−3x−9y=18
4x+3y=12

Answers

Answer 1

Answer:

x = 6 , y = -4

Step-by-step explanation:

Solve the following system:

{-9 y - 3 x = 18 | (equation 1)

3 y + 4 x = 12 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = 12 | (equation 1)

-(3 x) - 9 y = 18 | (equation 2)

Add 3/4 × (equation 1) to equation 2:

{4 x + 3 y = 12 | (equation 1)

0 x - (27 y)/4 = 27 | (equation 2)

Multiply equation 2 by 4/27:

{4 x + 3 y = 12 | (equation 1)

0 x - y = 4 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = 12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = 24 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 6 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 6 , y = -4


Related Questions

write the equation for the graph

Answers

[tex]y=|x+1|+2[/tex]

also that's a huge blank.

Helppp!!!!!!!!this for a test

Answers

Answer:

Step-by-step explanation:

A,because it goes diagonally which (with the fraction) means that the fraction should be equal to the problem

Answer:

A

Step-by-step explanation:

I believe this is the right answer becasue all the other lines and curved (not constant) and the other goes in different directions.

In ΔSTU, the measure of ∠U=90°, ST = 33 feet, and US = 20 feet. Find the measure of ∠T to the nearest tenth of a degree.

Answers

Answer:

37.3°

Step-by-step explanation:

sin β = [tex]\frac{20}{33}[/tex] ⇒ β = arcsin [tex]\frac{20}{33}[/tex] = 37.3°

Which is a linear function
A. f(x)=x+2
B. F(x)=x to the power of 2
C. F(x)=2 to the power of x
D. F(x)= |2x|

Answers

A. f(x)=x+2 is a linear function.

Answer:

A

Step-by-step explanation:

A is a linear function because, x^2 would be a parabola, 2^x would also result in a parabola, and |2x| would be a v shape.

PLZZZ HELPPP THIS IS A TIMED TESTTT *look at the picture*

the triangles are similar. solve for x

Answers

Answer:

x=14

Step-by-step explanation:

Write the equation for a parabola with the focus at
(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)

Answers

The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.

Which angle relationships are correct? Check all that
apply.
21 and 28 are alternate exterior angles.
24 and 26 are same side interior angles.
25 and 27 are vexical angles.
22 and 28 are corresponding angles.
23 and 26 are alternate interior angles.

Answers

Answer:

<1 and <8 are alternate exterior angles

<4 and <6 and same said interior angles

<3 and <6 are alternate interior angles

Step-by-step explanation:

The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.

What is angle relationship?

The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.

Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8

∠ 1 and ∠ 8 are alternate exterior angles, this is true.

∠ 4 and ∠ 6 are same side interior angles, this is true.

∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.

∠ 2 and ∠ 8 are corresponding angles, this is true.

∠ 3 and ∠ 6 are alternate interior angles, this is true.

Hence, the correct options are 1, 2, 4, and 5

Learn more about angle relationships, click;

https://brainly.com/question/29764647

#SPJ2

divide in simplest form
13÷10 5/6
7/8÷3 1/16
how many 1 3/5 inch books can fit on a
14 1/2 inch long book self

Answers

Answer:

13÷10 5/6

7/8÷3 1/16

how many 1 3/5 inch books can fit on a

14 1/2 inch long book self

Step-by-step explanation:

PLEASE HELP NEED ANSWER NOW!!!!!!
Put the following equation of a line into slope-intercept form, simplifying all fraction. 5x-y=(-4)

Answers

Slope intercept form is y = mx + b
You would have to reorder.
For this you need to isolate y.
First subtract 5x from both sides.
This would result in: -y = -4 - 5x
Then multiply both sides by negative one to make the y positive.
This would result in: y = 5x + 4
Hope I helped:)

What is TR(39)?
pls help this is going to be on my exam...

Answers

Answer:

780

Step-by-step explanation:

So when you're adding consecutive numbers like this. 1+2+3...+39. You add 39 and 1. This is 40. 2+38 is 40. This is a pattern. Now, we do 40 multiplied by 39 and this will give you the number 1620. After this you would have to divide this product by 2. The answer will soon be 780.

If a ∥ b and e ∥ f, what is the value of y?

87
88
91
92

Answers

Answer:

88 i believe

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.

-I got the question right on the test

Hope this helps!

Use the Binomial Theorem/Pascal's Triangle to expand (2a + 2b)^5

Answers

Answer:  

32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5

============================================================

Explanation:

Let's use Pascal's Triangle

In the row that starts with 1,5,... we have the values 1,5,10,10,5,1

These will be the coefficients of the terms.

Let x = 2a and y = 2b

We want to expand out (x+y)^5

Using pascals triangle, we get the following expansion

(x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5

The numbers in bold are the coefficients 1,5,10,10,5,1 found earlier.

Note how the exponents for x start at 5 and count down to 0; while the y exponents start at 0 and count up to 5. For any term, the x and y exponents always add to 5 for the expansion of (x+y)^5. In general, the exponents of any term will add to n for (x+y)^n.

