Solve using elimination. x − 8y = 19 9x + 8y = 11 (, )

Answers

Answer 1

Answer:

[tex](3;-2)[/tex]

Step-by-step explanation:

Let's add together the two equations

[tex]I + II : x-8y +9x +8y = 19+11 \rightarrow 10x=30 \rightarrow x =3[/tex]

At this point I would recommend simply using the value of x in the firs equation to find y. [tex]3-8y=19 \rightarrow -8y=16 \rightarrow y=-2[/tex]

Or just multiply the first by 9 and subtract the second.

[tex]9\times I-II: 9x-72y-9x-8y=171-11 \rightarrow -80y=160 y=-2[/tex]


Related Questions

100pts...!Determine the image of the point (7, 3) under a rotation of 90° about the origin.


(-7, 3)

(-3, -7)

(-3, 7)

(3, 7)

Answers

Answer:

(-3, 7)

Step-by-step explanation:

The rotation of an object turns the object around a fixed point called the center of rotation.  

Positive rotations are counterclockwise.

Negative rotations are clockwise.

Therefore, rotation of 90° about the origin means a 90° rotation counterclockwise with (0, 0) as the center of rotation.

The rule for rotation of 90° about the origin is:

(x, y) → (-y, x)

Therefore  (7, 3) → (-3, 7)

The rule of 90° rotation about the origin is

(x,y)—»(-y,x)

Here given point is

(7,3)

The new point is

(-3,7)

The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two rectangular prisms. Prism 1 has a height of 10 inches, length of 20 inches and a width of 7 inches. Prism 2 is smaller and to the right of Prism 1. Prism 2 has a height of 4 inches, length is 20 inches and width is 4 inches. Marcus shipped 1 of the larger boxes and 2 of the smaller boxes. Which equations show the total volume of the boxes Marcus shipped? Select the three equations that apply.

Answers

Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.

What is the volume of a rectangular prism?

The volume of a rectangular prism of lenght l, width w and height h is given by:

V = lwh.

Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:

V1 = 20 x 10 x 7 = 1400 in³.

Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:

V2 = 20 x 4 x 4 = 320 in³.

Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:

V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528


The length of a diagonal in a square is
32 inches. Find the perimeter of
the square.

Answers

Drawing a diagonal line through a square or rectangle makes 2 right triangles. The line drawn will be the hypotenuse of the triangles, which is the longest side.

By using Pythagorean theorem we can solve for any of the side lengths of a triangle.

a will be the first side,
b will be the second side,
c will be the hypotenuse

And since the shape is a square, that means a and b will be the same length.

a^2 + b^2 = c^2

a^2 + b^2 = 1024

Since and b are the same, we can combine the left side of the equation to be 2a^2

2a^2 = 1024

Divide both sides by 2

a^2 = 512

Square root both sides

a = 22.6274

We have now solved for the length of one of the sides of the square. Since a square has 4 equal sides, we multiply this by 4 for our answer.


22.6274 x 4 = 90.5096 inches

if f(x)=3[tex]x^{2}[/tex]-4, find f(-3)

Answers

Answer:

[tex]\sf f(-3) = 23[/tex]

given:

[tex]\sf f(x) = 3x^2 -4[/tex]

to find the output, replace x with the given integer.

solve:

[tex]\sf f(-3) = 3(-3)^2 -4[/tex]

[tex]\sf f(-3) = 3(9) -4[/tex]

[tex]\sf f(-3) = 27 -4[/tex]

[tex]\sf f(-3) = 23[/tex]

find the measure of angle x in the figure

Answers

Answer: Hey I don't think this is the correct answer, but I think it's 128

Step-by-step explanation: 128 is probably the answer I'm very sorry if it's not correct!

plz answer this is urgent.​

Answers

Answer: 9 subtracted from y and multiplied by 2

Answer:

2y subtracted from 9

I hope this answer is correct.

What is the value of x and y
A x=6.15, y=7
B x=2, y=5
C x=8, y= 9
D x=2✔️14, y= 2✔️10

Answers

Answer: D

Step-by-step explanation:

Suppose the sample space for a continuous random variable is 0 to 400. If
the area under the density curve for the variable from 0 to 72 is 0.18, what is
the area under the density curve from 72 to 400?
A. 0.92
O B. 0.18
O C. 0.82
D. 0.982

Answers

Answer:

P(72 ≤ x ≤ 400) = 0.82. Correct: C.

Explanation:

Probability Distribution

In any probability distribution, the total probability of the sample space must be 1.

