Find an equivalent system of equations for the following system:

x + 2y = 2
−4x + 4y = −8

a) x + 2y = 2
−4x − 2y = 10

b) x + 2y = 2
5x + 4y = 8

c) x + 2y = 2
5x − 2y = 10

d) x + 2y = 2
5x − 2y = −8

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

we have

x+2y=2 ------> equation A

-4x+4y=-8 ------> equation B

Multiply equation B by -1 both sides

-1(-4x+4y)=-8*(-1)

4x-4y=8 -----> equation C

Adds equation A and equation C

x+2y=2

4x-4y=8

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

5x-2y=10 ----> equation D

An equivalent system of equations is equation A and equation D

so

x+2y=2 ------> equation A

5x-2y=10 ----> equation D

Answer 2

Answer:

C

Step-by-step explanation:

i took the test


Related Questions

I’m in need of serious help I don’t know how to do this

Answers

Answer:

Line A, (horizontal slope), Line B, (Negative slope) Line C, (Vertical slope) Line D, (Undefined slope)

Step-by-step explanation:

Line A horizontal slope, line B negative slope, line c vertical slope, line D undefined slope

(5b-4)1/5
Need help simplify expression plz

Answers

Answer:

(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5

Introduction to functions
Which graph represents a function

Answers

Answer:it is the one with a strait line

Given: ∠ABC is a right angle and ∠DEF is a right angle.

Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.

What are the missing reasons in the steps of the proof?

A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.

Answers

The missing reasons in proving that all right angles are congruent are:

A. Definition of right angles

B. Substitution property

C. Congruent angles

What are Right Angles?

Right angles are angles that measure 90 degrees. If two angles have the same 90 degrees, then they are congruent.

Thus, in the proof given, we have the following statements and their respective reasons:

∠ABC and ∠DEF are right angles - Givenm∠ABC = 90°; and m∠DEF = 90° - Definition of right anglesm∠ABC = m∠DEF - substitution property∠ABC = ∠DEF - congruent angles

Learn more about right angles on:

https://brainly.com/question/101834

Answer:

A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is right angle, Line segment D B bisects angle A B C, B, m angle A B D = m angle C B D, m angle A B D + m angle C B D = 90 degrees, m angle C B D + m angle C B D = 90 degrees, D, m angle C B D = 45 degrees. The second column is labeled Reasons with entries A, given, definition of right triangle, definition of bisection, C, substitution property, addition, and division property.

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

           DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

✔ given

B:

✔ measure of angle ABC = 90

C:

✔ angle addition postulate

D:

✔ 2 times the measure of angle CBD = 90

Step-by-step explanation:

The discriminant of a quadratic equation is 34. Which of the following is true about its roots? *

a.The roots are imaginary and unequal.
b.The roots are real, rational, and unequal.
c.The roots are real, irrational and unequal.
d.The roots are real, rational and equal.

Answers

Answer:

d. The roots are real, rational and equal.

Step-by-step explanation:

The discriminant of a quadratic equation is expressed using the equation:

D = b²-4ac. It talks about the nature of the roots of a quadratic equation.

If D>0, then the roots is real and unequal/distinct

If D<0 the roots are unreal and imaginary

If D = 0, the  roots are real and equal (one real root)

According to this question, since the root given is a real value and also one value, then the the roots are real, rational and equal. Note that the root is rational since we can write it as a ratio of two integers e.g 34 = 34/1. 34 and 1 are integers

What is the missing number between 6 and 15

Answers

The answer would be 7. Hope this helps!

Can u help me with this pls

Answers

i would guess C, but i’m not sure.

Answer:

[tex]2.\overline {24}[/tex] = 2[tex]\frac {8} {33}[/tex] or D.

Step-by-step explanation:

2  is a whole number, so its [tex]\frac {2} {1}[/tex] and [tex]0.\overline {24}[/tex] is a repeating decimal, so that means we try to simplify it: [tex]\frac {24} {100}[/tex]÷[tex]\frac {3} {1}[/tex]=[tex]\frac {24} {100}[/tex]·[tex]\frac {1} {3}[/tex]=[tex]\frac {8} {33}[/tex]

Three sisters purchased a dress of equal value. One of the sisters purchases a purse for $26.00. If the grand total was $249.50, how much did each dress cost?
I need an answer by today please! :)

Answers

Answer:

cost of dress is

Step-by-step explanation:

way to much they should have gone to goodwill they could get a dress for like 5 bucks

6 1 2 3 + + 2 3 4 Situation: Find the value of this fraction computation: 6(1/2+3/4+2/3)​

Answers

Answer:

11.5 gotchu 100% correct

Step-by-step explanation:

Answer:

[tex]\frac{23}{2}[/tex] or 11.5

Step-by-step explanation:

[tex]\frac{1}{2} + \frac{3}{4} + \frac{2}{3} = \frac{6}{12} + \frac{9}{12} + \frac{8}{12}[/tex]  Plug the new expression in: 6(6/12 + 9/12 + 8/12)6/12 + 9/12 + 8/12 = 23/12Plug 23/12 in: 6(23/12)6(23/12) = 23/2 = 11.5

I hope this helps!

