The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2

a
y = - 4/3x + 3 1/3
b
y = - 3/4x + 10
c
y = - 4/3x + 10
d
y = 3/4x + 10

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

[tex]3x-4y=-2[/tex]

First, convert the second equation into slope-intercept form:

[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]

Distribute:

[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]

Therefore:

[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]

The answer is C.


Related Questions

Help Please Slope!!!!

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

The slope is -[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The rate of change (the slope) is up one and left two, which would be [tex]\frac{1}{-2}[/tex] or just -[tex]\frac{1}{2}[/tex].

I would appreciate brainliest but if not that's ok!

Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!

Answers

hi, did you attach the picture for it?

Seth is a gold miner. The function P = 45g + 15 represents the amount of money he gets for each gram, g, of gold. If he finds a nugget, the value of the nugget is 1.5 times the value of the weight of gold. The function B = 1.5P represents the amount of money for a gold nugget. Which function represents the amount of money for a gold nugget weighing g grams?

Answers

Answer: 67.5G + 22.5

Step-by-step explanation:

Beth has $105 in her bank account. She buys x shirts for $5.75 each. Write and solve an equation Beth can use to find how many shirts she can buy with the money in her account.

Answers

Answer:

The equation for that would be 5.75x=105 and if you wanted the value for x it is 18.26(18 shirts)

Step-by-step explanation:

SInce she can't buy any decimal or fraction of a shirt then it would be 18 shirts.

3. Triangle ABC has angle measures as noted below. Please note this triangle is not drawn to scale, and the longest leg of the figure may not be the longest leg of the actual triangle.
You will need to use the expressions for the angles given below.
A) 2(x + 15) B) 3x+10 C) 5x
(a) Identify the angle relationship and setup your equation with the given expressions.
(b) What is the value of x? Show your work.
(c) What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.

Answers

Answer:

I only know B and C

Step-by-step explanation:

Part B)

2 (x+15) + 3x + 10+ 5x = 180        2x + 30 + 3x + 10 +5x = 180           10 +40 = 180

- 40 -40            10x divided by 10 = 140 divided by 10             x= 14

Part C)

A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees

< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees

< C = 5 x = 5 * 14 = 70 degrees

Please help me, with the last algebra questions I have. And just to note,
a= 2, b= 3, and c=4.

*25 points, + brainiest.*
*Algebra question.*

Answers

Answer:

5 is 14

6 is 10

7 i cant really see it well but i believe is is -4

Step-by-step explanation:

Answer:

Solve for the missing components of the triangle.

A

=

28.95502437

B

=

46.56746344

C

=

104.47751218

a

=

2

b

=

3

c

=

4

Step-by-step explanation:

Five chicken nuggets have 135 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

243 calories

Step-by-step explanation:

1/3y y = 15
please help

Answers

Answer:

Step-by-step explanation:

y in (-oo:+oo)

(1/3)*y = 15 // - 15

(1/3)*y-15 = 0

1/3*y-15 = 0 // + 15

1/3*y = 15 // : 1/3

y = 15/1/3

y = 45

y = 45

Answer: The answer is five

Step-by-step explanation: This is because if the equasion is 1/3 x y and y=15 than the equasion is 1/3 x 15 or 1/3 x 15/1 which is 5

Someone plz help me with both I will give brainliest

Answers

3- 4 x 1 / 5 x 8 = 4/ 5 x 8 = 4/ 40

5- 3 x 3/ 5 x 7 = 9/ 5 x 7 = 9/35

Answer

3.- *in order* 4,8,   4 aka- 4/40- 1/10

                               40

5.- *in order* 3/5 x 3/7 = 9/35

Step-by-step explanation:

you have to simplify 4/40 wich is 1/10 and the rest s self explanitory. hope this helped!!

Multiply. Write your answer in simplest form.
[tex] \frac{1}{8} \times \frac{1}{2} [/tex]
[tex] \frac{2}{3} \times \frac{4}{5} [/tex]
[tex] \frac{3}{10} \times \frac{5}{6} [/tex]

Answers

1.
1/16 or .0625

2.
8/15 or .53

3.
1/4 or .25


Hope it helps :)

Answer:

1.

1/16 or .0625

2.

8/15 or .53

3.

