Which statements about the system are true? Check all that apply.


y= -13x - 4

3y-x= -7

a
Both lines have the same y–intercept.
b
The system consists of parallel lines.
c
The equations represent the same line.
d
The system has one solution.
e
Both lines have the same slope.

Answers

Answer 1

Answer: D

Step-by-step explanation:

To compare the two lines, we want to a=make sure that they are in the same form.

3y-x=-7           [add both sides by x]

3y=x-7            [divide both sides by 3]

y=1/3x-7

Now that the equations are in the same form, we can compare them.

In order for the equations to have the same y-intercept, the "b" must be the same. The y-intercept for the first equation is -4, while the y-intercept for the second equation is -7. Therefore, A is not the answer.

If the lines are parallel, they must have the same slope. Parallel lines NEVER touch or cross, hence the slope has to be the same. The slope for the first equation is -13, while the slope for the second equation is 1/3. Therefore, B is not the answer.

We know that E is not the answer because the paragraph above proved that the slope are not equal.

We also know that the equations do not represent the same line. If they are the same line, the equations would be identical.

We know that D is the correct answer. A system of linear equaitons can only have ONE solution. We set the equations equal to each other to find the solution. The intersection point is the solution.

Therefore, we know that D is the right answer.


Related Questions

Write an equation in slope intercept form that has a
slope of -3/2 and a y intercept of 9

Answers

Answer:

y = -3/2x + 9

Step-by-step explanation:

y = mx + b

y = -3/2x + 9

please help me its really easy angles

Answers

Answer:

→137°

Step-by-step explanation:

[tex]\hookrightarrow 22+x+21=180[Sum\:of\:linear\:pair]\\\\\hookrightarrow x=180-21-22\\\\\hookrightarrow x=137[/tex]

Samantha can run one mile in 8 minutes. At this rate how long will it take her to run in 5 miles

Answers

It would take Samantha 40 minutes to run 5 miles!!!
It would take 40 minutes.
You multiply the time it took her to run one mile by the number of miles.
8x5=40
Hope this helps

The phone company offers Rachel 12c per minute for her long distance calls. A discount company called Rachel and offered her long service for 1/2c per minute, but will charge a R46 monthly fee. How many minutes per month must Rachel talk on the phone to make the discount a better deal?

Answers

Step-by-step explanation:

x = number of minutes

the cost function (in c) of the phone company is

cp(x) = 12x

and the cost function of the discount company is

cd(x) = x/2 + 4600 (R46)

we now need to calculate for what x this becomes the same cost :

12x = x/2 + 4600

24x = x + 9200

23x = 9200

x = 400 minutes

she would have to talk for at least 400 minutes long distance per month to make it an even or then better deal.

with 400 minutes being the break-even point.

so, to make it a better deal (not just equal), she has to talk for at least 401 minutes per month.

Benjamin is making patches for a quilt. He makes a triangular-shaped patch like the triangle shown. Which of these rectangular patches has the same area as the triangular patch? (Choose all the correct answers.)

Answers

Answer:

A F E.....???

Step-by-step explanation: i hope this helps!

Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.

Answers

It is irrational because it can’t be written as a fraction.

Marion is 3 feet tall. She is 4 inches taller than her brother Elijah.She is 1 1/4 feet shorter than her sister Lorie. How tall are Elijah and Lorie, Show your work. (1 foot = 12 inches) ​

Answers

Answer:

3-4 inch= 2.8feet

11/4 = 2.75

2.8-2.75=0.05

Elijsh=2.8

lorie= 2.85

Expand the following
b) 3(2x + 3)

Answers

Answer:

6x+9

Step-by-step explanation:

3 x 2x =6x

3x3=9

=6x+9

Answer:

ans is 6x+9

Step-by-step explanation:

3 (2x+3)

=6x+9

Select the correct answer.
Which statement is true for the numbers 2.5 and -2.5?

Answers

Answer:

B (on a number line, -2.5 is located on the left of 0 and 2.5 is located on the right)

Step-by-step explanation:

On a number line, negative numbers are placed to the left of 0 (less than 0) while positive numbers are placed to the right of 0 (greater than 0)

2. If the price of that t-shirt drops by 6 dollars, I will be able to buy 3 of them with my $24 dollars. How much is the t-shirt now?

Answers

Answer:

the current price of the shirts is $14

Step-by-step explanation:

24÷3 is 8 so they would be $8 each if they could afford to buy 3. so if its currently $6 more then it is $14 because 8+6=14

Which statements are true about the rules of multiplication for signed numbers? Check all that apply.

