Please help
Solve the system of equations shown below.

Please HelpSolve The System Of Equations Shown Below.

Answers

Answer 1

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

2x - 6y = - 12 → (1)

x + 2y = 14 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate x

- 2x - 4y = - 28 → (3)

Add (1) and (3) term by term to eliminate x

- 10y = - 40 ( divide both sides by - 10 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

2x - 6(4) = - 12

2x - 24 = - 12 ( add 24 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

solution is (6, 4 )


Related Questions

The roof rafter of a house has been raised to a height of 13 yards at the ridge. Half of the length of the run measures 9 yards. Find
the length of the rafter. Round to the nearest 100th.

Answers

Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]

a= 13

b= 9

c= ? ( length)

[tex]13^{2} +9^{2} =?^{2}[/tex]

[tex]13^{2} =169[/tex]

[tex]9^{2} =81[/tex]

[tex]169+81=?^{2}[/tex]

[tex]250=?^{2}[/tex]

[tex]\sqrt{250}=15.811[/tex]

[tex]?=15.81[/tex]

OAmalOHopeO

Please help I will give you Brainlyest

Answers

Answer:

a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.

b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.

c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.

helppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -1

Step-by-step explanation:

14x + 2 = 9x -3

Transpose

14x -9x = -3 -2

5x = -5

x= -5/5

x = -1

Answer:

x = -1

Step-by-step explanation:

[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]

If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent​

Answers

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!

Answers

Answer:

The first multiple of 12 after 38 is 48.

The first multiple of 12 before 316 is 312.

So we have, 48, 60, 72... 312.

Divide by 12...

4, 5, 6, ... 26

Subtract 3 from each term to get... 1, 2, 3... 23

So there are 23 terms!

Hope this helps!

Can i please get some help im pretty desperate and will give brainiest to first answer with some steps, just try your best please

Answers

Answer:

To calculate the vertex you can use the vertex form ( i searched about the vertex and found it) but i don't know how to use it so i used another method.

The vertex is where the function inverts (y values) so it is going to be or a maximum or a minimum of the function. To calculate the min/max you derivate the function and then equal it to zero.

1) y  = -3x^2 -12x -10

the derivative of y is y' = -6x -12 = -6(x+2)

y'=0 <=>  -6(x+2) = 0 <=> x+2=0 <=> x=-2

y(-2) = -3(-2)^2 -12*(-2) -10 = 2

So the vertex is the point (-2,2) .

Because the slope of the equation is negative that means that the vertex is going to be the maximum , so the maximum is (-2,2) .

To find another 4 points you just have to pick values of x and replace them in the equation y  = -3x^2 -12x -10  to find y.

2) y = -2x^2 -12x -16

Do the same thing we did in point 1

y'= -4x-12 = -4(x+3)

y'=0 <=>  -4(x+3) = 0 <=> x+3=0 <=> x=-3

y(-3) = -2(-3)^2 -12*(-3) -16 = 2

So the vertex is the point (-3,2) .

Gasoline is a non-polar liquid that will float on water. 400 grams of gasoline is spilled into a puddle of water. If the density of gasoline is 0.665 g/mL, what volume of gasoline is spilled?

Answers

Step-by-step explanation:

here's the answer to your question

VW = 40 in. The radius of the circle is 25 inches. Find
the length of SP.
С.
P
T
V
W

Answers

Answer:

I think The choose C. 15

Step-by-step explanation:

wv=40

vG=20 =ST

PT=25

ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625

PS²=225 —> SP=15 in

I hope I helped you^_^

The value of SP is 15 inch.

What is Pythagoras theorem?

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given:

VW=40

VG=20 =ST

and, PT=25

Now, using pythagoras theorem

ST²+SP²=PT²

20²+SP²=25

400+SP²=625

PS²=225

SP=15 in

Learn more about pythagoras theorem here:

https://brainly.com/question/343682

#SPJ5

Identify the compositions performed on XYZ to map onto X"Y"Z".
A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin
B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin
C) Reflection along the line y = x; 180° rotation about the origin
D) Reflection along the y-axis; 180° rotation about the origin

Answers

The correct answer is A) 180° rotation about the origin, followed by a translation (x, y) → (x - 2, y + 1).B) 180° rotation about the origin, followed by a translation (x, y) → (x + 2, y - 1).C) Reflection along the line y = x, followed by a 180° rotation about the origin.D) Reflection along the y-axis, followed by a 180° rotation about the origin.

