determine if the lines are parallel, perpendicular, or neither. x - y = 4 and x + y = 9

Answers

Answer 1

Answer:

Perpendicular

Step-by-step explanation:

What I would do first is to rearrange these equations into the equation of a line formula: [tex]y=mx+c[/tex]

To do so, we isolate y:

x - y = 4 -> -y = -x+4 -> (multiply both sides by -1) y=x-4

x+y=9 -> y=-x+9

We know that in the formula y=mx + c, m stands for gradient of a line (The degree of steepness of the line), and we know that if there is no number before x it means that it is 1 or -1 (depending on the sign before x).

so that on y=x-4 the gradient is 1 and on y=-x+9 the gradient is -1.

We now can check if its parallel, perpendicular or neither with these equations:

m1 · m2 = -1 for perpendicular,   m1 = m2  for parallel,(where m = gradient)

we plug the values of the two gradients into the first equation

(m1 · m2 = -1) and it fits: 1 x -1 = -1

If we plug the same values into the second equation (m1 = m2), we can check that 1 ≠ -1

In conclusion, we can check that these lines are perpendicular to each other.


Related Questions

question 8, thanks guys

Answers

Answer:

B.

Step-by-step explanation:

Use the multiplication table of 12 and find that 5x12=60. Answer B is the only one that has that.

the answer is B, each interval goes up by 12 so the incline would be, 12,24,36,48,60

please help MATH EXPERTS ASAP 7th GRADE MATH

Answers

Answer:  7013 m^2

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Rita is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $3. She will sell the cards for $11 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?

Answers

Step-by-step explanation:

we need to find the number n of sold boxes, so that the income (sales) and costs (expenditures) are equal. this is called the break even point. any more boxes sold will then result in a profit, actually gaining money. and if she cannot reach that number of sold boxes, then she will make a loss.

so,

n×11 = n×3 + 24

n×8 = 24

n = 3

it will take 3 sold boxes of cards to break even.

at that point she will have spent $24 + 3×$3 = $33, and her sales will be 3×$11 = $33.

Find the rate of change

Answers

Step-by-step explanation:

(x1,y1) = (-1,-1)

(x2,y2) = (2,-2)

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

m = (-2 + 1)/(2 + 1)

m = -1/3

Option → C

What is the Answer to b)

Answers

Answer:

You have to substitute so the answer to b will be - 41/128

Which is equal to 60060
60,000+60
60+1000+600
Help me asap .

Answers

Answer:

The first one, 60,000+60

Step-by-step explanation:

Can someone tell me the answer

Answers

Answer:

31 1/4

Step-by-step explanation:  

Use a property of equality to solve this equation:

4.5x = 18

x =

Answers

Answer: 4

Step-by-step explanation: 4.5x = 18

x = 18/4.5

x = 4

Would appreciate brainliest <3

4.5x=18
move 4.5 to the other side of the equal sign and it becomes dividend
x=18/4.5
x=4

What is the equation of the line?

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

6trig review please help me

Answers

6 is a number known for being combined with 3 more 6's to create Satans Code

What is 3^-4 as a fraction?

Answers

Hello there!

Remember the Negative Exponent Law. If we have a number with a negative exponent, we flop it over.

So our answer looks like so:

[tex]\frac{1}{3^{4} }[/tex]

Therefore, our answer is: [tex]\frac{1}{3^{4} }[/tex]

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

[tex]SilentNature[/tex]

Answer:

1234567901/100000000000

Step-by-step explanation:

What is 3^-4 as a fraction?

3^-4 = 0.01234567901

as a fraction = 1234567901/100000000000

2x^2 - 16x + 13 in the form a(x-b)*2+c?

Answers

Answer:

y=2(x−4)2−19

Step-by-step explanation:

PLS BRAINLIEST

A bag contains 15 blue chips and 10 red chips. if one chip is drawn at random, what is the probability that it will be red?

A) 2/3
B) 3/2
C) 2/5
D) 3/5
E) 1/2

Answers

Answer: I’m pretty sure it’s c hope this helps

Step-by-step explanation:

a group of 3 people are sharing chocolates each person wants 8 chocolates and each box has 6 chocolates

Answers

4 boxes of chocolates are needed by the group.

If a group of 3 people are together, needing 8 chocolates each. This means that the total number of chocolates needed is 8 × 3 = 24.

Again, we are told that each box contains 6 chocolates. This means that to get the number of boxes needed, we have to divide the total number of chocolates needed by the number of chocolates per box.

