b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).

Answers

Answer 1

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13


Related Questions

ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x

Answers

Step-by-step explanation:

so as ∆BCE is a right angled triangle

angle BEC = 90°

angle CBE = 22° (given)

apply angle sum property of triangle

so according to that

BCE + CBE + ECB = 180

22° + 90° + ECB = 180

102° + ECB = 180

ECB = 180 - 102

ECB = 78°

and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,

so ,

x = 78°

hope this answer helps you dear! take care

Alvin is 14 years younger than elga. The sum of their age is 78.

Answer: 46

Answers

The answer is 46. Hope this helps!

To determine the number of trout in a lake, a conservationist catches 149 trout,
tags them and throws them back into the lake. Later, 36 trout are caught; 12 of
them are tagged. How many trout would the conservationist expect to be in the
lake?

Answers

Answer:161

Step-by-step explanation:

Find the value of 9+ y when y=13.

Answers

Answer:

22

Step-by-step explanation:

When y is 13 ,

9 + y

9 + 13 = 22

Owen is driving to a concert and needs to pay for parking. There is an
automatic fee of $12 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Owen have to pay for parking if he left his car
in the lot for 5 hours? How much would Owen have to pay if he left his car in
the lot for t hours?
Cost of parking for 5 hours:
Cost of parking for t hours:

Answers

Answer:

$39

Step-by-step explanation:

because 12 enter and leave is 24 then 3 per he that is 39$

the sum of -15/32 and 7/31 is which of the following answers: 1/4, -11/16, -1/8, -1/4

Answers

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of [tex]\frac{15}{32} ,\frac{7}{31}[/tex] In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

[tex]-\frac{15*31}{32*31} +\frac{7*32}{31*32}[/tex]

3) Simplify. Denominators are now the same.

[tex]-\frac{465}{992} +\frac{224}{992}[/tex]

4) Join the denominators.

[tex]\frac{-465+224}{992}[/tex]

5) Simplify

[tex]-\frac{241}{992}[/tex]

Decimal Form: -0.242944

Find [tex]f'(4)[/tex] if [tex]f(x)=2x^2-3[/tex]
Explain how you got your answer.

Answers

Plug 4 in for x. 2(4)^2 - 3 which equals 29

Answer:

[tex]f'(4)=16[/tex]

Step-by-step explanation:

First, we need to find the derivative:

[tex]f'(x)=(2)(2)x^(^2^-^1^)-0[/tex]

[tex]f'(x)=4x[/tex]

Now, we need to plug in 4 for x:

[tex]f'(4)=(4)(4)=16[/tex]

The (least common multiple, greatest common factor) of 5 and 10 is 5.

Answers

Answer:

the Greatest common factor is 5

A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place, how many times greater would the value of the 2 be?

The value of the 2 would be ____ times greater

Answers

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

What is place value?

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

For more references on place value, click;

https://brainly.com/question/27734142

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2+2+30+40+15000+18000

Answers

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

2x2-2x3-2x4-2x5-2x6-2x7

Answers

Answer:

-46

Step-by-step explanation:

first multiply

add

and last subtract

2x2-2x3-2x4-2x5-2x6-2x7=-46

Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 4, negative 2) and (0, 0). Everything below the line is shaded.

Answers

Yes less then the negative times the less or equal

please help me in question 31 only please and i’ll mark the correct answer as brainliest i promise

Answers

With 9 large eggs, they already weigh 18 ounces, so I’m not sure what the question means.

The equation should be 1.75x + 2y = 18.

If the question means how many combinations of eggs to make 18 ounces, then only 7 large eggs and 8 medium eggs or 9 large eggs satisfy the equation.

x = 8, y = 7 or x = 0, y = 9.

Mrs. Jones knows how to use texting, instant messenger, emailing,
calling, and mailing letters to communicate with her students. She must select
2 method of communication out of the 5 to send her students an important
message. In how many ways can she choose the communication method?

Answers

Answer:

6869

Step-by-step explanation:

I need help hurry plzzzzzz

Answer if u know will mark brainliest

Answers

Answer: Die with memories, not dreams. – Unknown

Step-by-step explanation:  Go make some good memories! Be yourself

how about −2x × 2x ???
thanks

Answers

[tex] \: \: \: \: \: [/tex]

[tex] = - 4 {x}^{2} [/tex]

hope it helps

refer to the attachment

ANSWER

=> -2x × 2x

=> -4x²

What is the probability of selecting an 8 from a standard deck of 52 playing cards, not keeping it, then selecting the ace of clubs? Type your answer in simplified fraction form.​

Answers

Answer:4/13

Step-by-step explanation:

It is 4*(4/52)

ANSWER QUESTION 2 PLEASE? OR EXPLAIN IT?