To identify the compositions of transformations that map XYZ onto X"Y"Z", we need to analyze each option and determine the combination of transformations.

A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin

This option consists of a translation and a 180° rotation about the origin. To identify the composition, we perform the operations in reverse order. First, we apply the 180° rotation, and then the translation. Therefore, the composition of transformations for option A is a 180° rotation about the origin followed by a translation of (x, y) → (x - 2, y + 1).

B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin

Similar to option A, this option involves a translation and a 180° rotation. Again, we reverse the order of operations to determine the composition. So, the composition of transformations for option B is a 180° rotation about the origin followed by a translation of (x, y) → (x + 2, y - 1).

C) Reflection along the line y = x; 180° rotation about the origin

This option includes a reflection along the line y = x and a 180° rotation. The order of operations is important, so we perform the reflection first and then the rotation. Hence, the composition of transformations for option C is a reflection along the line y = x followed by a 180° rotation about the origin.

D) Reflection along the y-axis; 180° rotation about the origin

Option D involves a reflection along the y-axis and a 180° rotation. As with the previous options, we need to reverse the order. Thus, the composition of transformations for option D is a reflection along the y-axis followed by a 180° rotation about the origin.

In summary:

A) Composition: 180° rotation about the origin, then a translation (x, y) → (x - 2, y + 1).

B) Composition: 180° rotation about the origin, then a translation (x, y) → (x + 2, y - 1).

C) Composition: Reflection along the line y = x, then a 180° rotation about the origin.

D) Composition: Reflection along the y-axis, then a 180° rotation about the origin.

Learn more about rotation here:

https://brainly.com/question/2078551

#SPJ8

Please help me. if I don’t complete my course I’m getting sent back to my parents house, and I need to complete this course
This is similar polygons, and the lessons I get don’t help

Answers

For the first question, yes, they are similar. Each of the corresponding sides has a ratio of 4:1 from the first polygon to the second, meaning they are similar. For the second question, the ratio is 1.6:1, and if we multiply the 10 on the bottom polygon by 1.6, we get 16, which is the answer.

For real though, I’m hoping you don’t get sent back there. I’m assuming you dislike it there, so good luck with your course. I’m here to help if you need it.

at the movie theatre admission is $6.30 an adult admission is $9.60. on thursday twice as many adult tickets as child tickets were sold for a total sale of $535.50 how many child tickets were solf that day

Answers

Answer:

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42

Step-by-step explanation:

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

now, we can plug y=2x

now, we can solve for x

now, we can find y

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer

Find the slope of the line that passes through (2, 18) and (9, 9).

Answers

Answer:

m=-9/7

Step-by-step explanation:

What are the solutions to this quadratic equation? -2x2+x+4=0

Answers

Answer:

=1±33√4

Step-by-step explanation:

Answer:

[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]

Step-by-step explanation:

It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±

This answer is correct on edmentum/plato

Hello! Hello ! guys. or any genius of math. can you help me on this math problems. this question is out of my answer.

could you help me.
if your answer is correct there is a big changes to get brain list answer and 2 followers from my two accounts.

don't need to follow back. ​

Answers

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

b If a and a+10 are a pair paix of complementary angles. Find them.​

Answers

Answer:

[tex]\sf{}[/tex]

Step-by-step explanation:

a+10 = 90

a = 90-10

a = 80

therefore a = b

b = 80

Answer:

Angles are : 40 , 50

Step-by-step explanation:

Sum of complementary  angles are 90

a + a + 10 = 90

 2a + 10 = 90

         2a = 90 - 10

        2a = 80

          a = 80/2

a = 40

a + 10 = 40 + 10 = 50

Angles are : 40 , 50

Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.

Answers

Answer:

8.98π = 28.22 in^2.

Step-by-step explanation:

Area of the whole circle = πr^2 = 7^2 * π

= 49π

So the area of sector MOR

= (66/360) * 49π

= 8.98π = 28.22 in^2.

Help! ASAP. The question is in the attachment below

Answers

Answer:

Step-by-step explanation:

The most obvious answer is the line y = 1.

A board is 10.17 feet long. Sandy needs
to cut the board into 3 equal sections.
How long will each section be?

