Find the equation of the line through the point ( 3 , − 7 ) that is perpendicular to the line with equation y = x − 12 .

Answers

Answer 1

Answer:  y = -x - 4

Step-by-step explanation:

A perpendicular line has a slope that is the negative inverse of the reference line, which is y = x-12.  The slope here is 1, so the negative inverse would be -1/1, or -1.  The perpendicular line would therefore be:

y = -1x + b

We can find b by using the given point (3,-7) as a solution:

y = -1x + b

-7 = -1*3 + b

b = - 4

The equation is therefore   y = -x - 4


Related Questions

PLSSSS HELP ME WITH THIS QUESTION!!!

Answers

Answer:

18 since you have 13nd 3 that equal

10

Jack has 10
Kathy has 23
Vanessa has 26


10+23+26=59


To solve basically make Jacks money=x
Therefore

Kathys money= x+ 13
Vanessas money= x+13+3 (she has three more than Kathy cause it says Kathy has three less than her)

All of these terms together and make them equal to 59, combine like terms and solve for x (jacks money) which is 10

Find the unknown angle measures.

In an isosceles triangle two of the angle measures are equal and one is not. The unequal angle measure is 77 degrees. The whole triangle is 180 degrees. Find the unknown measures

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let the unknown equal Angle measures be x

now, according to question :

[tex]x + x + 77 = 180[/tex]

[tex]2x = 180 - 77[/tex]

[tex]2x = 103[/tex]

[tex]x = \dfrac{103}{2} [/tex]

[tex]x = 51.5 \degree[/tex]

hence, the unknown equal angles are 51.5° each !!

Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =

Answers

Answer:

a11 = 1

a12 = -1

a21 = -1.5

a13 = 2

Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?

Answers

Answer:

173.5

Step-by-step explanation:

The answer is 173.5

To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below

[tex]86/4=21.5[/tex]

Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below

[tex]9x21.5=173.5[/tex]

Thus, that is how much money Lin will be paid after 9 hours of work.

Hope this Helps!

how do you solve 2 to the 35th power​

Answers

Answer:34359738368

Step-by-step explanation: 2 to the 35th power is basically 2 x 2 35 times. You can solve it on a caculator by typing in 2 and pushing the button that allows you to enter 35 (which is the exponent, or the little number) The button will usually have an x with a little y at the top right corner

Can someone pls help me out

Answers

Answer:

option a. similar;AA similarity; triangle plm

The table below shows Amelia's earnings on the job.
Time (hours) Earnings (dollars)
4
$108.80
9
$244.80
17
$462.40
How long does it take her to make $414.80?

Answers

Answer:

15.25 hours

Step-by-step explanation:

her pay per hour is $27.2

414.80÷27.2=15.25

Karla is going to the store. She bought a banana for $0.67, a jar of peanut butter for $2.35 and a bottle of water for $1.50. If she paid with a $5 dollar bill, how much change will she get back? (Do not use $ in your answer)

Answers

Answer:

48 cents

Step-by-step explanation:

need this answered quick, please provide explanation for answer thanks :p

Answers

about 45 weeks. subtract 20.2 from 121.5 and then divide by 2.25

Most television showsUse 13 minutes of every hour for commercials leaving the remaining 47 minutes for the actual show. One popular told me that she wants to change the ratio of commercial time to Showtime to be 3:7. Which way would have left commercials if the if you were still watching for two hours?

Answers

Answer:

Step-by-step explanation:née

Solve for x -29+11=3x - 6x ???

Answers

Answer:

the right answer is x = 9/2

Solve 4a = 20
solve 3y + 9 = 24
solve y/3 - 5 = 4
solve 3=9 - 4k
solve 6w=4w=9
solve 3x + 8 = 2

please answer with an explanation
60 points given

Answers

Here's the solutions :

1. solve for a :

[tex]4a = 20[/tex]

[tex]a = \dfrac{20}{4} [/tex]

[tex]a = 5[/tex]

2. solve for y :

[tex]3y + 9 = 24[/tex]

[tex]3y = 24 - 9[/tex]

[tex]3y = 15[/tex]

[tex]y = \dfrac{15}{3} [/tex]

[tex]y = 5[/tex]

3. solve for y :

[tex] \dfrac{y}{3} - 5 = 4[/tex]

[tex] \dfrac{y}{3} = 5 + 4[/tex]

[tex] \dfrac{y}{3} = 9[/tex]

[tex]y = 9 \times 3[/tex]

[tex]y = 27[/tex]

4. solve for k :

[tex]3 = 9 - 4k[/tex]

[tex]3 - 9 = -4 k[/tex]

[tex] - 6 = - 4 k[/tex]

[tex]k = \dfrac{ - 6}{ - 4} [/tex]

[tex]k = \dfrac{3}{2} \: \: \: or \: \: 1.5[/tex]

5. there's something wrong with this question.

6. solve for x :

[tex]3x + 8 = 2[/tex]

[tex]3x = 2 - 8[/tex]

[tex]3x = - 6[/tex]

[tex]x = \dfrac{ - 6}{3} [/tex]

[tex]x = - 2[/tex]

i hope it helped...