At this point, we plug in x = 2a and y = 2b

Since this will clutter things a bit, I'll do it term by term

1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^55x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^210x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^35x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^41x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5

So in the end, the expression (2a+2b)^5 expands out to

32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5

The binomial theorem uses the same basic idea, but instead of using Pascal's Triangle to get the coefficients, you'll use the nCr combination formula.

Answer: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex].

Using Pascal's triangle we get:

[tex](x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5[/tex]

Here, x = 2a and y = 2b

So the terms become:

[tex]1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^5\\5x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b\\10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^2\\10x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^3\\5x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^4\\1x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5\\[/tex]

Hence: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex]

Learn more: https://brainly.com/question/13769924


Somebody help me plzzZZZZ

Answers

what’s up!
I can probably help
If not I’m so sorry
I’m also struggling

Answer:

Step-by-step explanation:

9.

a1=-35

d=a2-a1=-28-(-35)=7

a35=a1+(35-1)7

=-35+34×7

=-35+238

=203

NEED HELP ASAP THANKS

Answers

Answer:

D.  7 1/2

Step-by-step explanation:

-3 divided by  (-2/5) = 7 1/2

The answer is D. 7.5 which is 7 1/2

If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?

Answers

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0

Let us use these rules to solve the question

h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]

h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

K = 256

The maximum height of the rocket is 256 feet

Match the vocabulary word with the correct definition.

Answers

Answer:

supplementary angles-either of two angles whose sum is 180°.

transformation- a change made to a shape or object

scalene triangle- a triangle with no equal sides

similar triangles-the same shape but not necessarily the same size

semi-circle- and arc measure up to 180 degrees

I hope this is good enough:

15 POINTS AND 5 STARS

Answers

Answer: b.

Step-by-step explanation:

What is the value of 2x3 + 4x2 - 3x2 - 6x when x = 3?

Answers

Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

PLEASE HELP, WILL GIVE BRAINLIEST

Explain the process you would use to determine what form a solution to a system of inequalities should take. What are some tips and tricks?

Answers

Answer:

Solving a system of inequalities is almost like solving a system of equations. Pretend that the inequality signs are equal signs for a moment. Then, solve the system for the two unknown variables just like how you would solve for in a system of equations.

But, there's a catch. If you divide both sides of the inequality by a negative number, you have to flip the inequality sign. For example, if you are trying to solve the inequality -x > 4 you would have to divide both sides of the equation by -1. We would get x < -4 (see how I switched the inequality sign from > to <).

Once you find the values of x and y (they will be an inequality), graph the solutions.

What is the slope to this one? Will give brainliest

Answers

Answer:

Negative Slope.

-7/5

Step-by-step explanation:

Decreasing from left to right.

x = 3- -2 = 5

y = -2 - 5 = -7

y = -7/5x + 11/5

Answer:

7/-5

Step-by-step explanation:

give an example of a rational number

Answers

There a lot ......
17
0.80
-22

Help pls for I will give u brainlest

Answers

Answer:

y = 3.5x

Step-by-step explanation:

y=mx+b. given the points (0,0) and (2,7), you solve using y2-y1 / x2-x1 to find slope. This equals 7/2 which = 3.5. Then just put it into equation form of y=mx+b. But, our b is 0 so your equation just becomes y=3.5x

The answer is Y=7/2x or Y=3.5x.

Ms. Sacco is investigating the habitats of various animals. She starts scuba diving off the shores of Mexico. She dives to a depth of 65 feet. The next day she climbs a mountain at an elevation of 500 feet. What is her change in elevation?​

Answers

Answer:500 ft.-65 ft.=435 ft.

Step-by-step explanation:435 ft. is your answer because the change of elevation goes down which means you subtract so I subtracted 500-65=435 feet

geometry unit 3 look at the picture for the question

Answers

Answer:

C= 66°

B= 74°

A= 35°

Step-by-step explanation:

sorry I don't have much time to explain- but I hope this answer helps

5 (5) - -2 =

( worth 10 points)

Answers

Answer:

I think 27 is the answer

I think the answer is 27

ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)

Answers

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

3.005 as a fraction simplified(I’m reporting wrong answers)

Answers

Answer:1

Step-by-step explanation:it’s one decimal

y
4+
3+
2+
1
+
-4
-3
-2
-1
2
3
4
-2
-3+
-4
What is the slope of the line?

Answers

Answer:

the slope is 3/4

Step-by-step explanation:

Randomly pick two points

point 1 (0, -1)

point 2 (4, 2)

gradient = (y2-y1)/(x2-x1)

m = (2-(-1))/(4-0)

m = 3/4

Help me if you can please

Answers

Answer:

the missing angle is 45

180-135=45

One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are

Answers

Answer:

1/2, 1/4

Step-by-step explanation:

Let the numbers be x and y.

Given, x=2y

1/x + 1/y = 6

plug in x=2y ,

1/2y+1/y = 6

Taking common denominator ,

(1+2)/2y = 6

2y = 3/6 = 1/2 => y=1/4

x = 2y = 2* 1/4 = 1/2

So, the numbers are 1/2 and 1/4

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