Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 4 ← is in slope- intercept form

with slope m = - 1

5x - 5y = 20 ( subtract 5x from both sides )

- 5y = - 5x + 20 ( divide all terms by - 5 )

y = x - 4 ← in slope- intercept form

with slope m = 1

Thus product of their slopes is - 1 × 1 = - 1

Therefore the lines are perpendicular


Related Questions


I am a two digit prime numberThe number 5 less than me is a multiple of 11.
Which number am I?

Answers

Answer:

17

Step-by-step explanation:

22 is a multiple of 11 and 22-5 is 17

You could be 28 because 33 is a multiple of 11 and 33 - 5 is 28!!!

What is the slope of any line that is perpendicular to the line that contains the points (8, 8) and (12, 12)?

Answers

Answer:

slope(m)=-1

Step-by-step explanation:

let the point (8,8) and (12,12) be ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex])

slope of point([tex]m_{1}[/tex])=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

                             =(12-8)/(12-8)

                            =1

let the slope of perpendicular line to given point be [tex]m_{2}[/tex]

now ,

    [tex]m_{1} m_{2}[/tex]=-1

  so [tex]m_{2}[/tex]=-1

lisa purchased almonds for 3.50 per round. she spent a total of 24.50, how many pounds of almonds did she purchase?

Answers

Answer:

7 pounds

Step-by-step explanation:

In order to find the answer to this question add the cost of a pound worth of almonds to the total amount of money she spent altogether in till you cannot add anymore.

[tex]3.50+3.50=7.00[/tex]

[tex]7.00+3.50=10.50[/tex]

[tex]10.50+3.50=14.00[/tex]

[tex]14.00+3.50=17.50[/tex]

[tex]17.50+3.50=21.00[/tex]

[tex]21.00+3.50=24.50[/tex]

=[tex]7lb[/tex]

Check work:

[tex]3.50\times7=24.50[/tex]

Hope this helps

Answer:

Step-by-step explanation:

3.50 per pound

Let each pound represent x

Total of almonds bought is 24.50

therefore 3.50x = 24.50

x = 24.50 ÷3.50

x= 7

A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares, x, and the
perimeter, y, of the rectangles they form
Select all the true statements about this relation.

Answers

Answer:

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, [tex] y = 4x + 4 [/tex].

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4 [/tex].

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

[tex] y = 4x + 4 [/tex].

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, [tex] y = 4x + 4 [/tex], represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

The true statements are:

(a) The equation of the function is [tex]\mathbf{y = 4x +4}[/tex](c) The relation is a function(e) The graph is linear

(a) The equation of the function

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{12 - 8}{2 -1}}[/tex]

[tex]\mathbf{m = 4}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 4(x -1) + 8}[/tex]

[tex]\mathbf{y = 4x -4 + 8}[/tex]

[tex]\mathbf{y = 4x +4}[/tex]

Hence, this statement is true

(b) The graph is nonlinear

Because of (a) above, the graph is linear

Hence, this statement is false

(c) The relation is a function

A linear relation is a function

Hence, this statement is true

(d) The rate of change is not constant

Because of (a) above, the rate of change is constant

Hence, this statement is false

(e) The graph is linear

Because of (a) above, the graph is linear

Hence, this statement is true

Read more about linear relations at:

https://brainly.com/question/7988877

Help plz. I’ve been stuck for almost a hour

Answers

Answer: x=10 and y=25

Step-by-step explanation:

ok, so since we know straight angles=180 degrees, so since one part=100, the other smaller angle=80. This means that 11x-30=80 and 5y-25=100. 11*10=110, and 110-30=80, so x=10. 5*25=125, and 125-25=100, so y=25. And lol. me too. When I used to do these problems, I was stuck for a very, very long time. Just try to use logic most of the time.

Answer:

y = 25 and x = 10

Step-by-step explanation:

the angles on top and on bottom are equal so...

5y - 25 = 100

5y - 25 + 25 = 100 + 25

5y = 125

5y/5 = 125/5

y = 25

Every line is 180 degrees so we know that if the top and bottom angles are 100 then the other angles need to equal 80

11x - 30 = 80

11x - 30 + 30  = 80 + 30

11x = 110

11x/11 = 110/11

x = 10


Which ordered pair(s) are solutions to the function f(x) = 6x-4

Answers

Answer:

(Look at comments)

Answer:

jnkj

Step-by-step explanation:

As you can see I NEED HELP!

Answers

-14 is right after -15

-3 is the 3rd point left of 0

-8 is the 8th point left of 0

PLEASEEE PLEASE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:  3. Distributive

Step-by-step explanation:

 

3(x -2y) = 3x - 6y   To get from  left to rigth, you have to multiply them which is the same as distribitue.

3(x) - 3(2y) = 3x - 6y

–13x − 15y = –18
to slope intercept form

Answers

Answer:

y= - 13/15x + 6/5

Step-by-step explanation:

Y=-13/15x+6/5 point final

Suppose you deposit $3,000 in a savings account that pays 3.5% interest compounded quarterly. If no other money is added or withdrawn from the account, how much will be in the account after 5 years?​

Answers

Answer:

$3,080

I Don't know how to deal with money.

