What is an equation of the line that passes through the point (-5,-4) and is perpendicular to the line 5x+6y=36

Answers

Answer 1

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!


Related Questions

Hugo sells handmade key chains online. Yesterday, he made 6 keychains in 30 minutes. Hugo wants to make 9 keychains today. If Hugo works at the same rate today, how long will it take him to make the keychains?

Answers

Answer:

45 minutes.

Step-by-step explanation:

Yesterday, he made 6 keychains in 30 minutes.

Hugo wants to make 9 keychains today. We need to find how long will it take him to make the keychains.

6 keychains = 30 minutes

1 keychains = (30/6) minutes

For 9 keychains,

[tex]9\ \text{keychains}=\dfrac{30}{6}\times 9\\\\=45\ \text{minutes}[/tex]

So, to make 9 keychains, it will take 45 minutes.

2xy+y-3xy whats the answer??

Answers

Answer:

-xy+y

Step-by-step explanation:

=2xy-3xy+y

=-xy+y

Answer: The answer is 16y I think

Step-by-step explanation:

WHO EVER HELP ME I WILL GIVE THEM BARINLEST

Answers

This is quite simple. Toby ran 5 units, and it says Kate ran 4 times Toby ran meaning the person ran [tex]4 * 5[/tex] so 20 units. Then it says Jim ran 3 times the units Kate ran. Meaning it would be [tex]3 * 20[/tex] which is 60 units. Hence Jim ran 60 units or 60 miles. :D

Kamila buys a dress for £30 in a sale. It was advertised "25%off". Kamila says"25% of £30 is £7.50 so i saved £7.50". Explain why is wrong ,and show that she has actually saved £10.

Answers

Answer:

She was wrong in her analysis because the sales discount of 25% is the discount on the original cost of the dress and not the purchasing cost of the dress as explained below:

Step-by-step explanation:

From the question:

Purchasing cost price of the dress = £30

However, this cost (£30) was after a 25% Sales Discount        

It, therefore, implies that £30 is equal to 75% of the cost price

75% of the original cost price  = £30

100% of the original cost price = (30 x100%)/75%

   Original cost price                 = £40

Therefore the 25% discount / savings on the cost

                                                     = £ (40-30)

                                                      = £10    

She saved £10 by buying the dress at £30 instead of the original cost of £40                                        

                                           

The meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50. If Jenna deducts this amount from the total, how much will each of the other people pay for their meal?

Answers

Answer: $12.61

Step-by-step explanation:

Given : Total cost of meal for 5 people = $52.95

Jenna ordered a dessert for $2.50.

Total cost other 4 need to pay = $ (52.95- 2.50) = $ 50.45

Now , each person will pay [tex]=\$\dfrac{50.45}{4}\approx \$12.61[/tex]

Hence, each of the other person need to pay $12.61 .

f(x) = -2(x - 1)(x + 3)

Answers

The answer is f(x)=4x^2+8x-12

Will give brainiest! Please help!

A study found that 27% of the fish in a river are trout, 36% are salmon, and 18% are sturgeon. If a large fish trap is set and it captures 200, what is the ratio of salmon to total fish, in lowest terms

Answers

Answer:

The ratio of salmon to total fish caught is 9 over 25.

Step-by-step explanation:

Start with what we know. We have 200 total fish caught and 36% are salmon. The rest is just mumble jumble so don't pay attention to that.

All we have to do is find 36% of 200, and the easiest way to do that is by first knowing that 36% of 100 is 36 so if we double that it will give us 36% of 200.

36 x 2 = 72

So, the ratio of salmon to total fish caught is 72 over 200. But, in simplest form is 9 over 25 because 72/200 divided by 4/4 = 9/25.

Hope this helps! If you have any additional questions please don't hesitate tp ask me or your teacher to be sure you really master this subject. Stay safe and please mark brainliest!

7f + 15 - 2g the answer?

Answers

4g=24

Step-by-step explanation:

For the following pairs of equations explain why the equations are equivalent. (or NOT!) 16=4(9-x) 16=36-4x

Answers

so we have 16=4(9-x) we calculate this equation

16=(4*9)_x*4

so 16=36-4x

wich means these 2 equations are equivalent

i need to know 2 divided by 9/10

Answers

Answer:

2 2/9

Step-by-step explanation:

2 divided by 9/10 = 2/1 / 9/10

2/1 x 10/9 = 20/9 = 2 2/9 or 2.222..

the scale of a map says that 6cm represents 15 km. what distance on the map represents an actual distance of 6 kilometres ​

Answers

Answer:

2.4 cm

Step-by-step explanation:

[tex] \frac{6}{15} = \frac{x}{6} \\ \\ 15x = 6 \times 6 \\ \\ 15x = 36 \\ \\ x = \frac{36}{15} \\ \\ x = 2.4[/tex]

the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^

Answers

Use the formula P = 2a+ b.

