What is the solution to the system of equations? {6x−2y=−144x−3y=−31 (−6, 11) (2, 1) (−2, 1) (2, 13)

Answers

Answer 1

Answer:

Answer:

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

6x-2y=-144x-3y=-31

Write as a system of equations.

6x-2y=-31

-144x-3y=-31

Multiply both sides of the equation by 24.

144x-48y=-744

-144x-3y=-31

Sum the equations vertically to eliminate at least one variable.

-51y=-775

Divide both sides of the equation by -51.

y=775/51

Substitute the given value of y into the equation 6x-2y=-31.

6x-2x775/51=-31

Solve the equation for x.

x=-31/306

The possible solution of the system is the ordered pair (x , y).

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:


Related Questions

True/False Worth
points)
(05.02 LC)
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
O False

Answers

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Solve for x. 4x−4−3x2−16=6x+4 −112 372 −432 112

Answers

Answer:

Input interpretation:

solve x×4 x - 4 - 3 x^2 - 16 = 6 x + 4 - 112×372 - 432×112

Results:

x = 3 - i sqrt(90015)

x = 3 + i sqrt(90015)

I nedd help on this please

Answers

Answer:

c  sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

Step-by-step explanation:

The distance formula is

d = sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

It is the difference between the coordinates.  It is based on the Pythagorean theorem

The scale on a map is 1cm for every 400 km. If Maine and Japan are 22cm apart on the map, what is the distance between Maine and Japan? Please help!!!!!

Answers

Answer:

8800km

Step-by-step explanation:

If 1cm = 400km

then you have to substitute in 22cm instead of 1cm making it..

22x400=8800.

Hope this helps.

So I’m not great in math at all I spent 15 min crying because I don’t get it so anyone pls help

Answers

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 13 and h = 4 , thus

A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A

Answer:

A, 26

Step-by-step explanation:

Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.

Lydia graphed ΔLMN at the coordinates L (0, 0), M (2, 2), and N (2, −1). She thinks ΔLMN is a right triangle. Is Lydia's assertion correct? Yes; the slopes of segment LM and segment LN are opposite reciprocals. No; the slopes of segment LM and segment LN are not opposite reciprocals. Yes; the slopes of segment LM and segment LN are the same. No; the slopes of segment LM and segment LN are not the same.

Answers

Answer:

No; the slopes of segment LM and segment LN are not opposite reciprocals

Step-by-step explanation:

slope of LM: (2 - 0)/(2 - 0)  = 1

slope of LN: (-1 - 0)/(2 - 0) = -1/2

Two lines are perpendicular when the multiplication of their slopes is equal to negative one, that is, they are opposite reciprocals. In this case:

slope of LM*slope of LN = 1*(-1/2) = -1/2

The correct option is

No; the slopes of segment LM and segment LN are not opposite reciprocals

The calculation is as follows:

slope of LM: [tex](2 - 0)\div (2 - 0)[/tex]  = 1

And,  

slope of LN: [tex](-1 - 0)\div (2 - 0)[/tex]= [tex]-1\div 2[/tex]

Here two lines should be perpendicular at the time  when the multiplication of their slopes is equalivalent to negative one.  

So,  

= slope of LM × slope of LN

[tex]= 1\times (-1\div 2)\\\\ = -1\div 2[/tex]

Learn more: https://brainly.com/question/9122916?referrer=searchResults

Which of the following statements correctly describes the items shown below? (Zoom on to see)

Answers

Answer:

D

Step-by-step explanation:

Evaluate the expression for
x = 8, y = 4:
x + 10/y+5

Answers

Answer:

2

Solution,

X=8

y=4

Now,

[tex] \frac{x + 10}{y + 5} \\ = \frac{8 + 10}{4 + 5} \\ = \frac{18}{9} \\ = 2[/tex]

hope this helps...

Good luck on your assignment..

X=8 Y=4
8+10/4+5
18/9
=2

If f(x) = 4x - 12, what is f(2)?
O A. -4
O'B. 4
O c. -20
D. 8
Helpppp plzzz

Answers

Answer:

-4

Step-by-step explanation:

f(x) = 4x - 12

Let x=2

f(2) = 4*2 - 12

     = 8-12

    = -4

hi what is the answer for this

Answers

Step-by-step explanation:

first find the side length by

considering a triangle under

the square

[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]

Change the percent to a decimal equivalent.
9 7/10

Answers

Answer:

0.97

Step-by-step explanation:

