{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
Please help and show me how you did it

Answers

Answer 1

Answer:

[tex]\displaystyle [-2, 7][/tex]

Step-by-step explanation:

You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

[tex]\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.[/tex]

{½[4x + 2y = 6]

{−2x + 2y = 18

>> [tex]\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7[/tex]

Plug this back into the system to get the x-value of [tex]\displaystyle -2.[/tex]

I am joyous to assist you at any time.


Related Questions

Write the percent as a decimal.

78% =

Answers

0.78 or .78 and Brainly says I need twenty characters so here

Answer:

.78

Step-by-step explanation:

i belive its .78 as you can multiply any given number by both and get the same answer

I need help ASAP, first one to get it correct gets 100 points.

Answers

Answer:

3D shape = cone

height = 3 units

diameter = 6 units

Step-by-step explanation:

3D shape = cone

height = 5 - 2 = 3 units

radius = 0 - (-3) = 3 units

diameter = 2 × radius = 2 × 3 = 6 units

Unit 10: Circles Homework 4: Inscribed Angles

Find each angle measure

Answers

Answer:

  6. ∠GHJ ≅ ∠GIJ = 73°

  10.  ∠Q = 89°, ∠R = 123°, ∠S = 91°

Step-by-step explanation:

The relations applicable to these problems are ...

the measure of an inscribed angle is half the measure of the intercepted arcthe sum of the arc measures in a circle is 360°

Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.

__

6.

The missing arc measure GJ is ...

  68° +31° +115° +GJ = 360°

  GJ = 360° -214° = 146°

Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...

  ∠GHJ ≅ ∠GIJ = 146°/2 = 73°

__

8.

∠Q intercepts arc PSR, which is shown as ...

  arc PSR = arc PS +arc SR

  arc PSR = 137° +41° = 178°

The measure of angle Q is half this:

  ∠Q = (1/2)×arc PSR = 178°/2 = 89°

__

∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:

  ∠R = 180° -57° = 123°

__

∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:

  ∠S = 180° -89° = 91°

Which pair of functions are inverses of each other? ​

Answers

Answer:

D

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

One of the construction workers likes to listen to music on the job. Unfortunately, he
also has a bad habit of accidentally dropping his music player into the ravine! Luckily,
his daughter is good with physics and has built a safety balloon for his latest music
player that will release after the music player has been falling for 1 second.
The time it takes for the music player to fall from the bridge to the bottom of the
ravine can be modeled by the following equation:
1-
81 +24
16
where tis the amount of time since the construction worker dropped his music
player
Will the safety balloon release in time?
6. First, how long will it take for the music player to fall to the bottom of the ravine?
Solve the equation and find the values of t. (2 points: 1 point for each value)

Answers

The equation of the ravine function is an illustration of a quadratic function

It will take 1.5 seconds for the music player to fall to the bottom of the ravine

How to determine the time the music player will fall to the bottom?

The equation of the function is given as:

[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]

Take the square of both sides

t² = (8t + 24)/16

Multiply both sides by 16

16t² = 8t + 24

Divide through by 8

2t² = t + 3

Set the equation to 0

2t² - t - 3 = 0

Expand the equation

2t² + 2t- 3t - 3 = 0

Factorize the equation to 0

2t(t + 1)- 3(t + 1) = 0

Factor out t + 1

(2t- 3)(t + 1) = 0

Expand

2t- 3 = 0 or t + 1 = 0

Solve for t

t= 1.5 or t =- 1

Time cannot be negative.

So, we have:

t = 1.5

Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine

Read more about quadratic functions at:

https://brainly.com/question/1214333

-
In the diagram below, UV is parallel to RS. If UT = 4, TS = 9.6, and TV = 6,
find the length of RT. Figures are not necessarily drawn to scale.

Answers

Check the picture below.

Given vectors
ā=(-1,-2), b=(-2,3), C = 3,-1),d =(-3,2)
find the dot product of b and c.
3
0-3
09
0-9

Answers

Answer:

-9

Step-by-step explanation:

b={-2,3)

c=(3,-1)

dot product b.c

=(-2×3) + (3×-1)

=-6+(-3)

=-6-3

=-9

[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]​

Answers

In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:

[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

In the second integral, integrate by parts:

[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

It follows that

[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]

A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.