1/4 or .25

Step-by-step explanation:

hope it helps bro

you are buying decorations for a birthday party. the before tax total for 3 rolls of crepe paper and 20 balloons is $11.40. after you start decorating, you need more supplies. you buy 2 more rolls of crepe paper and 10 more balloons for $7.20 before tax. how much did each cost?

please help with an explanation.

Answers

Answer & Step-by-step explanation:

Let's have

C = Creepers

B = Balloons

1) 6C + 20B = 11.9  

2) 2C + 15B = 6.05

Eliminate

16C + 20B = 11.9 x3  

-2C + 15B = 6.05 x4

18C + 60B = 35.7  

-8C + 60B = 24.2

10C/10 = 11.5/10  

C = 1.15

Determine how (if possible) the triangle can be proven similar:

Answers

Answer:

Not similar

Step-by-step explanation:

 You can only find the vertical angles at the intersection.

So, you know they share one angle.

That is not enough information to prove similarity.

Therefore, I'd say they're not similar.

A quadrilateral has two angles that measure 240° and 70°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The two missing angles are 20 and 30 degrees.

Step-by-step explanation:

Quadrilaterals have four interior angles that add up to 360 degrees.

So we have two angles that are 240 degrees and 70 degrees.

If 240 + 70 = 310

That means the other two angles added together must be equal 50.

Because 360 - 310 = 50

So their ratio is 2:3 which means they have five equal parts.

Which would mean 50/5 = 10

2 x 10 = 20

3 x 10 =30

This means the missing angles are 20 and 30 degrees.

Hope this helped you!

solve the inequality G-13<19

Answers

Answer:

The answer is G < 32

Step-by-step explanation:

G - 13 < 19

(Move numbers to on side)

G - 13 + 13 < 19 + 13

(Simplify)

G < 32

I hope this helps :)

Find the value of f(5) for the function f(x) = 6 +3x

Answers

Answer:

21

Step-by-step explanation:

f(x) = 6+3x

f(5) = 6+3(5)

= 6 + 15

= 21

Hope it helps

The value would be 21!

6+3(5)
6+15
21

I have a spinner that is divided into 4 equal sections colored red, blue, green, and yellow .If I spin the spinner twice ,What is the probability that the spinner will land on yellow both times ?

Answers

Answer:

is of 25%

Step-by-step explanation:

The probability that the spinner will land on yellow both times is 1/16.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner is divided into 4 equal sections colored red, blue, and green.

So, N(S) = 4 and N(R) = 1, N(B) = 1, N(G) = 1 and N(Y) = 1.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

As the events of getting yellow both times is independent,

The likelihood that the spinner will hit yellow twice is,

P(Y, Y) = P(Y)×P(Y).

P(Y, Y) = (1/4)×(1/4).

P(Y, Y) = 1/16.

learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Jill flipped a coin 40 times. The coin landed as heads 28 times and tails 12 times. Based on her results, which of the following is true?
A. If she flips the coin 20 more times, it will land as heads 14 times.
B. The next time she flips the coin it will land as heads.
C. The theoretical probability of a coin landing as heads is greater than her results.
D.The experimental probability of the coin landing as heads was 7 to 10.​

Answers

Answer:

There are many conclusions we can come to for this!

70% of the flips were heads, and 30% are tails

28/40 was heads, and 12/40 were tails

There were more heads than tails

There were 14 more heads than tails

:)

Step-by-step explanation:

Pauline is making trail mix. She adds 4 cups of almonds, 3 cups of sunflower seeds, and 1 cup of raisins. What is the ratio of cups of raisins to cups of almonds?

Answers

1/4 is the ration of cups of raisins to almonds.
Hope this helps.

Answer:

1/4

i think

this may not be the answer, but it appears correct.

can some help please lolz

Answers

Answer:

I believe the measurement of angle 5, would be 114.

Step-by-step explanation:

We can solve this by using alternate interior angles. First we must find the other alternate interior angle for angle 5. To do this we take 66 and subtract it from 180. We now find that the angle adjacent to the angle measuring 66 degrees is equal to 114 degrees.  Now, the angle we just found the measurements for, is the alternate interior angle for angle 5. Therefore, since they are alternate interior angles, angle 5 is equal to 114 degrees.

I hope this helps!

6 is what percent of 9?