Essentially, 24/6 = 4 boxes of chocolates

for more see https://brainly.com/question/21416852

Will give brainliest if right

Answers

Answer:

[Option 1] Wayne ascends at a faster speed

[Option 5] Wayne was deeper when he began ascending

Step-by-step explanation:

Taking out important pieces:

[] Wayne = y = 30x - 105

[] Winston = Table

[] They are going from negative to 0, so the slope is positive

Solving:

Let's fine out some points for Wayne, to make it easy, we will plug in the same x values in Winston's Table

y = 30x - 105 ->  y = 30(0) - 105 -> y = -105

y = 30x - 105 ->  y = 30(3) - 105 -> y = -15

So Wayne is (0, -105) & (3, -15), and from the table Winston is (0, -100) & (3, -16)

Answering:

Because at 3 seconds Winston was at -16 and Wayne was at -15, then option 1 is also correct.

Since Wayne started 5 feet deeper, option 5 is correct.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the domain of g?

Answers

What graph are you exactly referring to??
There are no pictures….. so I’m not sure

Write the fraction equivalent of each decimal. 3.75

Answers

15/4 or 3 3/4
3 = 12/4, .75 =3/4
12/4 + 3/4 = 15/4

Plz look at the photo

Answers

Step-by-step explanation:

y = 1/2 x - 2

The y-intercept is -2.

If the y-intercept is decreased by 4, then the y-intercept will become -6, and the equation will become

y = 1/2 x - 6

The graph will be translated 4 units down.

Can an octagon have interior angles that measure 100 degrees, 156 degrees, 125 degrees, 90 degrees, 175 degrees, 160 degrees, and 140 degrees? Explain.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

Answer:

yes because the 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

Step-by-step explanation:

hope this helps

Reagan saves $124. 00 in 4 weeks. At this rate, how much money will Reagan save in 16 weeks?.

Answers

Answer:

496

Step-by-step explanation:

Multiply the 124 by 4 since there are 4 sets of 4 weeks in 16 weeks.

495
That’s the answer I got

"five more than the product of four and a number is
equal to the product of three and that same number
increased by six."
A. X=-1
B. X= 1
C. X= 3
D. X= 1/2

Answers

Answer:

B

Step-by-step explanation:

Let the number = x

Product: 4 * x

Add 5: 4x + 5

=

3x + 6

Now equate the two parts.

4x + 5 = 3x + 6               Subtract 5 from both sides

4x + 5 - 5 = 3x + 6 - 5   Combine

4x =  3x + 1                    Subtract 3x from both sides

4x-3x=3x -3x + 1          Combine

x = 1

If f(x) = 2x^2-4 find f(-1)

Answers

f(-1) = 2·(-1)^2-4

      = 2 (1) - 4

      = 2 - 4

      = -2

A rectangle has a width of 1/5 and a length of 10x-15

Write the perimeter of this rectangle in simple form

Write the expression that represents the are of the rectangle

and

What would be the perimeter if x=10 Show your work and circle your final answer

They have three different section so answer each section

Answers

Answer:

Step-by-step explanation:

Perimeter:

Perimeter = 2*(length +width}

                [tex]=2*(10x-15+\dfrac{1}{5})\\\\\\=2*(10x - \dfrac{15*5}{1*5}+\dfrac{1}{5})\\\\\\=2*(10x -\dfrac{75}{5}+\dfrac{1}{5})\\\\\\=2*(10x -\dfrac{74}{5})\\\\= 20x - \dfrac{148}{5}[/tex]

Area:

        Area  = length * width

                 [tex]= \dfrac{1}{5}*(10x-15)\\\\\\=\dfrac{1}{5}*10x - \dfrac{1}{5}*15\\\\\\=2x - 3[/tex]

x = 10

Perimeter = 20*10 - (148/5)

                 [tex]=200- \dfrac{148}{5}\\\\= \dfrac{200*5}{1*5}-\dfrac{148}{5}\\\\=\dfrac{1000-148}{5}\\\\=\dfrac{852}{5}\\\\=170.4[/tex]

Answer:

1.)-29 3/5 + 20x 2.)2x-15 3.)85 1/5

Step-by-step explanation:

you have 4 sides of a rectangle and to solve for the perimeter of a rectangle you have to add up all four sides. you have the width of the rectangle and the length. SO add them up once then multiply it by two.

