What is the x-value in the solution to the system of linear equations?
y = 1/2x + 2
y = -3/2x -2

Answers

Answer 1

Answer: The value of x is  -2.

Step-by-step explanation:

y= 1/2x + 2

y= -3/2x-2

1/2x + 2  = -3/2x -2

         +2               +2

1/2x  + 4 = -3/2x

-1/2x            -1/2x

          4= -2x

   x= -2      


Related Questions

6+1•4-3=? Can someone explain

Answers

Answer: 7

Step-by-step explanation:

1 x 4 = 4

6+4= 10

10-3=7

cube of the number -13/15

Answers

Answer:

[tex]-\frac{2197}{3375}\\\mathrm{Decimal:\quad }\:-0.65096[/tex]

Step-by-step explanation:

[tex]-\left(\frac{13}{15}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{13}{15}\right)^3=\frac{13^3}{15^3}\\=-\frac{13^3}{15^3}\\13^3=2197\\=-\frac{2197}{15^3}\\15^3=3375\\=-\frac{2197}{3375}[/tex]

Answer:

[tex] = \frac{ - 2197}{3375} [/tex]

Step-by-step explanation:

[tex]cube = {x}^{3} \\ (\frac{ - 13}{15}) ^{3} \\ \frac{ - 13}{15} \times \frac{ - 13}{15} \times \frac{ - 13}{15} \\ \\ = \frac{ - 2197}{3375} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The number i can be raised to whole number powers.

Look at the first four powers of i shown, and then use the drop-down menus to evaluate the expressions below.

Answers

Answer:

[tex]i^{8}=1[/tex] and [tex]i^{34}=-1[/tex] will be the answer.

Step-by-step explanation:

Since i = [tex]\sqrt{(-1)}[/tex]

i² = (-1)

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

[tex]i^{4}=(-1)^{2}[/tex] = 1

[tex]i^{8}=1^{2}[/tex] = 1

[tex](i^{8})^{2}=1[/tex]

[tex]i^{34}=[i^{17}]^2[/tex]

     = [tex](i^{8}\times i^{8}\times i)^{2}[/tex]

     = [1 × 1 × √(-1)]²

     = 1² × 1² × [√(-1)]²

     = (-1)

Therefore, [tex]i^{8}=1[/tex] and [tex]i^{34}=-1[/tex] will be the answer.

Renu wants to put a border of lace around a rectangular table cover 4 m long and 2 m wide..

Find the length of the lace required for the table cover..

Answers

Answer:12m

Step-by-step explanation:

The length of the lace required will be the same as that obtained by calculating the perimeter of that table, so p= (L+W)×2

Hence, P=(4m+2m)×2

P= 12m

MATH HOMEWORK HELP PLEASE

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]r=\frac{\frac{4}{25} }{\frac{2}{5} } \\r=\frac{4}{25} \times \frac{5}{2} =\frac{2}{5} <1\\s_{\infty}=\frac{a}{1-r} =\frac{\frac{2}{5} }{1-\frac{2}{5} } =\frac{2}{5} \times \frac{5}{3} =\frac{2}{3}[/tex]

is this the right answer for number 12?

Answers

Answer:

figure it out urself

Step-by-step explanation:

Explain the difference between a nonnumeric growing pattern and a nonnumeric repeating pattern.

Answers

Answer: nonnumeric growing patteren: A repeating pattern has a pattern unit that repeats over and over again. nonnumeris repeating patteren: A growing pattern gets bigger in the same way over and over again.

Sharia surveyed students and teachers to determine how long it takes each person, in minutes, to get ready for school in the morning. The plots below show the results of the survey. Which statements accurately compare the two data sets? Select three options

Answers

Answer:

B),D),E)

Step-by-step explanation:

Trust

Answer:

B,D,E

Step-by-step explanation:

I got it correct on the quiz

A cube fish tank has a side length of 12 inches. What is the surface area of the fish tank, including the base and lid? Answer without units

Answers

Answer:

864

Step-by-step explanation:

Because the tank is a cube, all 6 faces have dimensions of 12 by 12. Therefore, the surface area is 6 * (12 * 12) = 864 (in²)

Find GCF=greatest common factor.

Answers

Answer:

1. 24/36 2. 20/35

G.C.F=2/3 G.C.F=4/7

All the answers is good!

Find the approximate perimeter of polygon CODIFYCODIFYC, O, D, I, F, Y plotted below.

Round your final answer to the nearest hundredth.

please helppp

Answers

Answer:

49.81

Step-by-step explanation:

the formula I used is distance=[tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})}[/tex]

Lets say we are finding the distance from c to y

c=(-6,9)

y=(5,9)

cy=[tex]\sqrt{(5-(-6))^{2}+(9-9)^2 }[/tex]

cy=[tex]\sqrt{(11)^2+(0)^2}[/tex]

cy=[tex]\sqrt{121+0}[/tex]

cy=[tex]\sqrt{121}[/tex]

cy=11

And you can find the distance between y and i, i and d, d and o, o and c, using the same formula.

