Perpendicular to y = 6x + 2; passing through the point (3,5).

Answers

Answer 1

Answer:

Step-by-step explanation:

y = 6x + 2

Slope = 6

A line perpendicular to this would have a negative reciprocal slope = [tex]-\frac{1}{6}[/tex]

To solve for the y-intercept, plug the coordinates given into the question.

y = mx + b

5 =[tex]-\frac{1}{6}[/tex] (3) + b

5 = [tex]-\frac{3}{6}[/tex] + b

5 = [tex]-\frac{1}{2}[/tex] + b

b = 5 + [tex]\frac{1}{2}[/tex]

b = [tex]\frac{11}{2}[/tex] or 5 [tex]\frac{1}{2}[/tex]

So, your new slope-intercept line equation is

y = [tex]-\frac{1}{6}[/tex]x + 5 [tex]\frac{1}{2}[/tex]

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Have a blessed day!


Related Questions

i need help finding a solution to this equation: 5 (n-1/10)=1/2

Answers

Answer:

n = 1/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(n− 1 /10 )= 1/ 2

Step 1: Simplify both sides of the equation.

5(n− 1 /10 )= 1 /2

(5)(n)+(5)( −1 /10 )= 1/2

(Distribute)

5n +  −1 /2 = 1 /2

Step 2: Add 1/2 to both sides.

5n +  −1 /2  +  1 /2  =  1 /2  +  1 /2

5n=1  

Step 3: Divide both sides by 5.

5n /5  =  1 /5

n=  1 /5

Which of the following describes the quotient of 4 and -28? A) The quotient is undefined. B) The quotient is an integer. C) The quotient is an irrational number. D) The quotient is a rational number.

Answers

Answer:

-1/7

Step-by-step explanation:

Divide the first expression by the second expression.

What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4)

Answers

Answer:(-5,4)

Step-by-step explanation:

Just took the test on edge

Answer:

(-5,4)

Step-by-step explanation:

Use the equation below to find y, if m=5, x= 7, and b = 4.
y=mx+b

Answers

Answer:

y = 39

Step-by-step explanation:

y=mx+b

m = 5

x = 7

b = 4

Substitute the values into the above expression and simplify to solve for y

That's

y = 5(7) + 4

y = 35 + 4

We have the final answer as

y = 39

Hope this helps you

Dita mempunyai pensil sebanyak 10 kotak.Setiap kotak berisi 36 pensil. Pada hari ulang tahunnya, ia membagikan semua pensilnya sama banyak kepada 9 temannya. Berapa banyak pensil yang diterima masing-masing temannya

Answers

Answer:

40 pensil

Step-by-step explanation:

Dari pertanyaan di atas, kita diberitahu bahwa:

Dita memiliki 10 kotak pensil

1 kotak pensil = 36 pensil

10 kotak pensil =

Cross Multiply

10 × 36 = 360 pensil.

Dari pertanyaan tersebut, kami diberitahu bahwa Dita memiliki 9 orang teman dan ia membagikan semua pensilnya secara merata kepada mereka di hari ulang tahunnya.

Jumlah pensil yang diterima setiap teman dihitung sebagai:

360 pensil ÷ 9 teman

= 40 pensil.

Oleh karena itu, setiap teman mendapat 40 buah pensil.

15 + 48 ÷ (–2) raised to power 4 *​

Answers

Greetings from Brasil...

First we will solve the power:

(- 2)⁴ = (- 2)·(- 2)·(- 2)·(- 2) = + 16

rewriting our expression

15 + 48 ÷ (–2)⁴

15 + 48 ÷ 16

(the division / multiplication has priority over the addition / subtraction, so let's do the division first  48 ÷ 16 = 3)

15 + 3

18

1. Are there more inches in a mile or second in a day?​

Answers

Answer:

Step-by-step explanation:

60 x 60 = 3600

3600 x 24

5280 x 12

I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.