Answers

Answer:

i think that 1, 3 and 4 are correct !!

Step-by-step explanation:

youre welcome, have a nice day!

NOTE: next time please provide the list of choices so it can be easier to help you

Answer:

1  3  4

Step-by-step explanation:

edge 2021

Which statement about the points (0, 3), (2, 8), (8, 2), and (0, 1) is true?
All but one of the points is on the x-axis.
The points (0, 3) and (0, 1) are located on the same axis.
All but one of the points are in Quadrant I.
The point (8, 2) is the closest to the x-axis.

Answers

Answer:

The points (0, 3) and (0, 1) are located on the same axis.

Step-by-step explanation:

coordinates are in the format (x, y) where x is how far it is on the x axis and y is how far it is on the y axis.

x axis is the horizontal (left and right)

y axis is the vertical (up and down)

The sum of the digits of a two-digit number is less than the value of the original two-digit number.

Answers

Answer:

38

Step-by-step explanation:

3+8=11

11<38

guys help how do i do this please hurry

Answers

Answer:

45 Degrees

Step-by-step explanation:

CEA and DEB are equal and AEF and BEG are equal hence 25+20 is 45

Step-by step explanation:

             Statement                                              Reason                  

    ∠AEF = 25°                              Vertically opposite angles     ∠AEC = 20°                             Vertically opposite angles

⇒ ∠AEC + ∠AEF = x

Substitute the values to find x.

⇒ ∠AEC + ∠AEF = x⇒ 20° + 25° = x⇒ x = 45°

Which expression is equivalent to 56÷7?

Answers

Is this a multiple choice question?

On Nick’s playlist,5/12 of the songs ore pop what fraction of the songs are not pop used exercises 1-3 ton answer the question

Answers

Answer:

7/12

Step-by-step explanation:

umm the question is confusing but this is the answer i got if i understood it correctly

7.Lin wants to empty her hot tub to clean it. She has a 300 gallon hot tub and
empties it at a rate of 20 gallons each minute. Which equation(s) represent this
situation. Check all that apply.
y=300-20%
y=20x+300
y=-20x300
y=-20x-300

Answers

the answer is y=-20x-300

pls help will mark brainlest

Answers

Answer:

6/12

Step-by-step explanation:

there is a total of 12 boxes and six are colored so 6/12

PLEASE RATE!!

Answer:

  (a)  5/12

Step-by-step explanation:

The product of the fractions is the portion of the figure that is "doubly-colored." We notice the top half of the figure is colored yellow; the left 5/6 of the figure is colored blue. The 5 of 12 rectangles at upper left are green, indicating a combination of yellow and blue coloring.

The product is shown as 5/12.

What is the missing side length in this right triangle? 9 in & 12 in

Answers

The length of the hypotenuse is 15 feet.



Explanation


9 x 9+12

81+144


225/2

15

15 is the value of the missing side of the right-angled triangle.


What is a right-angle triangle?

An isosceles triangle, which consists of a pair of sides as well as sides with angles identically, is additionally recognized as a right triangle. Two 45° angles and a 90° angle make up a right isosceles triangle. The triangle's three sides add up to 180 degrees in total.

The information that is provided is with respect to the right triangle:

Side 1 is given as = 9

Side 1 is given as = 12

Applying the Pythagoras theorem:

[tex]H^{2} = S1^{2} + S2^{2} \\= 9^{2} + 12^{2} \\\\= 81 + 144\\=225\\h = \sqrt{225} \\h = 15[/tex]

Learn more about right-angle triangles, here:

https://brainly.com/question/3772264

#SPJ2

A rectangular frame has width 7 inches longer than its length. What is the width of the painting if it’s area is 18in^2

Answers

Answer:

9 inches

Step-by-step explanation:

I'm in desperate need of help, my other questions is worth 29 points. NO LINKS
Can someone please help me?
3. A quadratic relation has an equation of the form = ( − )( − ). Determine the value of
when:
a) the parabola has zeros at (4,0) and (2,0) and a y – intercept at (0,1)
b) the parabola has x – intercepts of (4,0) and (-2,0) and a y – intercept at (0,-1)
c) the parabola has zeros at (5,0) and (-3,0) and a minimum value of -10.

