Write an equation of the line that passes through the point (6, 3) and is perpendicular to y=-1/3x+ 12.
y=3x+12
y=x+5
y=-1/3x+5
y=-1/3x+12

Answers

Answer 1

Answer:

A: [tex]y=3x+12[/tex]

Step-by-step explanation:

To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.

Then, we need to understand the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We also know that [tex]x[/tex] and [tex]y[/tex] represent points on the line.

Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of [tex]-\frac{1}{3}[/tex]  would be [tex]\frac{3}{1}[/tex] which can be written as [tex]3[/tex].

Now, since we have a list of options and only one has the correct slope, we can safely choose option A.


Related Questions

Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. Her first coupon was 20%. If she paid $30 for the shoes, what was the dollar amount taken off for the first coupon? She received a $____ discount with the first coupon.

Answers

Answer:

$10

Step-by-step explanation:

Because 20% of 50 is 10 so 50-10=40 then 40-30=10

I need help with this question​

Answers

Answer:

4.20

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

it starts with 2.80 and four is that dou led so we have to find half of 2.8 then add it to find three (I'm bad at explaining)

a sno-cone machine priced at 139$ is on sale for 20% off , the sale tax is 10

Answers

Answer:

The overall price would be 125.1

Step-by-step explanation:

The sales tax is $13.90

the sale takes off $27.8

So 139 - 27.8 + 13.9 is 125.1

pls rate my answer

Someone help please!!

Answers

Answer:

B

Step-by-step explanation:

Even though -3.613 has more digits, if you add a zero to -3.63 it becomes -3.630. -3.630 is greater than -3.613.

Answer:

b i think

Step-by-step explanation:


Re-write the standard form equations provided in slope-intercept form
4.5x – 10y = 15

Answers

Y=0.45x-3/2 i think is the answer

classify each equation below as a formula , a literal equation ,or both.
c=2d , a=1/2bh , y=2x-1, p=2e+ 2w

Answers

delete my answer please its useless

80/91 + 5/9 plz help

Answers

Answer:

1.43467643468

Step-by-step explanation:

Answer:

I think the answer is 1.44

Step-by-step explanation:

this is a simplified version of 1.43467643

What is 1.8 divided by 2? Show Work

Answers

Answer:

0.9

Step-by-step explanation:

Unless is there is another way to answer this question, all you have to do is put it into a calculator.

HELP ME PLEASE FAST​

Answers

Answer:

3. x=4   4. x= 2

Step-by-step explanation:

just trust me

An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
A. 312
B. 350
C. 494
D. 700

Answers

Answer:

B. 350

Step-by-step explanation:

done on edge

The sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

An arithmetic series contains 14 numbers.

The first number is 12.

The last number is 38.

As we know, the sum of the arithmetic sequence or series is given by:

S = (n/2)(a + l)

Here, S is the sum of the AP

n is the number of terms

a is the first term

l is the last term

n = 14

a = 12

l = 38

S = (14/2)(12 + 38)

S = (7)(50)

S = 350

Thus, the sum of the sequence is 350 if the arithmetic series contains 14 numbers. The first number is 12. The last number is 38 option (B) is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

A survey asked 200 people which sports they play regularly. It revealed that
30 played tennis,
25 played golf,
40 played softball,
10 played tennis and golf,
20 played tennis and softball,
15 played golf and softball,
and 8 played all three sports.

How many of those surveyed played golf or softball?

Answers

Answer:

15

Step-by-step explanation:

I really need help with this one

Answers

Answer:

28

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

3x+10 = 5x

10 = 2x

x = 5

Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

=(15+4)*2

=19*2

=28

(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

If b= 40 degrees and c= 30 degrees, what is the measure of d?

Answers

Answer:

It would be D. 110 degrees

Step-by-step explanation:

A triangle is always equal to 180 degrees. So, if you add b + c, you get 70 degrees. Subtract that from 180, and you get 110. Hope this helped!

Answer:

a = 110 degree

d= 70 degree

Step-by-step explanation:

a+b+c = 180. (being sum of all interior angle of a triangle is 180 degree)

a+40+30 = 180

a=180-70

a = 110

Similarly,

a+d=180. (being supplementary angle)

110+d=180

d= 70

i need help with this equation can someone please help me

Answers

Answer:

d= 24

Step-by-step explanation:

-2= d/3 - 10

-6= d-30

-d=-30+6

-d= -24

d= 24

Max Quimby picks Raspberries for his grandmother every Tuesday during 2 points
the summer. She pays him $0.75 per quart. If he were able to pick 93
quarts how much he be paid?