3x + 1
8x – 24
Х
M
N
Ο Ν
Ο Χ
9
MN
MY
The length of XY is
HELP ME PLEASE

Answers

Answer:

The length of XY is 32

Step-by-step explanation:

Notice that you have a bisector segment (that divides the segment XY  into two equal parts.

since these parts are equal, they must satisfy:

3 x + 1 = 8 x - 24

so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:

1 + 24 = 8 x - 3 x

25 = 5 x

then x = 25/5 = 5

then,now you can find the length of XY as the addition of both parts:

3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32

can someone help plzz plz help ASAP will mark brainlist

Answers

Answer:

domain (-3,3]

range [0,3)

Step-by-step explanation:

The domain is the input or x values

-3 < x ≤3

in interval notation

The parentheses means not include, the bracket means include

(-3,3]

The range is the output or y values

0≤y <3

[0,3)

IF MN 13x-5, LM = 2x + 9, and NL = 36 – x, find the value of NL.​

Answers

Answer:

i think it c

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

let

LM = 2x + 9

MN = 13x-5

NL = 36 – x

find: x

LM + MN = LN2x + 9 + 13x - 5 = 36 – x2x + 13x + x = 36 - 9 + 516x = 32x = 32 / 16x = 2

what is the solution to the equation k- 4 3/4 = 8 1/4

Answers

Answer:

k = 13

Step-by-step explanation:

[tex]k - 4 \frac{3}{4} = 8 \frac{1}{4} [/tex]

To solve first change the mixed number to an improper fraction

That's

[tex]4 \frac{3}{4} = \frac{19}{4} [/tex][tex]8 \frac{1}{4} = \frac{33}{4} [/tex]

So we now have

[tex]k - \frac{19}{4} = \frac{33}{4} [/tex]

Move the fraction to the right side of the equation

That's

[tex]k = \frac{33}{4} + \frac{19}{4} [/tex]

Since they have the same denominator we can add them directly

We have

[tex] \frac{33}{4} + \frac{19}{4} = \frac{52}{4} = 13[/tex]

we have the final answer as

k = 13

Hope this helps you

the area of a rectangular field is 18000m^2 if the ratio of length and breath is 5:4 find its perimeter

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{540 \: m}}}}}[/tex]

Step-by-step explanation:

Let the length and breadth be 5x and 4x respectively.

Area of rectangular field = 18000 m²

Finding the value of x

Area of rectangle = [tex] \sf{l \times b}[/tex]

Plug the values

⇒[tex] \sf{18000 = 5x \times 4x}[/tex]

Calculate the product

⇒[tex] \sf{18000 = 20 {x}^{2} }[/tex]

Swap the sides of the equation

⇒[tex] \sf{20 {x}^{2} = 18000}[/tex]

Divide both sides of the equation by 20

⇒[tex] \sf{ \frac{20 {x}^{2} }{20} = \frac{18000}{20} }[/tex]

Calculate

⇒[tex] \sf{ {x}^{2} = 900}[/tex]

Squaring on both sides

⇒[tex] \sf{x = 30}[/tex]

Replacing the value of x in order to find the value of length and breadth

Length = [tex] \sf{5x = 5 \times 30 = 150 \: m}[/tex]

Breadth = [tex] \sf{4x = 4 \times 30 = 120 \: m}[/tex]

Finding the perimeter of the rectangular field

Perimeter of rectangle = [tex] \sf{2(l + b)}[/tex]

plug the values

⇒[tex] \sf{2(150 + 120)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{300 + 240}[/tex]

Add the numbers

⇒[tex] \sf{540 \: m}[/tex]

Hope I helped !

Best regards!!

simply
7(-3x+2)-11x+18

Answers

Answer:

-32x + 32

Step-by-step explanation:

7(-3x + 2) - 11x + 18

( -7 * 3x + 7 * 2) - 11x + 18

-21x + 14 - 11x + 18

-21x - 11x + 14 + 18

-32x + 32

Your answer will be -32x+32

What is the sum of 12 - and its additive inverse?