Answers

Answer:

3.39

Step-by-step explanation:

divide 10.17 by 3 to get the size of each section

Is 30 inches greater than 3 feet

Answers

Answer:

1 feet = 12 inch

so, 3 feet = 36 feet

therefore, 3 feet is greater than 30 inch

Answer:

Yes, 3o inches is greater than 3 feet

Step-by-step explanation:

Geometry, please answer question ASAP

Answers

Magnitude of angle D = 170
Because,
Sum of interior angles of a pentagon = 540 degree
That is,
Angle A + angle B + angle C + angle D + angle E = 540 degree
87degree + 125 degree + 63 degree + 95 degree + angle D = 540 degree

So that gives angle D = 170 degree

Hope this helps.
ArmyCee:)

Answer:

m<D = 170°

Step-by-step explanation:

In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:

m<A + m<B + m<C + m<D + m<E = 540°

We are already given the measures of all the angles except D, so we can substitute them in:

87° + 125° + 63° + m<D + 95° = 540°

Now, we can simplify and solve for <D:

m<D + 370° = 540°

m<D = 170°

problem that would represent
an elevator starts at street
level (main lobby) goes up 6
floors and then back down 8
floors to the parking garage.

1 + 7 - 8 = 0
0 + 8 + (-2) = 6
1 + 6 + (-8) = -1
0 + 6 + (-8) = -2

Answers

[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]

Downward motion noted as negative and upward is positive.Lobby will be 1

[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]

[tex]\\ \sf \longmapsto 1+6-8[/tex]

[tex]\\ \sf \longmapsto 7-8[/tex]

[tex]\\ \sf \longmapsto -1[/tex]

option c is correct

1+6+(-8) = -1 is going to be your answer. aka C

(y+2)(y^2-2y+4) ..........................

Answers

You can use the distributive property to multiply:

( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =

y³ - 2y² + 4y + 2y² - 4y + 8 =

y³ + 8

The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!

The answer is y^3 +8

Bobby think that 5^2 = 10. What is wrong with this answer

Answers

Answer:

see below

Step-by-step explanation:

5^2  means 5*5  not 5*2

5^2 = 5*5 = 25  not 10

Answer:

5*5 = 25

bobby mistake is doing 5*2 = 10

Step-by-step explanation:

Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values.​

Answers

Answer:

(a square +7a+12) ÷(a+3)

3x/5=-6
please explain how to do it

Answers

Answer: x = -10

Step-by-step explanation:

Given

3x / 5 = -6

Multiply 5 on both sides

3x / 5 × 5 = (-6) × 5

3x = -30

Divide 3 on both sides

3x / 3 = (-30) / 3

x = -10

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3x/5 = - 6

first take 5 to the right: 3x = - 6×5

3x = -30

then divide 3 on both sides

3x/3 = -30/3

x = - 10

I hope this answers your questions.

A can contains 1/2 pint of paint. If we use 2/3 of the paint, how much paint is left in the can?

A. 1/2

B. 1/3

C. 2/3

D. 1/6

E. 5/6

Answers

Answer:

d

Step-by-step explanation:

Quantity of paint used = (2/3) of (1/2)

      [tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]

Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]

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

16. What is the measure of ZAOB?

Answers

Find angle a2 which is 40 degrees because it is parallel to angle c.

Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees

Find d1 and d2 separately.
100 divided by 2 = 50 degrees

Use d1 to find b1 to find total of a1 and a2.

b1 is parallel to d1 so b1 = 50 degrees

a1 and a2 = 180 - 50 - 50 = 80 degrees

a1 = 80 divided by 2 = 40

Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees

Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.

180 - 40 - 50 - 40 = 50 degrees (angle b2)

AOB has b1 and a1.

40 + 50 = 90 degrees (a1 + b1 = AOB)

The answer is 90 degrees

find the surface area of the cylinder and round to the nearest tenth​

Answers

Answer: A = 833.66 in^2

Step-by-step explanation:

Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2

Height of the cylinder = 12 in

Circumference of the base = (2)(pi)(r) = 44in

Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2

The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to

Answers

H=11cmB=9cmP=?

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=121-81[/tex]

[tex]\\ \sf\longmapsto P^2=40[/tex]

[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]

[tex]\\ \sf\longmapsto P=6.2cm[/tex]

Step-by-step explanation:

Given,

Hypotenuse = 11 cm

Base (One of the given leg) = 9 cm

Therefore,

According to Pythagoras Theorem,

[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]

[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]

[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]

[tex] = > {height}^{2} = 121 - 81[/tex]

[tex] = > {height}^{2} = 4 0[/tex]

[tex] = > height = \sqrt{40} [/tex]

=> height = 6.3245553203

When rounded to nearest tenth,

=> height = 6.3

Hence,

Required length of other leg is 6.3 (Ans)

I need help with 20-26 evens

Answers

this is simplify? I think it's simplify so I can give you an answer

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