WILL GIVE BRAINLIEST 14 PT!
what is b

Answers

Answer: b= 3.25

:):):):):):)

the answer is b=3.25


Sanjeev wants a rug for his room . Which SI unit is best for describing the area of his room

a) meters squared
b) kelvins
c) centimeters cubed
d) milimeters

Answers

Answer:

meters squared

Step-by-step explanation:

kelvin is used to measure temperature. so that isn't it. centimeters cubed is a small measurement and isn't used for a 2d surface like the rug that covers the floor. and millimeters is too small to measure for a rug. the answer is meters squared.

Answer:

meters squared

Step-by-step explanation:

y=(x-4) ²-2
Find the vertex. How do you do that ?

Answers

It’s a lot of steps but the answer is The minimum value -2 at X=4

Answer:

(4,-2)

Step-by-step explanation:

Going to Desmos and you will see the the graph and you can push on the vertex and see the answer

Multi-step Equations
a+5=-5a+5

Answers

Answer:

a=0

Step-by-step explanation:

a+5=-5a+5

(add 5a to both sides)

-4a+5=5

(subtract 5 from both sides)

-4a=0

(divide both sides by -4)

a=0

Can someone help me? Thanks!!:)

Answers

Answer:

A

Step-by-step explanation:

We can try each option to see which one is correct.

System of Equations:

y > -2

x + y <= 4

Option A:

3 > -2 (true)

1 + 3 <= 4

4 <= 4 (true)

We do not need to test any more options since we already found the correct one.

Best of Luck!

Cuánto le falta a 1/4 para llegar a 4/5​

Answers

Answer:

4/5 - 1/4

Step-by-step explanation:

4/5 =0.8

1/4=0.25

  ⇒0.8 - 0.25 = 0.55 (decimal form)

  ⇒4/5 - 1/4 = 11/20 (exact form-fraction)

Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x + 15y = 45

Answers

Answer:

y equals -x/5 + 3

Answer:deformed penis

Step-by-step explanation:

1.2+&7(6–&67-7-7+7=6+7-66+7=7+7-7-

A computer magazine is analyzing three microprocessors. Microprocessor A executes one cycle in 0.00000000003 seconds, microprocessor B executes one cycle in 0.0000002 seconds, and microprocessor C executes one cycle in 0.000000008 seconds. Which of these statements is correct? Select all that apply.

Microprocessor A executes one cycle in 3 × 10–11 seconds, and microprocessor B executes one cycle in 2 × 10–7 seconds.
Microprocessor B executes one cycle in 2 × 10–7 seconds, and microprocessor C executes one cycle in 8 × 10–9 seconds.
Microprocessor C executes one cycle in 8 × 10–9 seconds, and microprocessor A executes one cycle in 3 × 10–11 seconds.
Microprocessor A executes one cycle in 3 × 10–11 seconds, and microprocessor C executes one cycle in 8 × 10–8 seconds.
Microprocessor C executes one cycle in 8 × 10–9 seconds, and microprocessor B executes one cycle in 2 × 10–6 seconds.
Microprocessor B executes one cycle in 2 × 10–7 seconds, and microprocessor A executes one cycle in 3 × 10–12 seconds.

Answers

Answer:Microprocessor A executes one cycle in 3 × 10–11 seconds, and microprocessor B executes one cycle in 2 × 10–7 seconds.

Microprocessor B executes one cycle in 2 × 10–7 seconds, and microprocessor C executes one cycle in 8 × 10–9 seconds.

Microprocessor C executes one cycle in 8 × 10–9 seconds, and microprocessor A executes one cycle in 3 × 10–11 seconds.

Step-by-step explanation: I got it right on the test

-6^2=36 I’m stuck what’s the answer

Answers

36

Step-by-step explanation:

wait the answer is right there

What is 39700.0947 in scientific notation ?

Answers

3.97000947 x 10 to the fourth power

George deposits $3,500 at 3.25% interest compounded monthly. What will his ending balance be after 5 years?