97 /100

You can round once from behind to convert 97% to 0.97

9 7/10 equals 9.7

sorry if the answer is wrong

Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x). Question 11 options: A) (ƒ + g)(x) = x2 + 6x + 3 B) (ƒ + g)(x) = –x2 + 6x + 7 C) (ƒ + g)(x) = x2 + 2x + 3 D) (ƒ + g)(x) = –x2 + 2x – 7

Answers

Answer: C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Which equation is quadratic in form

Answers

Answer:

The answer is A because the quadratic equation formula

Step-by-step explanation:

because the quadratic equation formula is

ax^2+bx+c=0

and when you sub A into it, you get it in the needed form

Answer:

The Answer is A

Step-by-step explanation:

Use the relationship between the side lengths and the
angles opposite those sides. What are the smallest and
largest angles of ALMN?
The smallest angle of the triangle is
The largest angle of the triangle is

Answers

Answer:

Smallest angle - ∠M

Largest angle - ∠N

Step-by-step explanation:

In a triangle opposite side of a largest angle is largest and opposite side of a the smallest angle is smallest.

In the given triangle LMN,

Side lengths of the triangle have been given as,

LM = 27 in.

MN = 25 in.

LN = 24 in.

Relationship in these sides will be,

LM > MN > LN

Therefore, relationship in their opposite sides will be,

∠N > ∠L > ∠M

The smallest angle of the triangle is angle M.

And the largest angle of the triangle is angle N.

Solve x/-4 - (-8)=12
16
80
-80
-16

Answers

Answer:

-80

Step-by-step explanation:

Solve for x for the x value.

-80 is the value of x

the students in Mrs. Kranger's class are holding a car wash to raise money for their end- of- year field trip. they washed 45 cars by noon, and their goal is to wash 110 cars by the end of the day. write and solve an addition equation to find c, the number of cars they still need to wash to meet their goal.

Answers

Answer:

45 + c = 110

c = 65

Step-by-step explanation:

110 - 45 = 65

Please mark as brainliest!

Answer:

They need to wash 65 more cars to reach their goal.

Step-by-step explanation:

45+c=110

subtract 45 from both sides

c=65

A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Birth Weight and number line from 8 to 9 in increments of 1 tenth labeled Birth Weight (in pounds.) with zero dots over 8, zero dots over 8 and 1 tenth, 2 dots over 8 and 2 tenths, 2 dots over 8 and 3 tenths, 2 dots over 8 and 4 tenths, 3 dots over 8 and 5 tenths, zero dots over 8 and 6 tenths, 1 dot over 8 and 7 tenths, zero dots over 8 and 8 tenths, 1 dot over 8 and 9 tenths, and zero dots over 9 box plot with minimum value 8 and 3 tenths, lower quartile 8 and 4 tenths, median 8 and 5 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 5 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 3 tenths, lower quartile 8 and 5 tenths, median 8 and 6 tenths, upper quartile 8 and 7 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths

Answers

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X     Frequency

8        0

8.1        0

8.2        2

8.3        2

8.4        2

8.5        3

8.6        0

8.7         1

8.8        0

8.9         1

 9           0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],

Q₁ = 8.3.

The median value is,

[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]

Median = 8.4

The upper quartile is,

[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

I took the practice test

Which diagram can be used to prove AABC – ADEC using similarity transformations?
А
E
B
D
А
D
В
С

Answers

The diagram that can be used to prove [tex]\triangle ABC \sim \triangle DEC[/tex] is (b)

Similar triangles may or may not have congruent corresponding sides, but the corresponding angles must be congruent.

The above means that,

All three angles of the two triangles must be congruentThe three sides must be in equivalent proportions.

Using the above highlight, we can conclude that the diagram that can be used to prove [tex]\triangle ABC \sim \triangle DEC[/tex] is (b) see attachment

Read more about similar triangles at:

https://brainly.com/question/9166513

Given area of a rectangle: 7x^2+57x+8
Find Perimeter:

Answers

Answer:

Perimeter of the rectangle is 16x+18 units.

Step-by-step explanation:

The area of rectangle is

[tex]7x^2+57x+8[/tex]

First we have to find the factor form of above expression.

Splitting the middle term, we get

[tex]7x^2+56x+x+8[/tex]

[tex]7x(x+8)+1(x+8)[/tex]

[tex](x+8)(7x+1)[/tex]

Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).

Perimeter of a rectangle is

[tex]Perimeter=2(l+b)[/tex]

[tex]Perimeter=2[(x+8)+(7x+1)][/tex]

[tex]Perimeter=2[8x+9][/tex]

[tex]Perimeter=16x+18[/tex]

Therefore, the perimeter of the rectangle is 16x+18 units.