Answers

Answer:

33 1/3 %

Step-by-step explanation:

6/9 = 1/3 = 33 1/3 %

Hope that helps!

The 6 is approximately 66.67% of 9.

To calculate what percent 6 is of 9, we can use the following formula:

Percent = (Part / Whole) * 100

In this case, 6 is the part and 9 is the whole. Substituting these values into the formula:

Percent = (6 / 9) * 100

To simplify, we divide 6 by 9:

Percent = (2 / 3) * 100

Multiplying 2/3 by 100:

Percent = (2 * 100) / 3

Percent = 200 / 3

To express the result as a decimal:

Percent ≈ 66.67

Therefore, 6 is approximately 66.67% of 9.

To know more about Percent:

https://brainly.com/question/31323953


#SPJ6

What is the mode and range of the data set
18,22,20,21,24

Answers

I know the range it is 6

Answer:

There is NO mode.

The range is 6.

Step-by-step explanation:

Mode is the most frequent number and in this case there are no repetitive numbers.

Range is the Max Number minus the Minimum Number. So in this case 24-18 which equals 6.

HELP I NEED HELP ASAP

Answers

15 hope this helps you

Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
y
x
-10
10
-10
10
0
K
L
M


K(0, 5)

K′(
,
)
L(7, 5)

L′(
,
)
M(1, 7)

M′(
,
)

Answers

Answer:

YOUR ANSWER IS 45675675

Step-by-step explanation:

2x+2y=18
x=3-y
you have to use the substitution method I know its easy but I struggle with math can someone please help me!!! TY

Answers

Answer:

The equation has no solution

if you click the image it will show you why the equation has no solution. I really hope this helps you.

Find the measure of the missing angles.
50

Answers

Answer:

B 50 C 130

Step-by-step explanation:

Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $16.50. Jim bought 1 chicken sandwich and 2 bowls of vegetable soup for $9.50. What was the cost of a bowl of soup? A) $4.50 B) $2.50 C) $5.50 D) $3.25​

Answers

Answer:

Step-by-step explanation:

This is a system of equations, best solved by using the elimination method. But first we have to come up with our 2 equations that represent the system. Let's call the chicken sandwiches "c" and the bowls of soup "b".

If Chris bought 2 chicken sandwiches and 3 bowls of soup for $16.50, his equation is:

2c + 3b = 16.50

If Jim bought 1 sandwich and 2 bowls of soup for $9.50, then his equation is:

1c + 2b = 9.50

We put these together, one above the other, lining up the variables:

2c + 3b = 16.50

1c + 2b =   9.50

If we multiply the second equation by -2 we can eliminate the c variable. Multiplying the second equation by -2 changes only that equation, making the "new" system:

2c + 3b = 16.50

-2c - 4b = -19.00

When we add straight down each column, the c's cancel each other out (they subtract away) and in the b column we have -1b, and in the answer column, we have -2.50.

That equation is -b = -2.50 or b = 2.50

A bowl of soup costs $2.50, choice B

A woodworker wants to cut a board that is 8.225 feet long into 5 equal-length pieces.How long will each of the cut boards be?



A. 0.1645
B. 1.645
C. 4.1125
D. 41.125

Answers

The answer would be B. 1.645 because 8.225/5=1.645

Hope this helps

Have a great day/night

Feel free to ask any questions

a circle has an area of 80 square centimeters. which answer is the closest to the measure of its radius?​

Answers

Answer:

the answer is 5 cm

Step-by-step explanation:

because of substitution.

80=pi*r^2

Find the measure of MN. please help!!!!

Answers

Given:

A circle with center O.

[tex]m\angle MOP=45^\circ, m\angle PON=85^\circ[/tex].

To find:

The measure of arc MN.

Solution:

We know that,

[tex]m\angle MON=m\angle MOP+m\angle PON[/tex]

[tex]m\angle MON=45^\circ+85^\circ[/tex]

[tex]m\angle MON=130^\circ[/tex]

The central angles in equal to the measure of the corresponding arc.

[tex]Arc(MN)=m\angle MON[/tex]

[tex]Arc(MN)=130^\circ[/tex]

Therefore, the measure of arc MN is 130 degrees.

Help!! Will give brainliest

Answers

Answer:

c

Step-by-step explanation:

c

................................................................

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