PLEASE MARK BRAINLIEST

Please help!!!!! Urgent!!!!!

Answers

It’s b and c


Have a good day :)

In ANOP, NO – PN and mZN = 140°. Find mZP. Please help me!

Answers

Answer:

20°

Step-by-step explanation:

If m∠N = 140° and NO = PN , then m∠O = m∠P = (180° - 140°) / 2 = 20°

give one seggestion to avoid cyber bullying ​

Answers

BEING CAREFUL WHILE USING THE INTERNET

Answer:

Never post personal information Always check the TO: field Don't be gullible Don't respond to an angry message with anger Never open messages from strangers Don't forward chain mails, hoaxes or long emails Use the BCC: field when forwarding messages Proofread your messages Beware of certain topics Don't post anything that is very private

6.2 x 0.6 worth 25 points have a good day!

Answers

Answer: 3.72

Explanation:

6.2
*0.6
———
372
-000
———
3.72

In a school there are 1500 boys and
some are girls. If the number of boys
are 75%, calculate the number of girls

Answers

Answer:

Step-by-step explanation:

If there are 1500 total students.

75% or 1125 are boys

25% or 375 are girls.

list a few factors of 24?

Answers

Answer:

1,2,3,4,6,8,12,24

Step-by-step explanation:

2/3 - 1/5
answer pls​

Answers

The answer would be 7/15

Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 15°, and the angle of depression from his line of sight to the bottom of the screen is 22°. Find the height of the entire screen. Do not round any intermediate computations. Round your answer to the nearest tenth.

Answers

Answer:

12.8 m

Step-by-step explanation:

From the diagram :

Height PR = 19m

Using Pythagoras :

From triangle PQR:

QR = x

Tan θ = opposite / Adjacent

Tan 22° = x / 19

x = tan 22° * 19

x = 0.4040262 * 19

x = 7.6764982 m

From triangle PRS:

SR = y

Tan θ = opposite / Adjacent

Tan 15° = y / 19

y = tan 15° * 19

y = 0.2679491 * 19

y = 5.0910346

Height of entire screen :

(7.6764982 + 5.0910346) m

= 12.7675328 m

= 12.8 m

Find the area of quadrilateral ABCD and RST.

Answers

Answer:

ABCD is 6 units 2×3=6

im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.

We can see here that the area of quadrilateral ABCD = 12 units².

While the area for triangle RST = 5 units².

What is quadrilateral ?

A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.

Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².

Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².

Learn more about quadrilateral on https://brainly.com/question/23935806

#SPJ2

An unknown number is not equal to 6.45 but rounds to 6.45 when rounded to the nearest hundredth. Which of the following could be the unknown number?
6.454
6.443
6.405
6.045

Answers

The answer is 6.454

Pls mark brainliest

Answer:

The answer is 6.454

mark brainliest,

simplify:29√3(3 – 1)

Answers

29/3(3-1)

29/3(2)

29/(6)

29/6

3 John said that 3/50 equal to 0.006. What was his mistake?

Answers

3/50=0.06, not 0.006, so i i believe it’s a, he moved the decimal 3 places instead of 2

slope of (-4,13) and (6,-2)

Answers

Answer:

-3/2

Step-by-step explanation:

You can do this using slope formula, y2-y1/x2-x1.

We first substitute in the numbers--> -2 - 13/ 6 - (-4)

Then we simplify to get--> -15/10 = -3/2

You could also graph the points and find the rise over run.

Hope this helps!

factor 2x+2y by removing a common factor

Answers

Answer:

2(x+y)

Step-by-step explanation:

9x - 4 = 5x - 4 + 4x

Answers

Answer:

X = 1

Step-by-step explanation:

HOPE THIS HELPS

am i answering the same question over and over again?

whatever

PLZ MARK BRAINLIEST

Choose the graph of this equation.

Answers

Answer:

C

Step-by-step explanation:

the y-intercept is -2 and the slope is up 3 left two which is -3/2

the sum of two numbers is 18 their difference is 8

Answers

Answer:

13 and 5

Step-by-step explanation:

x+y=18

x-y=8

_____

2x=26

x=13

So the first number must be 13

13+y=18

y=5

And the second number must be 5

When we write out the system of equations, we will get:

x+y=18

x-y=8

 We can then use elimination to get just one variable.

 x+y=18

+x-y=  8

 Which gives us:   2x=26

 We then divide by 2 and get:    x=13

 We next plug that into one of the two equations and solve for the other variable:    (13)+y=18

We subtract 13 from both sides and get:   y=5

So the two numbers are 13 and 5.

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

a = -5 b= 7
-2b + a

( Worth 10 points)

Answers

The answer is -19....

Answer:

-19

Step-by-step explanation:

so you are just going to substitute in -5 for a and 7 for b.

-2(7)+ (-5)

(-2x) x 8x
Urgent!!

Answers

Step-by-step explanation:

multiply both the variable

The prime factorizations of 16 and 24 are shown below. 1 Prime factorization of 16: 2, 2, 2, 2 Prime factorization of 24: 2, 2, 2, 3 Using the prime factorizations, what is the greatest common factor of 16 and 24?

o 2

o 2'2

o 2'2'2

o 2'2'2'2'3​

Answers

0 q
02’2 it is the third option
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