanation:

By definition, [tex]i = \sqrt{-1}[/tex]

Squaring both sides gets us [tex]i^2 = -1[/tex]

Then multiply both sides by i to get [tex]i^3 = -i[/tex]

Repeat the last step and you should get [tex]i^4 = -i^2 = -(-1) = 1[/tex]

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

Notice we have this pattern going on:

[tex]i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\[/tex]

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

[tex]i^{157} = i^1 = i[/tex]

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

Similarly,

315/4 = 78 remainder 3

So [tex]i^{315} = i^3 = -i[/tex]

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

102/4 = 25 remainder 2

[tex]i^{102} = i^2 = -1[/tex]

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

76/4 = 19 remainder 0

[tex]i^{76} = i^0 = 1[/tex]

Answers:

24 quarters

22 nickels

==========================================================

Work Shown:

q = number of quarters

n = number of nickels

q+n = 46 coins total which solves to n = 46-q

25q = value of all the quarters in cents

5n = value of all the nickels in cents

25q+5n = value (cents) of all the coins of both types

25q+5n = 710 cents total = $7.10

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

Apply substitution.

25q+5n = 710

25q+5(46-q) = 710

25q+230-5q = 710

20q+230 = 710

20q = 710-230

20q = 480

q = 480/20

q = 24

They have 24 quarters

This yields 25*q = 25*24 = 600 cents = $6.00 so far.

Use that value of q to find n

n = 46-q

n = 46-24

n = 22

They also have 22 nickels.

They have an additional 5n = 5*22 = 110 cents = $1.10

In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.

Answer:

Hema - 9 stickers Rekha - 21 stickers

Step-by-step explanation:

Total Number of stickers given - 30

Ratio of stickers divided between Hema and Rekha - 3:7

Let the number of stickers Hema have be 3x

Let the nunber of stickers Rekha have be 7x

According to question,

3x+7x=30

10x=30

x=30/10

x=3

Therefore,

Number of stickers Hema got = 3x

= 3*3

= 9

Number of stickers Rekha got = 7x

= 7*3

= 21

Hence,

Hema will get 9 stickers

Rekha will get 21 stickers

Answer:

I believe the answer to your question is 34°

Step-by-step explanation:

Corresponding angles and sides are listed in the same position when 2 triangles are either given congruent or asked to be proven congruent.

For example triangle ABC and triangle XYZ

Corresponding sides are AB and XY, BC and YZ, AC and XZ

corresponding angles are angle A and angle X and so on....

Answer:

1: y=-2x+5

Step-by-step explanation:

When two lines are parallel, the slopes are equivalent.

First, you have to turn 2x+y=7 into standard form.

2x+y=7

y=-2x+7

The slope is -2 so then you find an answer choice with -2 as the slope.

Turn all the answers into standard form first:

2: x+2y=4

2y=-x+4

y=-1/2x+4  Not choice 2 since the slope is -1/2.

3: y-2x=2

y=2x+2 Not choice 3 because the slope is positive 2.

Therefore, choice 1 is parallel to equation 2x+y=7.

The total of people in the Cinco de Mayo parade if there are 140 dancers and these represent the 35% is 400.

This information can be known by using the information given about the dancers and a rule of three.

In this case, we know 140 dancers are equal to 35%. This means:

140 = 35 %

 x    = 100 %

x= 140 x 100 = 35

x= 14000 / 35 = 400

This means 400 are the total people in the parade.

Learn more about Cinco de Mayo in https://brainly.com/question/440893

Answer:

value of a is -19

value of b is 10

Step-by-step explanation:

Given

p(x) = 6x³ + ax² + 9x + b

Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .

So, x = 2 & x = -1/2 are the solutions of given polynomial .

when x = 2

p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0

p(2) = 6×8 + 4a + 18 + b = 0

p(2) = 48 + 4a + 18 + b = 0

p(2) = 66 + 4a + b = 0

4a + b = -66 -------(i)

Now ,

when x = -½

p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0

6 × (-⅛) + a/4 - 9/2 + b = 0

-3/4 + a/4 - 9/2 + b = 0

-3 + a -18+4b/4 = 0

-21 + a + 4b = 0

a + 4b = 21 -------(ii)

Now, multiplying the equation (ii) by 4 we get

4a + 16b = 84 -----(iii)

Substracting equation (i) from (iii) we obtain

15b = 150

b = 150/15

b = 10

Now, putting the value of b = 10 in equation (ii) we get

a + 40 = 21

a = 21-40

a = -19

So, the required value of a & b are 10 & -19 respectively .

Answer should be:

y = -3x - 3

Answer:

The equation is y = - 3x - 3

Step-by-step explanation:

Step 1:

Equations always start with y = (unless you are in grade 11) in which case you start with f(x) =

Step 2:

Use rise over run to find the slope (since its based on graph, if not there is a formula to find it when given coordinate points only)

So to use rise over run, you count how many squares upwards starting from a point that aligns in the graph (in this case the bolded dots)

So you start at (-2, 3) and count how many squares up or down to the next bolded dot (if its up its positive, if you have to go down then its negative).