Answers

Answer:

FV= $4,117.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Number of periods= 5*12= 60 months

Interest rate (i)= 0.0325/12= 0.00271

To calculate the Future Value, we need to use the following formula:

FV=PV*(1+i)^n

FV= 3,500*1.00271^60

FV= $4,117.1

Find the slope from point A and B

Answers

The answer is 40 because it went up 40 from point b to point A

the answer is 40 up and going down to b the answer is 40 agien so the answer is 40

rewrite y=3x+5 in function notation

Answers

f(x)=3x+5 I think :)

Answer:

X=1

Step-by-step explanation:

I looked It up ¯\_(ツ)_/¯

1. what is the Quadratic Formula? When is the most appropriate situation to use formula?

Answers

Answer:

Step-by-step explanation:

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve

How do you find the mean? I'm an idiot right now.

Answers

Answer:

the mean is the average of all the numbers. first add up all numbers. then divide by how many numbers there are.

hope this helps

#14
14. You bought a bicycle at a 12% discount. If
the discount was $19.20, then what was the
original price of the bicycle?

Answers

Answer:

$21.50 would be the original price

Step-by-step explanation:

$19.20+12%= $21.50

$21.50 , I believe so

A painter mixes cans of green and white paint to make the shade needed for painting a bedroom. The table shows the
ratios he can use for the color he wants.
Green cans (g) 6 10 16 18
White cans (W) 915 24 27
Which is a direct variation equation for this relationship?

Answers

Answer:

A. 2/3w

Step-by-step explanation:

Option A is correct, g = 2/3 w is a direct variation equation for the given relationship

To determine the direct variation equation, we need to check if the ratio of green cans (g) to white cans (w) is constant across all the given ratios.

Let's calculate the ratios for each case:

For the first ratio: g = 6 and w = 9

g/w = 6/9

= 2/3

For the second ratio: g = 10 and w = 15

g/w = 10/15

= 2/3

For the third ratio: g = 16 and w = 24

g/w = 16/24

= 2/3

For the fourth ratio: g = 18 and w = 27

g/w = 18/27

= 2/3

Since the ratio of g/w is the same (2/3) for all cases, we can see that the relationship between green cans (g) and white cans (w) is a direct variation

Hence,  the direct variation equation is g = 2/3 w, option A is correct.

To learn more on Ratios click here:

https://brainly.com/question/1504221

#SPJ4

If h and j are inverse functions, what is h(j(15))

Answers

Answer: 15

Step-by-step explanation:

Let's define the concept of inverse functions.

If we have a function h(x), such that it has an inverse, and:

h(x) = y.

Then the inverse function j(x) must meet the following:

j(y) = x.

Now, we want to calculate:

h( j(15) ).

Let's suppose that:

j(15) = A.

(Where A can be any real number).

then, by the above relation, we must have that:

h(A) = 15.

Now we can replace j(15) by A in h(j(15)):

h( j(15) ) = h( A ) = 15.

Solve for y.
9(v+6) = 5v+22
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

9(v+6)=5v+22

9v+54=5v+22

Transposing 5v to LHS

9v-5v+54=22

4v+54=22

v=(22-54)/5

v=-32/5

THANK YOU


HELP !! ANSWER ASAP

Question 3
1 pts
Describe the nature of the roots for the equation 49x^2-
28x +4 = 0
O one real root
one complex root
O two complex roots
O two real roots

Answers

Answer:

Step-by-step explanation:

One real root

The nature of the roots of [tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex] is (a) one real root

The equation is given as:

[tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex]

To determine the nature of the roots, we make use of determinants.

The determinant (d) of a quadratic equation is calculated

[tex]\mathbf{d = b^2 - 4ac}[/tex]

Where the quadratic equation is:

[tex]\mathbf{ax^2 + bx + c = 0}[/tex]

By comparison, we have:

[tex]\mathbf{a = 49,\ b = -28,\ c = 4}[/tex]

So, we have:

[tex]\mathbf{d = b^2 - 4ac}[/tex]

[tex]\mathbf{d = (-28)^2 - 4 \times 49 \times 4}[/tex]

[tex]\mathbf{d = 784 - 784}[/tex]

[tex]\mathbf{d = 0}[/tex]

When d = 0, then the function has one real root.

Hence, the nature of the roots of [tex]\mathbf{49x^2 - 28x + 4 = 0}[/tex] is (a) one real root

Read more about nature of roots at:

https://brainly.com/question/24730520

if you're in 8th grade in 2020, what grade will you be in 2022?

Answers

Answer:10th?

Step-by-step explanation:

8 + two = 10????

Answer:

what grade are you in

Step-by-step explanation:

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