If your trying to find the area you multiply L*W=A^2 so just multiply your length and width.

If the x was 10 just plug in you x and solve.

It gets tricky with the variable x and I'm guessing that's where you getting caught up.

for the first one you would have 1/5 + 10x - 15 then you want to multiply it by two getting -29 3/5 + 20x that's the equation you'd use for the first expression.  for the second one you want to find the area so 1/5 * 10x-15 you'd then want to simplify it which would be 2x-15

and for the third one. You have the length and the width so the perimeter is calculated by (1/5 + 10(10)-15)2 1/5+100-15  and you get 85 1/5

Sorry if this is wrong.

Triangle PQR is similar to triangle STU. Find the measure of side TU. Figures are not drawn to scale.

Answers

Step-by-step explanation:

when 2 triangles are similar, it means that both have the same angles. and that then all the corresponding side lengths relate to each other by the same multiplication factor.

PQ and ST are corresponding sides.

the length of ST (4) is the length of PQ (16) multiplied by 1/4.

16 × 1/4 = 4.

the same factor (1/4) also applies to the other sides.

and therefore,

TU = QR × 1/4 = 19.2 × 1/4 = 19.2/4 = 4.8

bag contains 5 blue, 12 black, 6 red, and 7 green marbles. If one marble is chosen at random the probablity that it is NOT blue is
A)1/25
B)1/6
C)2/5
D)5/6

Answers

Answer:

D. 5/6

Step-by-step explanation:

There are 30 marbles

If you add the black, red, and green marbles together, you get 25

25/30 is equivalent to 5/6

Two colored spinners are spun.

R: red

B: blue

G: green

Y: yellow

(A) What is the probability of getting the same colors from both spins?

Answers

Visually it’s red, however it is red. 1/4 + 1/2 = red, 1/6 + 1/2 is green.
Red = 3/4 = 75%
Green = 4/6 = 2/3 = 67%

could someone explian to me how to do these two? i’m not sure if i’m doing it right plz help

Answers

Step-by-step explanation:

Before I discuss how to graph both equations, I believe that it is essential to understand the variables and constant related to linear equations.

The slope-intercept form is: y = mx + b, where:

m = slope (which tells you the steepness of the line).

b = y-intercept: this is the point on the graph where it crosses the y-axis. Its coordinates is always formatted as, (0, b). The b is the y-coordinate of the y-intercept that you use for the equation.

The standard form of linear equations is: Ax + By = C, where:

A, B, C are integers (whole numbers, and cannot be in fraction or decimal forms).  A and B ≠ 0, and A must be a positive integer.

Now that I have defined what the slope-intercept and standard form of linear equations are, we can proceed with working on graphing both equations.

7. y = -6x - 4

In this equation, the slope (m) = -6, and the y-intercept (b) = -4.  As an ordered pair, the y-intercept is (0, -4). In order to graph this equation, start by plotting the y-intercept on the graph. Then, use the slope (rise over run) to plot other points on the graph (6 units down, 1 unit run). Your next point should occur at (1, -10).

You could simply connect these two points and draw a line, or plot another point on the graph using the slope technique mentioned in this post.

8. 3x - 4y = 12

This equation is in standard form, Ax + By = C.  It is easier to graph a linear equation when it is in its slope-intercept form, y = mx + b.

In order to transform this equation into its slope-intercept form, start by subtracting 3x from both sides of the equation:

3x - 4y = 12

3x - 3x - 4y = - 3x + 12

-4y = -3x + 12

Next, divide both sides by -4 to isolate y:

[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]

y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is b = -3.

Similar to how we graphed the equation from question 7, start by plotting the y-intercept, (0, -3). Then, use the slope of the equation, m = ¾ (3 units rise, 4 units run) to plot the next point. The next point should occur at (0, 4).

Attached are the graphed equations.  

The function rulе fоr {{0, 14), (1, 12), (2, 10), (3, 8), (4, 6)} is:
y=-2х + 6.
y=-2х + 14.
y=-2х +2.
None of these choices are correct.

Answers

the answer is y= -2x+14

question 2 please help me

Answers

Answer:

D. 0.682

Step-by-step explanation:

A line with a slope of –4 passes through the points (9,w) and (8,9). What is the value of w?

Answers

Answer:

5

Step-by-step explanation:

A slope of -4 means that for every x increase by 1, the y decreases by 4. so going from (8,9) to (9,w), w should be 9-4, which is 5

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