Since the sample space is given as a random variable x that takes values from 0 to 400, then:

P(0 ≤ x ≤ 400) = 1

For any value of x:

If the sample space is divided into two parts like:

P(0 ≤ x ≤ 72) and P(72 ≤ x ≤ 400), then the combined probability must be 1:

P(0 ≤ x ≤ 72) + P(72 ≤ x ≤ 400) = 1

Or, equivalently:

P(72 ≤ x ≤ 400) = 1 - P(0 ≤ x ≤ 72)

P(72 ≤ x ≤ 400) = 1 - 0.18

P(72 ≤ x ≤ 400) = 0.82

A. The value 0.92 is not correct since does not match with the value 0.82.

B. The value 0.18 is not correct since does not match with the value 0.82.

C. This is the correct value. Correct Choice

D. The value 0.982 is not correct since does not match with the value 0.82.

Answer: .82

Step-by-step explanation:

Took the test

Can someone help?

Find the product. Write your answer in factored form.

Answers

Answer:

2x+8/x^2-x-6

Step-by-step explanation:

=x^2+4x-1x-4

=(x-1)(x+4)

=x^2+2x+2x+4

=(x+2)(x+2)

=x^2-3x-1x+3

=(x-1)(x-3)

= (x-1)(x+4)/(x+2)(x+2) x 2x (x+2)/(x-1)(x-3)

= (x+4)(2)/(x+2)(x-3)

= 2x+8/x^2-x-6

Restrictions:

x cannot = -2, 1, 3,

Calculate the shaded area

Answers

Answer:

116 cm²

Step-by-step explanation:

area shaded = total area - area not shaded

πr² is the area of a circle

total area = πr² = π*(6.5cm)² = 132.732289614 cm²

area not shaded = πr² (note the radius is 2.3cm for the non-shaded portion) = π*(2.3cm)² = 16.6190251375 cm²

area shaded = total area - area not shaded = 132.732289614 cm² - 16.6190251375 cm² = 116.113264476 cm² ≈ 116 cm²

Rs 7.65 + Rs 8.65please solve this for me ​

Answers

Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30


What is the definition of an exponential equation?

Answers

Answer:

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with the same base, use the property of equality of exponential functions

A circle is drawn on the (x,y) coordinate plane so that the center is at the point (-3,0). If the radius of the circle is 5, then each of the following points lie on the circle's circumference EXCEPT:

Answers

Answer:

2,5

Step-by-step explanation:

since radius is 5

each point lies on the circumference that has 5 or -5 in its y coordinates must have -3 in its x coordinate because -3 is the center

then option number 1 is incorrect

second option is correct , -3 + ( -5 ) = -8

third option is correct, -3 + 5 = 2

fourth is correct, -3 is the center and 5 steps on y axis

fifth is the same as fourth but opposite direction

so the first one is the exception

PLEASE HELP thanks!! ​

Answers

Answer:

b = 70

b = a = 70

b = c = 70

Step-by-step explanation:

snice b and 70 are opposite the top; they are equal.

b and a are alternate internal they are again equal so a is 70.

and finally a is equal with c because they are opposite at the top.

I hope I helped you! :)))

What is the y intercept of the line y=.8x+3

Answers

Answer:

(0,3)

Step-by-step explanation:

to find the y-intercept, you plug 0 into the x, so

y=.8(0)+3

y=0+3

y=3

Ali earns 150$ in 4 hours at this rate how many hours will it take him to earn 525

Answers

Answer:

14 hours

Step-by-step explanation:

Find the rate of what he earns per hour.

150 ÷ 4 = $37.50

Divide $525 with the rate:

525 ÷ 37.50 = 14

It would take him 14 hours

14 hours ............

help! how do I solve 3 and 4 ASAP

Answers

Put each line in slope-intercept form and see if they have the same slope.
Parallel lines have the same slope.
3 is blue and red 4 is all of them

Karen, Justin, and Austin sent a total of 94 text messages during the weekend. Austin sent 2 times as many messages as Karen. Justin sent 6 fewer messages than Karen. How many messages did they each send?

Number of text messages Karen sent:
Number of text messages Justin sent:
Number of text messages Austin sent:

Answers

Answer:

Karen: 16

Justin :18
Austin:36

Step-by-step explanation:

you don’t need one- I’m smart soooo-

Which scene from "Stray" is an example of rising action?


Doris brings the puppy home for the first time.


Mr. Lacey takes the puppy to the pound.