After solving the distance of all I got

yi=16.55294536

id=1

do=9.219544457

oc=12.04159458

After you add them all up you get 49.8140844 which rounded to the nearest hundredth is 48.81.

Thank you and I hope that is helpful.

Sorry that is actually wrong

Check out the other answer.

Answer:

51.53

Step-by-step explanation:

Pls help me with this question

Answers

Answer:

V = h·w·t cm³

Step-by-step explanation:

The volume is calculated no different than you would with a box.

V= length x width x height and yes centimeters cubed Answer:

Step-by-step explanation:

HElP asap GIVING BRAINLIST HELP!!!!

Answers

Answer:

1. x = 0

2. x= 0

3. x = 10

4. x = -4

5. x = 0

6. x = -1

Can someone help me with this math homework (8th grade algebra)

Answers

What do you need help with. I will do it

Please answer this question ;(

Answers

Answer:

20 miles = 32 kilometers

64 kilometers = 40 miles

Step-by-step explanation:

Jen and Holly are on the Athletic council and want to put a blow up version on the school mascot in the parking lot. They need to tie it down.
Jen’s rope is 7.8 m long and makes an angle of 360 with the ground. Holly’s rope is 5.9 m long. The wind is really strong so they will secure both ropes to the left of the mascot. How far to the nearest tenth of a metre, is Jen from Holly?

Answers

Answer:

2.6 m

Step-by-step explanation:

In the attached diagram

Consider Triangle ABC

[tex]\sin36^\circ =\dfrac{|BC|}{7.8} \\|BC|=7.8*\sin36^\circ\\|BC|=4.5847$ m[/tex]

Our goal is to determine the distance of Jen (at point A) to Holly (at Point D).

In Triangle ABC

[tex]\cos 36^\circ =\dfrac{|AC|}{7.8} \\|AC|=7.8*\cos36^\circ\\|AC|=6.3103$ m[/tex]

In Triangle BDC

Applying Pythagoras Theorem

[tex]|BD|^2=|BC|^2+|CD|^2\\5.9^2=4.5847^2+|CD|^2\\|CD|^2=5.9^2-4.5847^2\\|CD|^2=13.7905\\|CD|=\sqrt{13.7905}=3.7136$ m[/tex]

Now, |AC|=|AD|+|DC|

6.3103=|AD|+3.7136

|AD|=6.3103-3.7136

|AD|=2.5967

|AD|=2.6m (correct to the nearest tenth of a metre)

The distance of Jen from Holly is 2.6m.

A company rents water tanks shaped like cylinders. Each tank has a diameter of 8 feet and a height of 3 feet. The cost is $5 per cubic foot. How much does it cost to rent one water tank?

Answers

Answer:

$754.05

Step-by-step explanation:

We have to find the volume of one tank and multiply it by the cost of renting the tank per cubic foot.

The volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

Each tank has a diameter of 8 feet (radius = 4 feet) and a height of 3 feet.

The volume of the tank is therefore:

[tex]V = \pi * 4^2 * 3 = 150.81 ft^3[/tex]

The cost of renting is $5 per cubic foot.

Therefore, the cost of renting a tank is:

150.81 * 5 = $754.05

It costs $754.05 to rent a tank.

A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3, 4)?

Answers

Answer:

(9,12).

Step-by-step explanation:

If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as

[tex]P(x,y)=P'(kx,ky)[/tex]

It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,

[tex]P(x,y)=P'(3x,3y)[/tex]

We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.

[tex]P(3,4)=P'(3(3),3(4))[/tex]

[tex]P(3,4)=P'(9,12)[/tex]

Therefore, the image of a vertex located at (3, 4) is (9,12).

Answer: 9,12

Step-by-step explanation:

What is the result of subtracting the second equation from the first -2x+7y=-5 -2x-4y=6

Answers

Answer:

0x+11y=-11

Step-by-step explanation:

hope this helps

plzz mark me brainliest

Answer:

y=-1

Step-by-step explanation:

-2×+7y=-5

- -2×-4y=6

11y=-11

But you don't leave the answer like that

You need to simplify

So

11y=-11

y=-11

11

y=-1

Rosanne is training for the Austin marathon, so she plans to run 10 miles in her neighborhood this weekend. It usually takes her an hour to run 6 miles. If she generally drinks 0.5 cups of water every 1 3 of an hour, how many cups of water will she drink on her run?