Answers

Answer:52.7

Step-by-step explanation:

1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128

2)Then we input everything into the law of cosines

Solve on [0,2pi). Answer in order from smallest to biggest
cos x sin x = sin x

Answers

Answer:

0, π

Step-by-step explanation:

cos x sin x = sin x

cos x sin x - sin x = 0

sin x (cos x - 1) = 0

sin x = 0, x = 0, π

cos x - 1 = 0

cos x = 1, x = 0

So answers: 0, π

What is the value if X? and how to find exterior angles. ​

Answers

Sum of exterior angle= 360 degree

(12 pts) Choose whether the graphs of the following situations would have a positive slope, a negative slope, or a slope of zero
a. The amount of water in a bathtub as it is being filled
b. The temperature of a hot drink that you left sitting on your desk
c. The number of light bulbs on the Halloween string lights around your window
d. Power in your cell phone battery as you stream a video

Answers

Answer:

  a. positive

  b. negative

  c. zero

  d. negative

Step-by-step explanation:

You want a description of the sign of the slope of a graph of ...

amount of water in a filling bathtubtemperature of a cooling drinknumber of lights in a stringpower in a battery being used

Slope

The slope of a graph is the "rise" divided by the "run." Generally, we choose the direction of "run" to be to the right, so the "rise" will be positive when the graph shows an increasing value, and it will be negative when the graph shows a decreasing value. When the rise is zero (the value is neither increasing nor decreasing), the slope is zero.

Water

A graph of the volume of water in a filling tub will show it starts at some low value and increases over time. Generally such a graph will have volume on the vertical axis, and time on the horizontal axis. Since the volume is increasing, the slope is positive.

Temperature

As a hot drink cools, its temperature decreases. The graph of temperature will generally be drawn with temperature on the vertical axis, and time on the horizontal axis. Since the temperature is decreasing, the slope will be negative.

Lights

We presume there is no process going on that is changing the number of light bulbs in the string of lights, so the value is constant. It is neither increasing nor decreasing, so the slope of its graph will be zero.

Power

If we presume your cell phone is not connected to a charger while it is streaming video for you, then we can assume the power in the battery is decreasing. The slope of the graph of battery power will be negative.

(If the phone is connected to a charger, the slope may be zero or positive, depending on the power output of the charger. One of my phone chargers is "low power," so the battery power does not increase unless the phone is turned off (not playing video).)

Help me the question 1 in my picture

Answers

Answer:

Number 1 is b

I found the answer on a website

20 POINTS!!!
If A varies directly as B and inversely as C and when A = 6, B = 10 and C = 15. Calculate C when A = 92 and B= 107

Answers

Answer:

C = [tex]\frac{963}{92}[/tex]

Step-by-step explanation:

given A varies directly as B and inversely as C then the equation relating them is

A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation

to find k use the condition A = 6 , B = 10 , C = 15 , then

6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )

90 = 10k ( divide both sides by 10 )

9 = k

A = [tex]\frac{9B}{C}[/tex] ← equation of variation

when A = 92 and B = 107 , then

92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )

92C = 963 ( divide both sides by 92 )

C = [tex]\frac{963}{92}[/tex]

Answer:

C = 963/92

Step-by-step explanation:

Given :

A ∝ BA ∝ 1/C

Finding the constant of variation, k

A = kB/C6 = k(10)/(15) [Given in 1st part of question]6 = 2k/3 2k = 18k = 9

Finding C

Using the same equation, and new values of A and B, we can find CA = kB/CC = kB/AC = 9 x 107 / 92C = 963/92

The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?

Answers

Answer:

The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm. 

Step-by-step explanation:

Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon. 

5 : 40 PM

Explanation:

   11 : 05 P.M

(-)  5 : 25

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

5 : 40 PM

At 5 : 40 PM the premier party started.

What is the first term of the arithmetic series?
a1 =
143
⇒ 8
What is the 20th term of the arithmetic series?
a20 =
⇒ 46
How many stitches are in the first 20 rows of the shawl?
⇒ 540 stitches

Answers

I don't think this is wrong

The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ft, find it’s area

Answers

Answer:

Area of rectangle is 63 feet²

Step-by-step explanation:

Given:

The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ft

To Find:

Area of the rectangle.

Solution:

Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:

Using formula:

Perimeter of rectangle = 2(L + B)

→ 32 = 2(x + 2 + x)

→ 32 = 2(2x + 2)

→ 32 = 4x + 4

→ 32 - 4 = 4x

→ 28 = 4x

→ 28/4 = x

→ 7 = x

Hence,

Length of the rectangle = 2 + x = 9 feetWidth of the rectangle = x = 7 feet.

