2x+y=21;y=-2x+21
please hurry I need this straight away​

Answers

Answer 1

Step-by-step explanation:

2x + y = 21

Solving

2x + y = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

2x + y + -1y = 21 + -1y

Combine like terms: y + -1y = 0

2x + 0 = 21 + -1y

2x = 21 + -1y

Divide each side by '2'.

x = 10.5 + -0.5y

Simplifying

x = 10.5 + -0.5y


Related Questions

Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?

Answers

Answer:

Ranger station 2 is closer by 3.47 miles

Step-by-step explanation:

tan(46)=O/9.8

O (ranger station 2 to distress call)=10.15 miles

sin(46)=9.8/H

H (ranger station 1 to distress call)=13.62 miles

13.62-10.15=3.47 miles

So, ranger station 2 is closer by 3.47 miles

Is -6.743743… a rational or irrational number?

Your answer:

Rational because .743 repeats


Rational because the 6 is negative


Irrational because the number never ends


Irrational because the 6 is negative

Answers

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

x = -6.743743…,

then

1000x = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for x exactly:

1000x - x = -6,743.743743… - (-6.743743…)

999x = -6,737

x = -6,737/999

Name the property illustrated.

(4 + 6) + 9 = 4 + (6 + 9)

Answers

Commutative property.
Mark brainliest

1.02 quiz sinusoidal graphs

Answers

The characteristics of the sinusoidal function can be found from the given

graph of the function.

Correct Response;The minimum of the sinusoidal function is 1

Method used to arrive at the above response;

The sinusoidal function is the sine function that has the following general equation;

y = a·sin(b·(x - h)) + k

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

Required:

The minimum value of the sinusoidal function.

Solution;

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

The minimum value of the function is; 3 - 2 = 1

Learn more about sinusoidal functions here:

https://brainly.com/question/6666829

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.

What is the measure for ECD

Answers

Answer:

118

Step-by-step explanation:

a triangle is 180 degrease and two sides that are equal to each other which means the angles across from them have the same thing.

so. 180-31-31=118

If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8

Answers

Answer:

15/8

Hope it helps

Please mark me as the brainliest

Thank you

Determine the volume of the entire Charter School.​11 points

Answers

Answer:   512m³

Step-by-step explanation:

v = whl

The volume for left building:

v = w x h x l

v = 4 x 10 x 8

v = 320 m³

The volume for right and lower building:

v = w x h x l

v = 8 x 4 x 6

v = 192 m³

The total volume for the entire Charter School is: 320m³ + 192m³ = 512m³

In circle O, chords AC and BD intersect at E. If MCD= 120 and MAB=100, what is BEC?

Answers

Answer:

D. 70°

Step-by-step explanation:

∠BEC is supplementary with ∠BEA

Find the measure of ∠BEA

m∠BEA = 1/2(mCD + mAB)m∠BEA = 1/2(120° + 100°) = 110°

Supplementary angles sum to 180°

m∠BEC + m∠BEA = 180°m∠BEC = 180° - 110° = 70°

Correct choice is D

factorise fully 18x-9

Answers

Answer:

9(2x-1)

Step-by-step explanation:

common factor of both 9 and 18 is 9

thus, you can take a 9 out

9(2x-1)

(to check if it is correct, you can expand it, and if it is the same as original then it is correct )

Answer:

9 (2x-1)

Step-by-step explanation:

Grouping

1. Common factor:

18x-9

Solution:

9 (2x-1)

Va rog ajutați ma cand trebuie sa scriu temele!

Answers

Answer:

nudaw HAHABSASASNA

Step-by-step explanation:[tex]x^{2} g[/tex]

hggggguuuuugs berte bhu jira yuwa

Can someone please help its asking for solution to the system of linear equations ?

Answers

Answer:

there are not solutions because they never cross each other

PLEASE HELP ASAP!!!!

Answers

Answer:

B - symmetrical

Step-by-step explanation:

Skewed grams and Uniform graphs are waaaay different

Skewed is basically all of it is tyo the left or right

Uniform is everything about the same level

The floor of hexagonal barn has a perimeter 1260
feet. The sides of the barn are of equal length. Find
the total area of the floor.

Answers

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

What is the slope between the points (-1,3) and (2, 5)?

Answers

Answer:

2 is the slope

you have to use this: y2-y1

                                     x2-x1

y2= 5  y1= 3

x2= 2  x1= -1

5-3=2

2-1=1

A company produces fruity drinks that contain a percentage of real fruit juice. Drink
A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The
company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than
liters of Drink B. Write a system of equations that could be used to determine the
number of liters of Drink A made and the number of liters of Drink B made. Define
the variables that you use to write the system.

Answers

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is

Help needed for assignment

Answers

The answer is C........

Find the value of x in the angle pair.

