Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y-4=-2(x+3) .

Answers

Answer 1

Answer:

y - 3 = 1/2(x - 2)

Step-by-step explanation:

The given line has a slope of -2.

The perpendicular line will have a negative-reciprocal slope:

m = 1/2

Use same point-slope form and the point P(2, 3):

y - y₁ = m(x - x₁)y - 3 = 1/2(x - 2)
Answer 2

[tex]\\ \sf\longmapsto y-4=-2(x+3)[/tex]

Here slope is -2

The perpendicular line have additive and multiplicative inverse slope

m=1/2

Put co-ordinates of P in equation

[tex]\\ \sf\longmapsto y-3=\dfrac{1}{2}(x+2)[/tex]


Related Questions

Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2

Answers

Answer:

A

Step-by-step explanation:

The answer is A

The roots of the given quadratic equation are -

x = 2   and   x = 1.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a quadratic function f(x) defined as -

f(x) = x³ - 3x² + 2

The given quadratic function f(x) is -

f(x) = x³ - 3x² + 2

We can write the roots of the equation as -

x = {3 ± √(9 - 8)}/2

x = {3 + √(9 - 8)}/2    and    {3 - √(9 - 8)}/2

x = (3 + 1)/2   and    x = (3 - 1)/2

x = 2   and   x = 1

Therefore, the roots of the given quadratic equation are -

x = 2   and   x = 1.

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Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.

6h + 5 = 4h + 10

What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.

Answers

Answer: The answer is B.

Step-by-step explanation: I took the test (:

Answer:

b

Step-by-step explanation:

Jessica is stacking items on a shelf she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. The shelf should hold at most 50 pounds.
Let x represent the number of large books.
Let y represent the number of medium books.

Which inequality represents the situation?

a.) 5x + 3y < 50 b.) 5x +3y ≤ 50 c.) 5x + 3y ≥ 50 d.) 5x + 3y > 50

Answers

Answer:

b) 5x +3y ≤ 50

Step-by-step explanation:

can someone do this? <3

Answers

here!

and here’s a link if you want to understand how to do it!

https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder

Answer:

[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]

Step-by-step explanation:

Hope it helps!!

What is the value of Y when X=-3 ?

Answers

Answer:

2

Step-by-step explanation:

the line is at 2 for Y

PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?

Answers

Answer:

13 and 6

Step-by-step explanation:

A lead cylinder has a mass of 618.7 grams and a density of 2.70 g/mL. Calculate the volume, in mL, and round your answer to the correct number of sig figs.

Answers

Answer:

1670.49 mL

Step-by-step explanation:

Volume = mass * density

Substitute values and calculate:

V = 618.7 * 2.7 = 1670.49 mL


A market sells chicken for $2.99 a pound​

Answers

This isn’t a complete equation
I agree with this statement, but it is not a question so I cannot answer.

How do you shift exponential functions?

Answers

Answer:

Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.

(a) A square has a perimeter of 8 cm. What is the length of each side?

Answers

Answer: 2

Step-by-step explanation:

Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2

HELP PLEASEEEE!!!

Which of the following inequalities matches the graph? у 10 8. दा 4 x 2. 6 8 10 --10-8-6-4-2 -2 - -8 -10 | OX-7 Oxs-7 Oy=-7 Oyz-7

Answers

Answer:

45

Step-by-step explanation:

The graph given is of inequality x ≤ -7.

What is an inequality?

In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.

Given is a graph of an inequality, we need to determine the inequality,

So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,

so the inequality will be x ≤ -7

Hence, the graph given is of inequality x ≤ -7.

Learn more about inequality, click;

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i’ll mark brainliest!! i will give a lot of points

Answers

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

y2 = -2y1 = -6x2 = 2x1 = -3

m = (y2 - y1)/(x2 - x1)

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3

A circular flowerbed is surrounded by a path 2.5m wide .The diameter of the flower bed is 40m. Find the area of the path .​

Answers

Answer:

The answer is in the photo

Step-by-step explanation:

----
an
- 11 + 5(n-1)

Answers

Answer:

-3.2

Step-by-step explanation:

Help me.