Answers

Answer:

Step-by-step explanation:

Answer:  The length of the third side is greater than 4 ft and less than 20 ft.

Step-by-step explanation:  Given that two sides of a triangle have lengths 8 ft and 12 ft.

We are to describe the possible lengths of the third side.

Let x ft be the length of the third side of the triangle.

We know that

the sum of the lengths of any two sides of a triangle is always greater than the third side.

So, we must have

Also,

and

From inequalities (i), (ii) and (iii), we get

Thus, the length of the third side is greater than 4 ft and less than 20 ft.

information about five planets is shown in the table below. write down the name of the planet with the greatest mass

Answers

Answer:

Jupiter

Step-by-step explanation:

Jupiter is 318 times as massive as earth

Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km

Which choice is the graph of y < x – 5? (Need Help!!!)

Answers

Answer:

Step-by-step explanation:

The graph increasing over the given entire interval: -3 < x < 0.

What is Linear Function?

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=2x+5. Where:

m= the slope.

b= the constant term that represents the y-intercept.

Here, we have,

For the given example: m=2 and b=5.

A function can be classified as:

  increasing - when the values of y increase with the increasing of x-values

  decreasing - when the values of y decrease with the increasing of x-values

The question gives the entire interval where the function increases. Thus, from the graph is possible to see that the function increases when x is between –3 and 0 because the values of y increase with the increasing of x-values.

Hence, The graph increasing over the given entire interval: -3 < x < 0.

Read more about decreasing linear function here:

brainly.com/question/27716206

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complete question:

This shows a graph.

For which choice is the graph increasing over the entire interval?

0 < x < 2

2 < x < 4

-3 < x < 0

-3 < x < 4

For which choice is the graph increasing over the entire interval?

If r= 13.5 cm, q = 16.2 cm, p = 18cm, and o = 8.1 cm, what is the measure of n?

Answers

The measure of n is 19.2 because there is a pattern between the constants and the variables

What percentage of teens and young adults have retail jobs? 5% 7% 8% 19%.

Answers

the answer is 19 percent

The percentage of teens and young adults in the pie chart that represents retail jobs is 19%.

What is a pie chart?

A Pie chart is a type of graph that displays data in a circular graph.

The pie chart above is used to represent the percentage of young adults and teen that works in various industry.

The industries represented in the pie chart includes leisure and hospitality, retails trade, education and health sector, Manufacturing, construction, government and many more.

Therefore, the percentage of teens and young adults that represents retail jobs is 19%.

learn more on pie chart here: https://brainly.com/question/12265375

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pls help with these, at least up to finishing question 2 or Question 3b​

Answers

Answer:

For question 3b the answer is no because the common difference is 4

Step-by-step explanation:

6,10,14,18,22,26,30,34

It will be 34 not 33

On a coordinate graph the following points of a rectangle are given. A(0,2) B (0,-2) C (3,-2) 4 Where do the coordinates of Dneed to be to form the rectangle? 0 (3,2) O (2, 3) 0 (1,3) 0 (3,1)​

Answers

Answer:

(3, 2)

Step-by-step explanation:

Please mark me brainliest if this helped! :P

the value if /14-15/ is​

Answers

Answer:

1

Step-by-step explanation:

/14-15/

/-1/

1(because absolute value of any real number is always positive and for zero itself zero)

x-1=0 pls answer me I'll give u 10 points

Answers

Answer: x=1

Add 1 to both sides x-1=0 x-1+1=0+1

Solve the following system of equations graphically on the set of axes below.

Answers

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Jim has $84,410 in a savings account that earns 15% interest per year. How much will he have in 4 years?​

Answers

I dont know im sad because i dont know

what is |-9| i need help

Answers

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

If you subtract ¾ by ¼,what is the difference?

Answers

[tex] \frac{3}{4} - \frac{1}{4} \\ = \frac{3 - 1}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

- BRAINLIEST answerer

2/4 is the difference
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