Answers

Answer:

x=30

Step-by-step explanation:

180-55=125

5x-25=125

125+25=150

5x=150

5/150=30

x=30

The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches. What is the length of the actual house if the scale factor is 1/80? PLEASE HELP!​

Answers

Answer:3

Step-by-step explanation : because i division

Find the pair of numbers that will multiply to give you the bottom number and add to the top number

Answers

Answer:

4 and 3

4 and 5

4 and 6

3 and -8

-4 and -21

4 and 36

4 and -7

Step-by-step explanation:

1)

4 + 3 = 7

4 × 3 = 12

2)

4 + 5 = 9

4 × 5 = 20

3)

4 + 6 =10

4 × 6 = 24

4)

3 - 8 = -5

3 × (-8) = -24

5)

-4 - 21 = -25

-4 × (-21) = 84

6)

4 + 36 = 40

4 × 36 = 144

7)

4 - 7 = -3

4 × (-7) = -28

hi, please help thank you !
A randomly selected group of 80 high school students was surveyed to see if Math or English was their favorite subject.
Part A: What percent of students surveyed are in the 10th grade? Round your answer to the nearest percent.
A)29%
B)14%
C)71%
D)15%

Answers

Answer:

A because 11 +12 is 23 and A is the closest

I need help with this question it's for a important grade and if anyone can help that will be great.​

Answers

Basically you use the tan/sin/cos rules.

You have your opposite=13 and hypotenuse=33, so use sin to solve it.

sin^-1(opp/hyp)
=sin^-1(13/33)
=23 degree

Step-by-step explanation:

33+13+90=136+?=180

136-180=44

X=44

Which of the following was a consequence of the U.S.-Mexican War?

Idea of Manifest Destiny

Debate over slavery in the territories

Annexation of Texas

Election of James K. Polk as president

Answers

Annexation of Texas or the Devate over slavery in the territories prolly the annexation of texas

A store wants to display 45 boxes of plates. Each shelf can fit 6 boxes of plates. The store will display as many boxes on each shelf as possible.

How many shelves does the store need to display all the boxes?

Answers

OKAY I THINK ITS 9 I THINK BC 45 DIVIDED BY 6 ????

Answer: 7

Step-by-step explanation: because 45 divided by 6 is 7.5

3(x - 7) = 2(x - 12)
explain how u got it too

Answers

Answer:

x = -3

Step-by-step explanation:

3x - 21 = 2x - 24

3x = 2x - 3

x = -3

Answer:

x = 45

Step-by-step explanation:

First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.

3(x - 7) = 2(x - 12)

3x - 21 = 2x - 24    

From here, we solve for x.

3x - 21 = 2x - 24

x - 21 = 24                 (Subtract 2x from both sides)        

x = 45                       (Add 21 to both sides)

A taco charges $2.50 plus a fee of $0.05 for each mile traveled. If the ride costs $7.50, how many miles was the ride?

Answers

Answer:

100 miles

Step-by-step explanation:

7.50-2.50=5.00

100x0.05=5.00

Answer:

2.9 miles or 3 miles

Step-by-step explanation:

1. Add 2.50 & 0.05 (dont forget to line up the decimals!)

2. Divide 7.50 & 2.55

3. You then get your final answer. ( round to the nearest tenths-)

A- im sorry if this is wrong T-T

please help me, if you're correct i'll mark brainliest :)))))

Answers

Answer:

Answer below

Step-by-step explanation:

right

acute

i believe this is correct :)

(+3 120-130'+ 24c +8

Answers

Answer:

whats your question? its hard to answer a question without info man

Step-by-step explanation:

(2/3) to the 3rd power] plus [(3/4) to the zero power]

Answers

Answer:

1-8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)

[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]

We cannot simplify, so 1-8/27 is our answer.

Hope this helps. Have a nice day.

* Countdown
Series 5 / Page 6
Justin has a paper parallelogram with a
lotted line drawn on it. He will use scissors
o cut along the line, forming a triangle and
pentagon
7 cm
8 cm
3 cm
3 cm
Which equation can be used to find p. the
area of the pentagon?
A p= (7 6 / (3.3)
Bp=(7-6)-(3.3)
cp-417.6.3.3)
Dp = (7 + 6) - (3 + 3)

Answers

Answer:

A

Step-by-step explanation:

Area of pentagon = Area of parallelogram - area of triangle

                              = (base * height ) - [tex]\frac{1}{2}*b*h[/tex]

                              = (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3

19+7 divided by 2 - 5 with brackets to equal 8?

Answers

Answer:

8

Step-by-step explanation:

Given that

19 + 7 divided by 2 - 5

So if we solve this we have to apply proper brackets

= (19 + 7) ÷ 2 - 5

= 26 ÷ 2 - 5

= 13 - 5

= 8

After solving this the answer is 8

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