Doris tries to convince her parents that they should keep the dog.


Doris discovers that her father brought the dog back.

Answers

Answer:

D. doris disvobers that her father brought th dog back if it's wrong im sorry

Step-by-step explanation:

whats 0.00316 in scientific notation ?

Answers

= 3.16 × 10^-3
(scientific notation)

= 0.00316
(real number)

I will mark brainliest the first 2 people that answer my question first

Answers

Answer:

I believe it is 136° hope it helps

Choose the graph that represents the statement.

An acute angle is less than 90°.

Answers

the answer would be B less than is an open circle and to the left

An acute angle is less than 90° is shown in the second option. Hence, the second option is correct.

What is an acute angle?

Acute angles are those that are smaller than 90° and fall between 0° and 90°; they are referred to as such. For example, temperatures of 60°, 30°, 45°, and others. An acute triangle is a triangle whose all internal angles are less than 90 degrees. An equilateral triangle is called an acute triangle if its internal angles measure 60°.

There are various types of angles, most commonly they are :

Acute angleRight angle Obtuse angle

In the second option, the circle is void, which means the angle is less than 90°. As we compare this with the first option the circle is filled, which means that the angle is equal to 90° which means that it is a right angle.

So, this concludes that the second option is correct.

To get more information about acute angles:

https://brainly.com/question/10334248

#SPJ5

i will mark brainliest!

Answers

W=138
V=84
Q=118
P=62
N=62

Solve step by step -18=2(-q+4)

Answers

Answer:

q=13

Step-by-step explanation:

First, you can multiply to distribute 2 over -9 and 4.

-18=2(-q+4)

-18=-2q+8

Then, you can subtract 8 from both sides.

-18=-2q+8

-26=-2q

Finally, you can divide -2 on both sides.

13=q

Now, you can check by plugging in 13 for the value of q in the original equation.

-18=2(-(13)+4)

-18=2(-13+4)

-18=2(-9)

-18=-18

Hope this helps you! :)

In right-angled triangle, the difference between two of the angles is 20 degrees. a) Work out the Size of the angles in the triangle. b) How many solutions are there to A? ​

Answers

Answer:

The sum of interior angles of a triangle is 180°

In a right triangle, one of the three angles is 90°.  Therefore, the sum of the other two angles is 90°.

Let a = one unknown angle

Let b = the other unknown angle

As the sum of the angles is 90°:

⇒ a + b = 90°

As the difference between the two angles is 20°:

⇒ a - b = 20°

Rewriting the first equation to make a the subject:

⇒ a = 90° - b

Substituting this into the second equation and solving for b:

⇒ 90° - b - b = 20°

⇒ 90° -2b = 20°

⇒ 70° = 2b

⇒ b = 35°

Substituting found value for b into  a = 90° - b  and solving for a:

⇒ a = 90° - 35°

⇒ a = 55°

Therefore, the two unknown angles are 35° and 55°

How many solutions does an equation have? Is there always a solution?​

Answers

Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases.Step-by-step explanation:

PLEASE READ AND HELP!
My indoor kitty got out and I don't know how to find her, if you have any tips and tricks that would mean the world to me. I just need her, my older and baby brother are attached to her.
She has no tracker or collar.

Answers

Answer:

You should take help from your friend in searching her

Step-by-step explanation:

If you have photo then, you must ask other to help you.

I Don't know what to do

But maybe this will be helpful

Help. (The 25. Is the question number.)

Answers

Basically, just plug in the expressions into the formula and simplify:

[tex]A = \frac{1}{2}*(3ab)*(7a^2b+11a^2b) = \frac{3}{2}ab*(18a^2b) = 27a^3b^2[/tex]

Molly and Alexa went to Taco Bell. Molly bought three tacos and two burritos and paid 5.40.Alexa bought two tacos and one burrito and paid 3.10.what is the indiviso cost for each taco and each burrito (systems with equations algebra 2)

Answers

Answer:

taco is 80 cents burrito is 1.50

Step-by-step explanation:

If you make two equations, multiply one of them by two so burritos have the same constant, subtract and find b. Then, substitute b into one of the equations to find t. Hope it helps.   :)

can you please answer that + here's something that will make you laugh

will mark brainlyest and 100 point

Answers

Answer:

The fourth and last answer is correct

Step-by-step explanation:

For the fourth one you have an exponent of an exponent, the base stays the same and the exponents get to be multiplied.

6^-1^16

For the last one both -8 x -2 and 8 x 2 equal 16.

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