Answers

Hi

a number is  additive inverse if  the sum =0

so 0    as the additive inverse of 12 would be -12.

and the additive inverse of -12  is 12 (it works both ways)

The sum of number 12 and the additive inverse of 12 is given by the equation A = 12 - 12 = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n = 12

Now , the additive inverse of the number 12 = -12

So , the sum of 12 and -12 is given by the equation ,

A = 12 - 12

A = 0

Therefore , the value of A is 0

Hence , the sum of the two numbers is 0

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Consider the exponential function f(x) = b^x, where b ≠ 1. Explain WHY the base has such a restriction.

Answers

If b = 1, then the function would be a straight line, f(x) = 1 which isn't exponential.

Find the inverse f-1(x) for the function f(x).
6x + 3y = 24

Answers

Answer:

for the question x is 2 and y is 4

Step by step:

Liam spent $42 on 8 pounds of strawberries at $x per pound and a $15 bouquet of flowers. Write an equation that can be used to find the cost of one pound of strawberries.

Answers

Answer:

42=8x+15

Step-by-step explanation:

He spent a total of $42 and $15 of that $42 went to the flowers. It was $x per pound.

Answer these questions:
* If the probability of passing an
examination is 0.8, what is the
probability of failing the examination
b If the probability that a girl wins a race is 0.6, what is the probability that she loses?
c if the probability that a pen does not write is 0.05, what is the probability that it writes ​

Answers

Answer:

a: 0.2

b: 0.4

c: 0.95

Step-by-step explanation:

the whole probability is 1, use 1 to subtract and you will find the answer

I really stuck on this question can someone help me out? What rational number, when multiplied by an irrational number, has a product that is a rational number? a. 1/2 b. 1 c. 1/10 d. 0

Answers

Answer:

d. 0

Step-by-step explanation:

Given that:

A rational number is multiplied by a irrational number.

And the result is a rational number.

To find:

Such rational number wil be:

a. [tex]\frac{1}2[/tex]

b. 1

c. [tex]\frac{1}{10 }[/tex]

d. 0

Solution:

Let us consider the given options one by one.

Let the irrational number be = [tex]\pi[/tex]

Checking option a.

Multiply [tex]\pi[/tex] and [tex]\frac{1}2[/tex].

Result is: [tex]\frac{\pi}2[/tex] which is again irrational.

So, a. is not correct.

Checking option b.

Multiply [tex]\pi[/tex] and 1.

Result is: [tex]\pi[/tex] which is again irrational.

So, b. is not correct.

Checking option a.

Multiply [tex]\pi[/tex] and [tex]\frac{1}{10}[/tex].

Result is: [tex]\frac{\pi}{10}[/tex] which is again irrational.

So, c. is not correct.

Checking option d.

Multiply [tex]\pi[/tex] and 0.

Result is: 0 which is rational.

So, d. 0 is the correct answer.

write each side of the equation as a single power.then write and solve an equation to find the value of n. show your work. 23^8.23n=23^5

Answers

Answer:

[tex]23^{n + 8} = 23^5[/tex].

n = -3.

Step-by-step explanation:

[tex]23^8 * 23^n = 23^5[/tex]

[tex]23^{n + 8} = 23^5[/tex]

Since both sides have the same base (23), we can solve for n.

n + 8 = 5

n = 5 - 8

n = -3.

Hope this helps!