Then once youve reached the same y-value as the the other dot, count how many squares to the right.

So in this case, you have to go down 6 times and right 2 times.

So as a fraction its -6/2 but that can be simplified to just -3

So thats the slope: -3

Step 3

then you need to find the y-intercept (where the line touches the y-axis)

Its easy: you can visually see that the line crosses at -3.

and the format for the equation is y = mx + b

m = slope

b= y-intercept

SO: y= -3x - 3

Brainliest?

Answer: 5,356 is the right asnwer

Step-by-step explanation: I did the paper hope this helps :)

Answer:

Captain salamander travels world

He travels In plane =1/4

Whole world = 1/4 -Travel distance in boat

1 or 4/4 = 1/4 - Boat

4/4 - 1/4 = BOAT

3/4 = DISTANCE TRAVELLED IN BOAT

Step-by-step explanation:

The amount of the money that goes into savings is $18.75.

The term savings refers to a portion of your income that you set aside for a particular purpose which is safe keeping for the future.

We are told in the question that 10% of the income goes into savings. If the income is $187.45, then the savings is;

Savings = 10/100 * $187.45 = $18.75

Learn more about savings: https://brainly.com/question/13758840

4:7

Step-by-step explanation:

The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.

We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.

There is a total of 7 tortillas regardless of their type.

Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.

4:7 or 4 flour:7 in total

The ratio of flour tortillas to total tortillas is 4:7.

Answer:

Jouc ÷4 i for number 69263

hope it helps

Answer:

1-1=2

4÷2=2

2÷2=1

69+69=138

100+100=200

7-4=3

Answer:

17 ounce cereal

Step-by-step explanation:

It is only a 53. cent difference so the better option would be the 17 ounce bag

Answer:

See below.

Step-by-step explanation:

The closest numbers I could find were 26+26, and 24+28.

-hope it helps

Answer:

25 and 27

Step-by-step explanation:

given two number are X+2,X+4

X+2+X+4=52

2x+6=52

2X=52-6

X=46/2

X=23

X+2=23+2=25

X+4=23+4=27

hope this will help you

Answer:

Table A

Step-by-step explanation:

Table A doesn't have a constant rate of change because the y values don't increase constantly for each value of x. Hope this helps!!

Ibrahim

Answer:

the correct answer is option A

Step-by-step explanation:

as it doesn't has a constant change.

Answer:

A

D

Step-by-step explanation:

(x,y)→(−y,x)

(-6,3)→(-3,-6)

(2,-3)→(-6,2)→(-3,1)

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have

We know that,

Therefore,

From the figure, we can conclude that :-

[tex]\bold{ 6x - 5 = 4x + 13 }[/tex]

[tex]\sf{ 6x = 4x + 13 + 5 }[/tex]

[tex]\sf{ 6x - 4x = 13 + 5 }[/tex]

[tex]\sf{ 2x = 18 }[/tex]

[tex]\sf{ x = }{\sf{\dfrac{18}{2}}}[/tex]

[tex]\bold{ x = 9 }[/tex]

Hence, The value of x is 9 .

Length of side QR

[tex]\sf{ = 6x - 5 }[/tex]

[tex]\sf{ = 6(9) - 5 }[/tex]

[tex]\sf{ = 54 - 5 }[/tex]

[tex]\bold{ = 49 }[/tex]

Length of side RS

[tex]\sf{ = 4x + 13 }[/tex]

[tex]\sf{ = 4(9) + 13 }[/tex]

[tex]\sf{ = 36 + 13 }[/tex]

[tex]\bold{ = 49 }[/tex]

From above we can say that,

A rhombus have all its side equal to each other . Therefore, the value of x in the rhombus QRST is 9

Therefore,

6x - 5 = 4x + 13

6x - 4x = 13 + 5

2x = 18

divide both sides by 2

2x / 2 = 18 / 2

x = 9

learn more on rhombus here: https://brainly.com/question/19199419

Answer:

(3 laps / minute) (9 minutes) = 27 laps

Step-by-step explanation:

my dad help me out on this one a while ago here you go :)

Answer: 27 i think

Step-by-step explanation: hope i got it right

Answer:

20/27

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 60 and 81 is 3

Divide both the numerator and denominator by the GCD

60 ÷ 3

----------

81 ÷ 3

Reduced fraction:

20/27

Therefore, 60/81 simplified to lowest terms is 20/27.

hope that helps.

Answer:

The simplified fraction form is [tex]\frac{20}{27}[/tex].

Step-by-step explanation:

[tex]\frac{60}{81} = \frac{20}{27}[/tex]

Answer: 1.4 min per min

Step-by-step explanation: sorry if wrong

Answer:

It's B)

Step-by-step explanation:

Unfortnately I don't have time to explain because I'm packing currently but the answers right! I did it in my head.

-Lemony Snicket