Answers

Answer:

Would be paid $69.75

Step-by-step explanation:

Since he is paid $0.75 per quart, and he has picked up 93 quarts, you would multiply 0.75 by 93. Which would give you $69.75.

Which equation fits the situation? Mikes test score was 20 points lower than marks if mark scored a 95 on the test which equation would give mike’s score

Answers

Answer:

95 - 20 = t

Step-by-step explanation:

Let's start with the facts. You know that Mike's test score is 20 points lower than Mark's. You know that Mark's score was 95.

If we are trying to find Mike's test score, t, the equation would be this:

The equation would be 95 - 20 = t

I hope this helps :)

Rewrite the expression in the form 3^n.

Answers

Answer: 3^2

Explanation:

Cross off four copies of '3' in both the numerator and denominator. Each pair cancels because 3/3 = 1, and 1 times any number is the same number. See the diagram below.

The numerator will be left with two copies of '3'. The denominator won't have anything left.

So we have 3*3 = 3^2

Five more than four times a number

Answers

Answer: 4x +5

Step-by-step explanation:

5+4n

If a problem says “(five) more than” that means your adding.

“(four) times” means your multiplying.

“a number” is your variable.

your answer would be 5+4n. *n* being a number.

A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no membership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?

Answers

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

$7.50+$1.00n=$2

n=5.5 [tex]\approx[/tex] 6

Hence, 6 games needed to be rented each month.

Your friend spent $7 in two days on lunch. He says that
he will need $21 for 6 days to spend on lunch. Is your
friend correct? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

Because he spent 3.50 in those two days and he will spend 3.50 in 6 days. 3.50×6= 21.

which number is bigger than the other? -0.75 or -5/4!! Please help!

Answers

Answer:

-0.75

Step-by-step explanation:

-0.75 or -5/4

-0.75 or -1.25

-0.75 is bigger because it has a greater value.... it is closer to zero, on a number line.

Which graph represents the inequality y<−1+2x?

Answers

Answer:

B

Step-by-step explanation:

negative slope so the line will go down and it has a less than sign so the shade will be below it


Is 285 as a perfect square

Answers

Answer:

no

Step-by-step explanation:

the square root of 285 is not a whole number. 285 is not a perfect square.

Answer:

No , it is not a perfect square number of any numbers..

mark BRAINLIEST

Thank you ☺️☺️☺️

please help quickly

Answers

the first option because you multiply both sides,move the constant to the right, calculate,then divide on both sides

How to make 20 using the number 3,5,6,3 add

Answers

Answer:

3+3+6+5+3=20

Step-by-step explanation:

3+3=6

6+6=12

12+5=17

17+3=20

Answer:

(3x3)+6+5

Step-by-step explanation:

3 times 3 is 9

9 plus 6 is 15

15 plus 5 is 20

14^7/14^2 simplify expression

Answers

Answer:

537824

Step-by-step explanation:

[tex]14^{7}[/tex]/ [tex]14^{2}[/tex]

[tex]14^{7}[/tex] = 105413504

[tex]14^{2}[/tex] = 196

105413504 / 196

537824

How do you know whether two quantities x and y are proportional? Every ratio yx for related pairs of x and y is equivalent. Every sum x + y is the same for related pairs of x and y. Every x term is a multiple of the previous term. Every difference x – y is the same for related pairs of x and

Answers

Answer:

Two quantities x and y are said to be proportional if ratio yx for related pairs of x and y is equivalent.

Step-by-step explanation:

Two quantities x and y are said to be proportional if ratio [tex]yx[/tex] for related pairs of [tex]x[/tex] and y is equivalent.

The symbol ∝ is used to denote the proportionality. For example, if [tex]x[/tex] is proportional to y, then it is represented as [tex]x[/tex]∝y and if [tex]x[/tex] is inversely proportional to y, then it is represented as [tex]x[/tex] ∝ 1/y

A car can travel 80 miles on 4 gallons of gasoline. If the gas tank, which can hold about 15 gallons, is half full, how many miles can the car travel before it runs out gas?

Answers

Answer: 150

Step-by-step explanation: A car can travel 80 miles on 4 gallons of gas if the gas tank can hold about 15 gallons is half full there will be 7.5 gallons of gas in the can so multipy the 80 miles by 1.875, 150

Three members of a teen hiking group hiked 3 5 of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack? In this problem, the numerator is the same number as the . So the answer will be a . Each hiker carried the backpack for of the total trail distance.

Answers

Answer:

divisor,unit fraction,1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply and simplify the product.
–12i × 3i

Answers

Answer:

36

Step-by-step explanation:

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