If f = {(2,5), (3, 2) (4, 6), (5, 1), (2, 2)), then f is a function.

Answers

Answer:

false

Step-by-step explanation:

f is not a function because you can see that two of the points are (2,5) and (2,2). A function can only have one corresponding y-coordinate for every x-coordinate and since this is not the case here, f is not a function.

Helpppppppppppppppppppp solve for x

Answers

Answer:

x=35

Step-by-step explanation:

Since a quadrilateral's interior angles add up to 360°, we get this:

360-85-20=360-4x+x

340-85=360-3x

255=360-3x

-105= -3x

Multiply both sides by -1

105=3x

3x=105

Divide both sides by 3

x=35

CA=2,AB=3, The angle of C=90 degrees what is the angle of B?

Answers

Answer:

m∠B ≈ 41.81°

Step-by-step explanation:

If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,

sin∅ = 2/3

∅ = sin^-1(2/3)

∅ = 41.8103

Khan academy question

Answers

Step-by-step explanation:

There it is..................

Answer:

(2,5)

Step-by-step explanation:

Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300 followed by monthly payments of $110. The two options accumulate the same amount of interest and require the same number of monthly payments. What is the amount of interest for this loan?

Answers

Answer: $500

Step-by-step explanation:

Hi, since both credit options accumulate the same amount of interest:

1000+125x=1300+110x

Solving for x(number of months)  

125x-110x =1300-1000

15x = 300

x =300/15

x= 20 months

Replacing x =25 in one equation:

1000+125x =

1000+125(20)=

1000+2500= $3500

Finally, we have to subtract the amount of the purchase (3000) to the result obtained:

3500-3000=$500

Feel free to ask for more if needed or if you did not understand something.  


An electrician uses the function f(x) = 60 + 40x to calculate the total cost, in dollars, for a service call that takes x hours to
complete. What does the coefficient 40 represent?
A)
The electrician works 40 hours.
B)
The electrician charges $40 per hour.
Eliminate
The electrician drives 40 miles to work.
D)
The electrician charges a $40 trip charge.

Answers

Answer:

(B) The electrician charges $40 per hour.

Step-by-step explanation:

Total cost=fixed cost + variable cost

F(x)=60+40x

Fixed cost =60

Variable cost=40x

x=hours of service

40=40 dollar per hour charge

The coefficient 40 represent the electrician charge of $40 per hour

(B) The electrician charges $40 per hour.

|7t|=35 solve the equation​

Answers

Answer:

t = 5,-5

Step-by-step explanation:

35/7 = 5

because it is an absolute value, it will always be positive:

-35/7 = -5

Answer:

T = 5,

Step-by-step explanation:

7T = 35

divide 7 by both

T = 5

hope this helps

Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?

Answers

Answer:

[tex]6\:\mathrm{pages}[/tex]

Step-by-step explanation:

[tex]3 \times 4 = 12[/tex]

[tex]1\frac{1}{2} \times 4=6[/tex]

Answer:

6 pages

Step-by-step explanation:

1.5 pages         x pages

--------------- = ------------

3 minutes         12 minutes

Using cross products

1.5 * 12 = 3x

Divide each side by 3

18 /3 = 3x/3

6 =x

6 pages

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x ≈ 6.9

Step-by-step explanation:

We use tan∅ to solve this:

tan21° = x/18

18(tan21°) = x

x = 6.90955

Please Help! ASAP C: :D

Answers

Answer:

C). Zero

Step-by-step explanation:

This is a pretty simple question.

Any number multiplied by zero will be zero, and zero cannot have a positive or negative sign, which is why zero has its own sign, which is known as the Sign of Zero.

It’s 0 because of PEMDAS
The rule is you go left to right on an equation so the answer that you get from 4.3 (-3.2) you would have to multiply it by zero and anything multiplied by zero equals zero

Yellow trapezoid equals to ________? not 2 or 3​

Answers

Answer:

The yellow trapezoid equals to 6.

Step-by-step explanation:

Assuming that two green items equals to two purple items and one yellow trapezoid, we can make the equation 5+5=2+2+x. Simplifying both sides, we get 10=4+x. If we subtract 4 from both sides and isolate x, we get that x=6.

Answer:

yellow trapezoid = 6

Step-by-step explanation:

since the green crescent equals 5, and there are two on the left side, that would equal 10, so the right side also should equal 10 too. The purple teardrops equal two, and there are two on the right side, so the total of teardrops on the right side is equal to 4. Since both sides need to equal to 10, and we only have 4, we need to find the amount of the yellow trapezoid. To do that you need to subtract 4 from 10, to get 6, which is the amount of the yellow trapezoid.

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