Now,

→ Area of rectangle = Length × Width

→ Area fo rectangle = 9 × 7

→ Area of rectangle = 63 feet²

Hence, Area of the rectangle is 63 feet²

Answer:

63 sq.ft

Step-by-step explanation:

As it is given that, the length of a rectangle is 2ft longer than it’s width and perimeter of the rectangle is 32 ft.

So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .

Now,

[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]

[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]

[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]

[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]

Therefore width of the rectangle is 7 ft .

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]

Now, we are to find the area of the rectangle :

[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]

[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]

[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]

Therefore,

The area of the rectangle is 63 ft².

Question 1 of 10
Is the graph a linear function, nonlinear function, or relation?
AY
O A. Nonlinear function
OB. Relation
C. Linear function
PREVIOUS

Answers

Answer:

A. Nonlinear function

Step-by-step explanation:

It is not a linear function because :-

You cannot write an equation because change in y-value for every x-value is not consistentIt cannot be relation as there is no correlation between the x and y values in the graphIt is a nonlinear function

The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?

Answers

Answer:

176cm

400 times

Step-by-step explanation:

4² - 5² × 2³ what is the value of the expression.

Answers

[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]

[tex]16 - 25 \times 8[/tex]

[tex]16 - 200[/tex]

[tex] - 184[/tex]

Hello!

Let's evaluate this expression.

4²-5²×2³

4²=16

16-5²×2³

5²=25

16-25×2³

2³=8

16-25×8

According to PEMDAS, the next operation is multiplication (M)

16-200

Subtract:

-184

Hence, the simplified expression is equal to

[tex]\boxed{\boxed{\bold{-184}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Which statement about the following system is correct?
y = - 2x + 5
2x + y = – 5
-

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.

Therefore, the correct choice is ~

D. The system is inconsistent because it has no solution.

What is a polygonal curve

Answers

Answer: It is a connected series of line segments such as the image shown below.

Hope this helps!

a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second

Answers

Answer:

3

Step-by-step explanation:

You just divide 13.5 by 4.5, and you get 3 yards per second.

Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles

Answers

The probability that Shayla will select two red marbles from the bag is 1/16.

What is the probability?

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that Shayla will select two red marbles  = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)

5/20 x 5/20 = 1/16

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

The questionnnnnnnnn

Answers

i’m pretty sure the answer is C

Answer:

C

Step-by-step explanation:

C because 25% + 10% = 35% and 10% + 25% is also 35%

Complete the equation that represents the proportional relationship shown in the table.

Enter your answer in the box.

y =

x y
2 8
3 12
7 28

Answers

Answer:

The x side is multiplying four each time to get the y side example 2x4=8 and so on

The equation would be x x 4= y

So hope this helps

The equation that represents the proportional relationship from the table is y=4x.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given table is

x     y

2    8

3    12

7    28

Here, we can see when x increases y value also increases.

So, x and y are directly varies

Now, y∝x

y=kx -----(i)

k=y/x

k=8/2

k=4

Substitute k=4 in equation (i), we get

y=4x

Therefore, the equation that represents the proportional relationship from the table is y=4x.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

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A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.

please show the work thank you

Answers

Answer:

Solve the following equation

Step-by-step explanation:

You need to make an equation of this

Let x be the number of computers made

1600 × x = (950 × x) + 211250

When both sides are equal, that is the break even

The square of a difference of numbers is the different of their squares?

Always true

Sometimes true

Never true

Answers

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

Answer quickly please !!

Answers

Answer: 65 degrees

            Using the property of vertical angles, the measurement of angle x is going to be 65 degrees.

            Single angle x is directly opposite of the 65° angle given, we can figure out what angle x will be as they will be congruent.

By using the Vertical Angle Theorem, we can say

   --> x = 65

Definition of Vertical Angle Theorem: states that the opposite (vertical) angles of two intersecting lines are congruent.

A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x

Answers

Answer:

x= 3.95

Step-by-step explanation:

Hypotenuse = 9 cm

side = (x+5) cm

other side = (x-3) cm

Pythagoras theorem:          Hypotenuse² = Base² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = (-b±√b²-4ac) / 2a

x = (-4±√16+376) / 2(2)

x = (3.95 and -5.95)

   We ignore the negative  -5.95

So x = 3.95

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