Let a = 12

Let b = 8

P = 2(12) + 8

P = 24 + 8

P = 32

Thank you! I appreciate it you can help!

Answers

Answer:

option A

Step-by-step explanation:

Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please

Answers

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

[tex] \overline{NM} = 20 [/tex]

[tex] \overline{MK} = 15 [/tex]

[tex] \overline{KN} = 25 [/tex]

[tex] \overline{TR} = 3x - 1 [/tex]

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:

[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]

c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:

[tex] \overline{TR} = \overline{NM} [/tex]

[tex] 3x - 1 = 20 [/tex] (substitution)

Add 1 to both sides

[tex] 3x = 20 + 1 [/tex]

[tex] 3x = 21 [/tex]

Divide both sides by 3

[tex] x = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]

Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]

[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]

[tex] Lk = \sqrt{9 + 16} [/tex]

[tex] Lk = \sqrt{25} [/tex]

[tex] Lk = 5 [/tex]

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]

[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]

[tex] LM = \sqrt{25 + 9} [/tex]

[tex] LM = \sqrt{34} [/tex]

[tex] LM = 5.8 [/tex] (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

solve for b and simplify 12=5/2b

Answers

Answer:

b = 24/5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

12 = 5/2b

Step 2: Solve for b

Rewrite:                                        5/2b = 12Divide both sides by 5/2:            b = 24/5

Step 3: Check

Plug in b to verify it's a solution.

Substitute:                    12 = 5/2(24/5)Multiply:                        12 = 12

The diagram below represents which percent?

An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%

Answers

Answer:

32 percent

Step-by-step explanation:

32 plus 68 =100

32 divided by 100 equals .32 or 32 percent

Answer:

Your answer is C, 32%

Step-by-step explanation:

It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.

Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in​ slope-intercept form, if possible.

Answers

Answer:  [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]

Step-by-step explanation:

Slope-intercept form: y=mx+c   (i) , of linear equations,  m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]

Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]

Slope of parallel lines are equal.

So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]

Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]

So, equation of required line:

[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]

Which of the following equations represents a line that passes through the points (−6,0) and (2,−4)

Answers

Answer: only 2 (y = -1/2x - 3)

Step-by-step explanation: so first find the gradient by doing y minus x and dividing

-4-0/2--6 which equals -1/2 so you know that -1/2 is your gradient. 2 is the only one with a gradient of -1/2x.

Hope this made sense. If not I'll explain again

A movie rental store charges a $6 membership fee plus $2.50 for each movie rented. What are the slope and y-intercept that represent the total cost?

Answers

There searched up please be correct

Answer:

domain (x) is equal to or greater than 0 and range is equal to or greater than 6. for the graph.

Step-by-step explanation:

Pls don't judge me if this is wrong

What’s the square root of 64

Answers

Answer:

The square root of 64 is 8

8 x 8 = 64

find the value of x. then find the angle measures of the polygon

50 points brainliest answer

Answers

Answer: x = 160

Step-by-step explanation:

540 = 100+(x-25)+(x-15)+(1/2)x+(1/2)x

540= 100-40+3x = 60+3x

480 = 3x

x = 160

Answer:

0.5x + 0.5x + (x-25) + (x-15) + 100 = 540

x + x - 25 + x - 15 + 100 = 540

3x + 60 = 540

3x = 540 - 60

3x = 480

x = 480/3

x = 160

r
–4=-3+
+
10
Answer?

Answers

Answer:

r = 11

Step-by-step explanation:

Is the question

r - 4 = - 3 + 10

So what's r

r - 4 = -3 + 10      Combine the right

r - 4 =  7              Add 4 to both sides

r - 4 + 4 = 7 + 4

r = 11

(a^4)(a5) = (a)9
O A. True
O B. False

Answers

The answer is true
When exponent are being multiplied u add them together

Answer:

true

a^4.a^5=a^9

base same then power should be added

a^4+5

a^9

a rectangular garden has a perimeter of 48 feet. If the width of the garden is 2 feet less than the length, what are the dimensions of the garden?

Answers

Answer:

         

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width  =x-2

Length=x  

Perimeter  =48

Perimeter =x*(x-2)

Substitute: 48=x*(x-2)

Simplify: 48=x^2-2x

x=48/2=24

Patrick walks 0.78 mile each day. A. How far will he walk in all if he walks this distance each day for 14 days? B. How could you use either multiplication or addition to solve this problem?

Answers

10.92 miles. Multiply 0.78 times 14

is this correct? only answer if you are positive!

Answers

yes it is...........

A cereal company made a batch of 714 ounces of cereal. If they put it in 18-ounce boxes, how many boxes would the batch fill?

Answers

Answer:

About 40 (Accurate answer would be 39.7 or 39.666666)

Step-by-step explanation:

714/18 =  39.666666

Answer:

wait look it up on google

Step-by-step explanation:

Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

hope this helps, sorry if late

0.5 in simplest form

Answers

Answer:

all e

3 works hope it helped

I need help on this question

Answers

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

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