Fraction questions

Answers

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

A bag has  4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball  randomly​

Answers

1/3 of a chance or 33%
Reason: add 4,3, and 5 together, you get 12. 4/12 is equivalent to 1/3 and 1/3 as a decimal is .33

1-100%. You'll never know until you try it yourself.

What is -1/2(-4/5) multiplied then in simplest form?

Answers

-1/2(-4/5)

Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10

Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.

Hope this helped.

I need help with this assignment. Help please

Answers

The answer came as 2257 as listed above

Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make

Answers

6 smaller portions because 3 x 2=6

Answer:

6 smaller portions

Step-by-step explanation:

1 pound (lb) = 16 ounces (oz)

3 lbs = 48 oz

1/2lb = 8oz

48oz (total)/8oz (amount in each portion) = 6 portions

[50 pts] Zeke is a cook at Maxine’s Café after school and earns $12.75 per hour. Zeke worked a lot hours this week and charged $17.90 in meals. After paying for meals, Zeke’s earnings were less than $240. Which inequalities can be used to find h, the maximum number of hours that Zeke could have worked this week? (choose 2)


A 240 > 12.75h + 17.90

B 240 > 12.75h – 17.90

C 12.75h – 17.90 < 240

D 12.75h – 17.90 < 240

E 17.90 – 12.75h < 240

Answers

Answer:

240 > 12.75h – 17.9012.75h – 17.90 < 240

Step-by-step explanation:

Zeke's earnings are:

12.75h - 17.90

This amount is less than 240.

This can be shown as:

12.75h - 17.90 < 240 or240 > 12.75h - 17.90

The matching choices are B, C and D (note C and D are given same, must be a typo)

Answer:

C 12.75h – 17.90 < 240

Step-by-step explanation:

Expand the following

Answers

Answer:

A) 3x +15

B) 8x -2

C) 20x + 10

D) 4x - 8y

Step-by-step explanation:

A) 3x+3 x 5 = 3x + 15

B) 2 x 4x -2 = 8x -2

C) 5 x 4x +5 x 2 = 20x + 10

D) 4x -4 x 2y = 4x - 8y

(Hope this helps can I pls have brainlist (crown)☺️)

Find the next three terms of the arithmetic sequence.

10, 13, 16, 19

Answers

Answer:

22, 25, 28

Step-by-step explanation:

10 + 3 = 13

13 + 3 = 16

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28.

all numbers go up by three points

402/3333 simplified please

Answers

Answer:

134/1111

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact form:  [tex]\frac{134}{1111}[/tex]

Decimal form: 0.1206...   (repeating)

3 in
3 in
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = 3 × 3 = 9

The perimeter = 2(3 +3) = 12

please give me a brainliest answer

Answer:

A= a^2, which is 9.

P= 4a, which is 12.

.what is the answer please ​

Answers

its  C the only one that makes a angle

A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3

represents the cost y of bowling x games. Interpret the parameters of the function.

represents the shoe rental charge.

represents the price per game.

Answers

The number that represents the shoe rental charge is 3.

The number that represents the price per game is 2.5.

The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.

y= 2.5x + 3

In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.

When:

1 game is played, the additional fee is 2.5 x 1 = 2.50.10 games are played, the additional fee is 2.5 x 10 = 25.

3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.  

A similar question was answered here: https://brainly.com/question/14276466?referrer=searchResults

Fine a number such that half of the number is 4 more than 6.​

Answers

Answer:

20

Step-by-step explanation:

20 / 2 = 10

10 - 4 = 6

4 more than 6 = 4 + 6 = 10

The number’s half is 10 therefore the number is 10 x 2 = 20

Answer = 20!

-6 divided by 8? How do you turn it into a fraction problem?

Answers

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Two-thirds
StartFraction 5 Over 6 EndFraction
1 and one-fifth
3 and one-third

Answers

Answer:

B

Step-by-step explanation:

Answer:

b?

Step-by-step explanation:

i think thats it sorry if wrong!

Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.

Answers

To solve a problem, we often Translate the given information into algebraic expressions and equations.

Step-by-step explanation:

Consider the provided statement.

In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.

For example: “6 less than twice a number"

We first need to translate it.

This can be translated as: 2n-6

Where n represents the number.

Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.

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