Find the coordinates of the vertices of the figure after the given transformation.
translation: (x, y) (x - 4, y + 4)
)
A)
J'(1,0), N'(5,0), M (5,3), P (2,5)
B)
J'(-2,5), N'(2,5), M (2, 2), P'(-1,0)
J'(-3, 4), N (1, 4), M'(1, 1), P'(-2,-1)
D)
J'(-1,0), N'(-5,0), M'(-5, -3), P"(-2,-5)

Answers

Answer:

b

Step-by-step explanation:

because b look like a great answer

how do you solve the question solve for n 1/3 n = 6

Answers

Answer:

[tex]n = 18 \\ [/tex]

Step-by-step explanation:

[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]

What is (a^6)^3 divided by (a^5)^2? (Please explain using steps.)

Answers

Answer:

(a^6)^3 / (a^5)^2 = a^8

Step-by-step explanation:

step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis

ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10

step 2: subtract the exponents

ex: a^18 - ^10 = a^8

help me plsssssssssssssssssssssssssssssssss

Answers

The answer is C

The best answer is C

What is the slope of the line on the graph?

Answers

Answer:

5/12

Step-by-step explanation:

It goes up 5 and over 12.

are the following triangles similar? if so state the reason.

not similar
SAS
SSS
AA​

Answers

The triangles are not similar.

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

The Given triangle ZXB and DZN are not similar

Because,

XZ/DZ =XB/DN ≠ ZB /BN

XZ/DZ = 1/2

XB/DN = 1/2

ZB /BN = 1/3

Hence, the triangles are not similar.

Learn more about this concept here:

https://brainly.com/question/12460919

#SPJ1

A girl rides a bicycle with a speed of 10km/h for 2h and 15km/h for the next 3h. find the distance moved by her and average speed

Answers

That’s the answer
Like this

solve the inequality. 2y ≥ 4​

Answers

Answer: y≥2

Step-by-step explanation:

Step-by-step explanation:

[tex]2y \geqslant 4[/tex]

[tex]y \geqslant \frac{4}{2} [/tex]

[tex]y \geqslant 2[/tex]

Camille's science class is making slime from cornstarch and glue. Camille is helping pass out materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Camille's class has a total of 18 students, how many ounces of cornstarch will she have left?

Answers

Answer:

8 ounces

Step-by-step explanation:

16oz/lb

16*5= 80oz of cornstarch in bucket

4oz * 18students = 72oz

80-72= 8 oz remaining

The amount of cornstarch left is 8 ounce.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

And, Total amount of cornstarch = 5 pound

Here,

Since, Amount of total cornstarch to student = Each student get × Total number of student

⇒ Amount of total cornstarch to student = 4 × 18

⇒ Amount of total cornstarch to student = 72 ounce

Since, 1 pound = 16 ounces

So, We get;

⇒ Total amount of cornstarch = 5 × 16

⇒ Total amount of cornstarch = 80 ounces

Thus, Amount of cornstarch left = 80 - 72

⇒ Amount of cornstarch left = 8 ounces

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ5

B is the midpoint of AC. AB = 6x + 1 and BC = 2x + 9. Find the length of AC. .

Answers

Answer:

8x + 10 = AC

Step-by-step explanation:

AB + BC = AC

6x + 1 + 2x + 9 = AC

8x + 10 = AC

what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)

Answers

Answer:

y=[tex]-\frac{3}{2}x-5[/tex]

Step-by-step explanation:

Use the point slope formula

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

y-1=[tex]-\frac{3}{2}[/tex](x-4)

Multiply -3/2 by (x-4) which equals -3/2x-6

Move the 1 by adding to both sides

The gives us y=[tex]-\frac{3}{2}x-5[/tex]

3/4 - 1/6 what is it ?

Answers

Answer:

7/12 or 0.58333333...

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

someone please help. Giving brainliest!!

Answers

Answer:

A. None of these

Step-by-step explanation:

The largest perfect square under 100 would actually be 81 (9 x 9)

90 and 99 are not perfect squares and 64 is smaller than 81.

Answer:

a. none of these

Step-by-step explanation:

10 * 10 = 100, so 100 is a perfect square.

The next smaller perfect square is 9 * 9 = 81, but 81 is not in the choices.

Answer: a. none of these

Solve for X
A) -6
C) 12
E) 9
B) 8
D) 3

Answers

Answer:

In my thinking the answer is 9.

x + 3 + -3 = -6 please help me on this

Answers

Answer:-6

Step-by-step explanation:

X=-6

3 and -3 cancel out.

Answer:

-6

Step-by-step explanation:

The positives and negatives added cancel eachother out.

-6+3=-3

-3+-3=-6

Please select the correct answer. ^ that means to the power of. (14x^3y^-4)(4x^-5y^4) A. 56/x^2 B. 56x^2y C. 56y/x^2 D. 56x^2

Answers

Step-by-step explanation:

Please solve this for me.

Answers

Answer:

DG = 7z - 5

Step-by-step explanation:

In order to find DG, you add DE and GE.

Hi, I am struggling on this math question. Can someone help me out please? I more so need how to set up the equation than the answer.
The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium?

Answers

Answer:

18 green fish and there are 12 yellow fish

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