Answer:

[tex]\huge \boxed{n=-3}[/tex]

Step-by-step explanation:

[tex]23^{8} \times 23^{n}=23^{5}[/tex]

[tex]\sf Apply \ rule : a^b \times a^c=a^{b+c}[/tex]

[tex]23^{8+n}=23^{5}[/tex]

[tex]\sf Apply \ rule : a^b=a^c \rightarrow b=c[/tex]

[tex]8+n=5[/tex]

[tex]\sf Subtract \ 8 \ from \ both \ sides.[/tex]

[tex]8+n-8=5-8[/tex]

[tex]n=-3[/tex]

Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically charges
clients either less than $250 or more than $700. Which inequality represents x, the typical number of hours
worked?
75x + 100 < 250 or 75x + 100 > 700
100x + 75 < 250 or 100x + 75 > 700
250 < 75x + 100 < 700
250 < 100x + 75 < 700

Answers

Answer:

75x + 100 < 250 or75x + 100 > 700

Step-by-step explanation:

This problem basically tests our understanding of representing word problems using inequalities and equations.

In the first instance, Lawrence can charge his client an amount that is less than $250, hence all terms to the right should not be greater $250 when executed.

Also, the second expression says that he can also charge more than $700 when hence all terms in the right-hand side should be greater than $700 when executed    

Answer:

A

Step-by-step explanation:


If m BAC = 90°, and m DAC = 689,
then m BAD = [ ? ]°

Answers

Answer:

22 degrees

Step-by-step explanation:

90-68=22

this is my question ​

Answers

Answer:

299 and 45 if I am correct due to alternate angles and angles adding up to 360

Answer:

1)B+125=180

so,B=55

and x=B=55(alternate angles are equal)

2)a+136=180

so, a=44

3)2x+3x+x=180

or, 6x=18

so, x=3

Simplify: 108÷36 of 1/4 + 2/5 x 13/4
A) 123/10 B) 133/10 C)41/20 D) 123/20

Answers

Answer:

B

Step-by-step explanation:

soln

=108 ÷36×1/4+2/5×13/4

=108÷9+2/5×13/4

=12+2/5×13/4

=12+13/10

=133/10✅

Solve for r 0.5(r+2.75) = 3

Answers

Answer:

r+2.75=3÷0.5

r+2.75=6

r=6-2.75=3.25

Answer:

3.25

Step-by-step explanation:

It's the answer on Khan

Can someone help me find identify the range?​

Answers

Range = [tex](-\infty, 3][/tex]

=====================================================

Explanation:

The idea is to plug in the smallest value of the domain, which is x = 1, to get

f(x) = -2x+5

f(1) = -2(1)+5

f(1) = 3

Showing that y = 3 is the largest value in the range. Any larger x value produces a smaller y value. Eg: x = 2 leads to f(2) = 1

So the range is the set of y values such that [tex]y \le 3[/tex] which converts to the interval notation [tex](-\infty, 3][/tex]. This is the interval from negative infinity to 3.

The square bracket says to include the endpoint while the curved parenthesis means we exclude the endpoint. We always exclude infinity as we can't ever reach it.

Please solve 4x = 24

Answers

Answer:

x is equal to six

Step-by-step explanation:

4 × 6 = 24

Answer: There is only one step to this equation. We will use inverse operations to isolate the x by dividing 4 on both sides. (4 is being multiplied by x, and the opposite of multiplication is division.)

4x/4 = x

24/4 = 6

The equation now looks like:

x = 6

x is equal to 6, so this is your answer.

Which property is illustrated by the equation 3 (m n) = (3 m) n? HELP ME PLZ I NEED THIS THANK YOU

Answers

Answer:

Associative properties of multiplication

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2. x > 17

3. x ≤ 7

4. a < 4

5. t ≥ -2

Step-by-step explanation:

Enter the solutions from least to greatest. -2x^2 -9=-107

Answers

Answer:

x = -7, 7

Step-by-step explanation:

Step 1: Write out equation

-2x² - 9 = -107

Step 2: Add 9 on both sides

-2x² = -98

Step 3: Divide both sides by -2

x² = 49

Step 4: Square root both sides

x = ±7

Step 5: Arrange

-7 < 7

So x = -7, 7

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