Answers

Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  [tex]\frac{1}{3}[/tex]  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   [tex]1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}[/tex]

for    [tex]10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}[/tex]

[tex]=2.5\ \text{cup}[/tex]

Answer:

2.5

Step-by-step explanation:

Mary signed up for a 5K race. It is called a 5K because it is 5 kilometers long. Mary doesn’t know how far a kilometer is and wants to visualize this distance in miles. How many miles will she have to run for the race?

Answers

Answer:

its 3.1 miles hope this helped :)

You roll a fair 6-sided die.
What is P(not 3)?

Answers

Answer:

The answer would be 5/6.

Step-by-step explanation:

Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?

Part 2***

Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

Not all parallelograms are rhombuses, some parallelograms include rectangles, squares, hexagons, etc.

No. Jan is not correct. So, all parallelograms are not rhombuses.

What is a rhombus?

A rhombus is a parallelogram because the opposite sides are parallel but every parallelogram is not a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

here, we have,

We need to identify the properties of the given figure in order to answer why one figure can not be the other one:

A rhombus has all sides equal as well as parallel but all angles might not be right angles.

A square has all four sides equal and has 4 right angles.

A rectangle has equal opposite sides and 4 right angles.

A parallelogram has opposite parallel sides.

Hence, a rhombus can be a parallelogram because the opposite sides are parallel but every parallelogram can not be a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Not all parallelograms are rhombuses, some parallelograms include rectangles, squares, hexagons, etc.

To know more about rhombus here

brainly.com/question/12665650

#SPJ3

express x in term of y:x/7+2y=6​

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] + 2y = 6

Multiply through by 7 to clear the fraction

x + 14y = 42 ( subtract 14y from both sides )

x = 42 - 14y

help me i dont understand


Answers

Answer:

4/8 +6/8 I just verfying the other person's. ok

Step-by-step explanation:

I did it on a calculator ;b

PLEASE MARK FallOutChild brainliest!!

Answer:

4/8 + 6/8 = 10/8 or 1 2/8, 1 1/4

Step-by-step explanation:

When it asks for like units, it's asking for the same denominator value. You can not add fractions together when they do not have a common denominator

if you multiply the denominator and numerator in 2/4 by 2, you get 4/8

Result of 4/8 + 6/8 gives you an improper fraction of 10/8

Hope this Helps!

What is the measure of angle TQR?

Answers

Angle TQR equals to 70 degrees

First you have to find the value of x. An inscribed quadrilateral in a circle has it that opposite angles are supplementary.

So set the angles STQ and SRQ to 180.

3x+5+5x+15=180
8x+20=180
8x=160
x=20

Then find the angles of the three by substituting 20 as x.

Angle STQ=65
3(20)+5
60+5
65

Angle RST=110
4(20)+30
80+30
110

Angle SRQ=115
5(20)+15
100+15
115

Exterior angles of a quadrilateral equal to 360 when added together. So subtract the values from 360 to get the missing length.

360-115-110-65=70

So angle TQR=70

find the radius!! hurry

Answers

Answer:

r = 18.8

Step-by-step explanation:

We use the circle sector area formula and solve for the radius.

I attached the work to your problem. See the attached file.

Someone please help me

Answers

I think the slope is 4.

slope=rise/run

=20/5=4

A sine function can be used to model light waves. Green light has a wave length, or period of about 520 nm. Which equation best models green light?


A.) y=sin 260/pi theta

B.) y= sin pi/520 theta

C.) y= sin 520/pi theta

D.) y= sin pi/260 theta


Please help

Answers

Answer:

[tex] y = A sin (kx \pm wt)[/tex]

Where k represent the number of wave [tex]k =\frac{2\pi}{\lambda}[/tex] and [tex] w =\frac{2\pi}{T}[/tex] represent the angular frequency with T the period.

For this case we know tha T = 520 nm

And the angular frequency would be given by:

[tex] w = \frac{2\pi}{520}= \frac{pi}{260}[/tex]

So then the possible anwer for this case would be:

D.) y= sin pi/260 theta

Since is the only option with satisfy the general equation of a wave.

Step-by-step explanation:

Since the sine function can be used to model light waves we can use the following general expression:

[tex] y = A sin (kx \pm wt)[/tex]

Where k represent the number of wave [tex]k =\frac{2\pi}{\lambda}[/tex] and [tex] w =\frac{2\pi}{T}[/tex] represent the angular frequency with T the period.

For this case we know tha T = 520 nm

And the angular frequency would be given by:

[tex] w = \frac{2\pi}{520}= \frac{pi}{260}[/tex]

So then the possible anwer for this case would be:

D.) y= sin pi/260 theta

Since is the only option with satisfy the general equation of a wave.

From a group of 7 men and 6 women, five people are to be selected to form a committee. How many different committees can be formed from this group?

Answers

You can form 6 groups
I hope it was helpful
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