Answers

Answer:

Step-by-step explanation:

a) y = a(x - 4)(x - 2)

x = 0, y = 1, so 1 = a(-4)(-2) = 8a, a = 1/8

so y = (x - 4)(x - 2)/8

b) y = a(x - 4)(x + 2)

x = 0, y = 1, so 1 = a(-4)(2) = -8a, a = -1/8

so y = -(x - 4)(x + 2)/8

c) y = a(x - 5)(x + 3)

y = a(x² - 2x - 15) = a(x² - 2x + 1 - 16) = a[(x - 1)² - 16]

when x = 1, y has a minimum value -16a

so -16a = -10, a = 5/8

so y = 5(x - 5)(x + 3)/8

Quickly plzzz F=3. G=-4. H=5. Evaluate equation plzz

Answers

Answer:

-4

Step-by-step explanation:

| f+g| - h

F=3. G=-4. H=5.

| 3 + -4| -5

| -1| -5

The absolute value of -1 is 1

1 -5

-4

What is the value of x?

Answers

Answer:

12

Step-by-step explanation:

(10x - 20) + (6x + 8) = 180

16x - 12 = 180

16x = 192

x= 12

Hi there!

This is an example of supplementary angles, angles that sum up to 180° (they form a straight line).

Summing these two angles up equals 180°, so:

180° = (10x - 20)° + (6x + 8)°

We can drop the ° sign for ease of solving.

180 = 10x - 20 + 6x + 8

Combine like terms:

180 = (10x + 6x) - (20 + 8)

180 = 16x - 12

Add 12 to both sides:

192 = 16x

Divide both sides by 16:

192/16 = 16x/16

x = 12°

Which line has a slope of -3 over four and a Y intercept of three over two

Answers

Where is the picture to this ?

10-(3x-1)/2=(6x+3)/11
If someone could help that would be great thank you!

Answers

If it is :

[tex]10 - \frac{ (3x - 1)}{2} = \frac{(6x + 3)}{11} \\ [/tex]

Multiply both sides by 22

[tex](22 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]

[tex]220 - 33x + 11 = 12x + 6[/tex]

[tex] - 33x + 231 = 12x + 6[/tex]

Plus both sides 33x

[tex]231 = 33x + 12x + 6[/tex]

[tex]231 = 45x + 6[/tex]

Subtract sides minus 6

[tex]231 - 6 = 45x[/tex]

[tex]45x = 225[/tex]

Divided sides by 45

[tex]x = \frac{225}{45} \\ [/tex]

[tex]x = 5[/tex]

_________________________________

If it is :

[tex] \frac{10 - (3x - 1)}{2} = \frac{6x + 3}{11} \\ [/tex]

Multiply sides by 22

[tex](11 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]

[tex]110 - 33x + 11 = 12x + 6[/tex]

[tex] - 33x + 121 = 12x + 6[/tex]

Plus sides 33x

[tex]121 = 12x + 33x + 6[/tex]

[tex]121 = 45x + 6[/tex]

Subtract sides minus 6

[tex]121 - 6 = 45x[/tex]

[tex]45x = 115[/tex]

[tex]x = \frac{115}{45} \\ [/tex]

[tex]x = \frac{23}{9} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

22nd term: -2, -5, -8, -11, -14

Answers

Answer:

The pattern goes by adding -3.

Using the arithmetic sequence, you can find the 22nd term.

[tex]t_{22} = -2+(22-1)(-3)\\t_{22} = -2+21*-3\\t_{22} = -2-63\\t_{22} = -65[/tex]

Find the distance between 3 3/8
and −4 5/8
on a number line. Write your answer in simplest form.

Answers

Answer:

  8

Step-by-step explanation:

The distance can be found by subtracting the left number from the right number:

  (3 3/8) -(-4 5/8) = (3 3/8) +(4 5/8)

  = (3 +4) +(3/8 +5/8) = 7 + 8/8

  = 8

The distance between the points is 8 units.

True or false? sin 45° cos 30° − cos 45° sin 30° = sin 60° cos 45° − cos 60° sin 45°.

Answers

Answer:

The statement is false.

How far is lakeview from avon

Answers

Answer:

They are about 45.19 miles apart.

Step-by-step explanation:

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

a² + b² = c²

-> c is the hypotenuse, a and b are both legs (the other two sides)

a² + b² = c²

19² + 41² = c²

361 + 1,681 = c²

2,042 = c²

[tex]\sqrt{2,042}[/tex] = c

45.19 miles ≈ c

c ≈ 45.19 miles

     They are about 45.19 miles apart.

A school paid $35.25 for each calculator if the school bought x calculator how much did they pay

Answers

Answer:

they pay $x*35.25

Step-by-step explanation:

this is the answer

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