the lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

Answers

Answer 1

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂


Related Questions

Keith has $500 in a saving account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 (that means he takes $25 out of) from his account each week for food, clothes, and movie tickets.

Answers

Answer:

keith is poor

Step-by-step explanation:

sorry

Starting out 1 PM the temperature changes -4°F per hour write and solve an equation to determine how long it will take for the temperature to reach -1°F F at1 PM the temperature is 35°F

Answers

Answer:

i dunno man you worded it weird

Step-by-step explanation:

Please help! Thanks!​

Answers

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

name 2 types of subtraction

Answers

The terms of subtraction are called minuend and subtrahend
- Taking away
- Part-whole
- Comparison

Hope this helps! :D

Make Sense and Persevere Paxton, a summer camp counselor, has a budget of $300 to spend on caps and T-shirts for a summer camp.
plz help this is due soon!!!

Answers

Answer:

9 shirts and 10 caps

Step-by-step explanation:

Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.

PLEASE HELP! WILL GIVE 25 POINTS AND BRAINILEST FOR CORRECT ANSWER. True or False and why? If a quadrilateral has four sides all of which are congruent, then the quadrilateral is a parallelogram.

Answers

I think it’s false due to the sides being congruent instead of parallel but I’m not sure I forgot all of my 3rd grade math

find the slope of the line​

Answers

Answer:

Up 5, 2 to the right (5/2)

Step-by-step explanation:

I just counted the units of the Cartesian Plane

Stephanie is giving a presentation to a new client. It took her 1713 minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?

Answers

Answer:

Time taken per slides = 131.77 minutes.

Step-by-step explanation:

Given the following data;

Total time, t = 1713 mins

Number of slides, n = 13

To find the amount of time spent on each slides;

Time taken per slides = t/n

Substituting into the equation, we have;

Time taken per slides = 1713/13

Time taken per slides = 131.77 minutes.

Therefore, the amount of time Stephanie spent on each slide is 131.77 minutes.

It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.

Equation

Equation is used to show the relationship between two or more numbers and variables.

Le x represent the amount of time spent on each slide.

Given that she spent  13 minutes to finish a 13-slide presentation. Therefore:

13x = 13

Divide through by 13:

13x/13 = 13/13x = 1

It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.

Find out more on equation at: https://brainly.com/question/13763238

Does this graph represent a function ?

Answers

I’m not sure but I think the answer is no. I say no because it is not a straight line with constant change.
I think the answer is no

A retailer marks up their furniture 33% over wholesale prices. If a dresser costs $975 wholesale, what does the retailer charge?

Answers

Answer:

$1296.75

Step-by-step explanation:

PLZ help. I need this today.

Answers

Answer:

X=16

Step-by-step explanation:

6x=32+64

6x= 96

X= 16

HELP!!!!

The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?

A. 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents

B. 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents

C. 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents

D. 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A/or 4x + 89.95 = 628.35; x = $134.60

Step-by-step explanation:

barney has 14 dimes and quarters worth $2.15. write the system of equations

Answers

Answer: 14 dimes and 3 quarters

Step-by-step explanation:

14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters

5. Solve for x.
13
5
X
(a) If x=8 draw the
following nose and
mustache.
(b) If x=12 draw the
following nose and
mustache.

Answers

Answer:

12.

Step-by-step explanation:

According to Pythagorean's Theorem, x^2+25=169. If you subtract 25 from both sides, you might get x^2=144. You then square both sides and get that x=12.

What is the length of AC?

Answers


7/x = 84 / (156 -x)
84x = 7(156 -x)
84x = 1092 - 7x
91x = 1092
x = 12

AC = 156 - 12 = 144

answer
D. 144

I can't figure this out :/

Answers

Answer:

I believe it is d because when you get to negatives they are always on the left side

Step-by-step explanation:

Use the distributive property to remove the parentheses.
3(u + 7)


doing a test pls answer quick !!!

Answers

3u + 21 divide 3 by both sides and your answer would be u= 7 :)

-5x+3y>9 help me plesese

Answers

Answer: x < 3/5 y + -9/5

Step-by-step explanation:

is provided below :)

Mr. Hoagie's Sandwich Shop charges a 9% delivery fee on all orders. If your food costs $27.50, what should you expect your total bill to be if it includes the delivery fee?

Answers

Answer:

$36.50

Step-by-step explanation:

9% of 27.50= 9. Adding the $9 fee, $36.50 is your total price. Hope this helped.

Keegan and Annie are working on an experiment in the
science lab. Their mixture contains ingredients that weigh
5.12 grams, 4.7 grams, and 7.32 grams. Keegan calculates
the combined weight to be 17.14 grams; Annie calculates
it to be 12.91 grams.
Who is correct, and why?
5.12
4.70
Keegan
+7.32
17.14
5.12
4.7
Annie
+7.32
12.91
O A. Keegan is correct. Annie did not regroup properly,
O B. Annie is correct. Keegan did not line up the decimals correctly.
C. Keegan is correct. Annie did not line up the decimals correctly.
D. Annie is correct. Keegan did not regroup properly.

Answers

Answer:

me name mort am swag

Step-by-step explanation: me my mom. she say help the noob. am no help you. doodoo pants.

If∠

Answers

Answer:

where is tge other half question?

pls help I'm gonna give brainliest but just help pls I need to do this but I don't get it.
A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?

Answers

Answer:

They travel 5/18 in one hour

Step-by-step explanation:

Answer:

In an hour the car can cover 5/18 of the distance

A shoe store uses a 40​% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$71​?

Answers

Answer:

99.40

Step-by-step explanation:

$71 * .4 = $28.40

$71 + $28.40 = 99.40

Answer:

The selling price would be $99.40

If anybody can solve this i will give you brainliest

8(4y+4)

Answers

It is equal to 32y+32 if you wanted to simplify it.

Answer:

32y + 32

Step-by-step explanation:

8 × 4y + 8 × 4

A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from ils starting point?​

Answers

Answer:

132 miles

Step-by-step explanation:

Answer: the answer is 93.7 miles

Please help I’m stuck

Answers

Answer:

23

hope it helps u :)

Step-by-step explanation:

2x+13

x=5

=2×5+13

=10+13

=23

Answer:

23

Step-by-step explanation:

When I was first introduced to algebra, One thing that had me stumped for the longest time is terms like "2x".  This is because nobody explained to me that saying "2x" and similar terms implies a multiplication.  so "2x" actually means "2 × x".  I only mention this because I thought maybe it would help.

To solve it then, all we need to do then is think of "x" as meaning five, and it being multiplied by 2

We're given this:

[tex]2x + 13[/tex]

which you can also read as this:

[tex]2 \times x + 13[/tex]

We're told x equals five, so we can say:

[tex]2 \times 5 + 13[/tex]

Remember when solving this, that multiplication and division always come before addition and subtraction, so let's do the multiplication:

[tex]10 + 13[/tex]

and then add it up:

[tex]23[/tex]

So the final answer is twenty-three.

How to solve stacked similar figures

Answers

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.

Which expression is equal to 6(−3m)4​

Answers

Answer: -18m x 4 (I think)

Step-by-step explanation:

If this isn’t correct, what you have to do is simplify, hopefully this helps

Evaluate f(x) = - 3x - 4 for x = 1 .

Answers

[tex]f(x)=-3x-4[/tex]

Substitute x = 1 in the equation.

[tex]f(1)=-3(1)-4\\f(1)=-3-4\\f(1)=-7[/tex]

Therefore, the answer is f(1) = -7

add my sc guys its jg5690

Answers

Betttttttttttttttttttttttttttt
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