Consider the line y=5x-3.
Find the equation of the line that is parallel to this line and passes through the point (2, -5).
Find the equation of the line that is perpendicular to this line and passes through the point (2, -5).

Answers

Answer 1

Answer:

y=5x-15, y=-1/5x-23/5

Step-by-step explanation:

Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.

We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=5x+b

-5=5(2)+b

-5=10+b

b=-15

So the equation of the parallel line is y=5x-15.

Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.

We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=-1/5x+b

-5=-1/5(2)+b

-5=-2/5+b

b=-23/5

So the equation of the perpendicular line is y=-1/5x-23/5.


Related Questions

16 liters to quarts (dry measure)

Answers

Answer:

16 litres =14.53 US qt dry

Step-by-step explanation:

Please mark my answer as a brainliest. ❤❤❤

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league? 278 279 185 299 245 281 291 234 278 227 281

Answers

Answer:

Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports league

Step-by-step explanation:

First of all, we will sort the data.

185 227 234 245 278 278 279 281 281 291 299

Mean:

Mean is defined as the sum of values divided by the number of values.

n = 11

[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]

Median:

As the number of values is odd,

The median will be:

[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]

The 6th value is 278

Median = 278

Mode:

Mode is the most frequent value in a data set.

In the given dataset,

278 and 281 are modes as both are repeated twice

Mid-range:

Mid-range is the average of maximum and minimum value

So,

Min = 185

Max = 299

So,

[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]

Hence,

Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports league

Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.


the answer is 39.60

Answers

Nice to know, thank you!

When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?

Answers

Answer:

There is no other way you can expand the brackets

Step-by-step explanation:

Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?

Answers

Answer:

.........................

Answer:

200

Step-by-step explanation:

she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200

solve the equations 7(x+4)=21
iready​

Answers

Step-by-step explanation:

[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]

[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]

[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]

[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]

[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]

[tex]\bullet\rightharpoonup\sf x=-1 [/tex]

Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.

Answers

Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

I NEED HELP ASAP PLZ

Answers

first one

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

Expand and simplify
3(x + 5) + 2(x + 4)

Answers

3(x+5) + 2(x+4)
3x+15+2x+8
The answer is 5x+23

Answer:

5x + 23

Step-by-step explanation:

3 ( x+5) + 2 ( x+4 )

3x+15+2x+8

3x+2x+8+15

5x+23

3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.

Answers

Answer:

x  <  15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?

Answers

He can buy one wristband with a 1.50 left

The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75

Answers

Answer:

5.15 hope this help!!!

Step-by-step explanation:

give this brainlieast so other people can know its not 20.60

Can someone help please

Answers

Answer:sorry i cant

Step-by-step explanation:

how many men have a waist measurement of more than 85cm

Answers

Answer:

29

Step-by-step explanation:

The answer is 29 hope this helps you! :)

Y=^2+5x-7 find the vertex

Answers

Answer:

-5/2-39/2

Step-by-step explanation:

2.3a+3.5b-1.8a-2.7b simplify. Show work.

Answers

Answer:

a = -1.6b

Step-by-step explanation:

Simplifying

2.3a + -1.8a + 3.5b + -2.7b = 0

Combine like terms: 2.3a + -1.8a = 0.5a

0.5a + 3.5b + -2.7b = 0

Combine like terms: 3.5b + -2.7b = 0.8b

0.5a + 0.8b = 0

Solving

0.5a + 0.8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.8b' to each side of the equation.

0.5a + 0.8b + -0.8b = 0 + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0

0.5a + 0.0 = 0 + -0.8b

0.5a = 0 + -0.8b

Remove the zero:

0.5a = -0.8b

Divide each side by '0.5'.

a = -1.6b

Which value is equivalent to the expression 4^5

Answers

Answer:

20

Step-by-step explanation:

2x^2-20x+100 quadratic formula

Answers

Answer:10

Step-by-step explanation:

Evaluate: 12 divided by y+9d if y = 5 and d = 7

Answers

y + 9d = (5) + 9(7) = 68
12/68 = 6/34 = 3/17
The solution is 3/17

Answer:

0.25

12/5+(7x5)

Step-by-step explanation:

12/5+(7x5)

12/5+35

12/40

Please please please hellllllppp meeeeee !!!!!!!!!

Answers

ANSWER: 77
Explanation: Making 88 in 8 minutes means that the machine is making 11 per minute thus being said if the machine worked for 7 minutes it would make 77 pens.
88/8=11
11*7=77

What is the value of the expression shown? 4[4.5 − 2(1.2)]

Answers

8.4 or 8 2/5 or 42/5

2x1.2
4(4.5-2.4)
4 x 2.1
8.4

ANSWER: 8.4 or 8 2/5 or 42/5

please mark brainliest if my answer is correct;)

The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa

Answers

Answer:

$312

Step-by-step explanation:

10% of $600 is $60

So $60*4=$240

$600-$240=$360

1%=$6

So $6*8=$48

$360-$48=$312

1. Which equation does not match the diagram? A. 6 +3x= 30
B. 3(x+6) = 30
C. 3x = 30- 6
D. 30 = 3x + 6 ​

Answers

Answer:

B

Step-by-step explanation:

The solution is Option B.

The equation which does not satisfy the relation is 3 ( x + 6 ) = 30

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 number of x in the diagram be = 3

So , the total number of x = 3x

The sum of the values in the box = 30

So , the equation will be

6 + x + x + x = 30

On simplifying the equation , we get

6 + 3x = 30   be equation (1)

a)

6 + 3x = 30

The equation satisfies

b)

3 ( x + 6 ) = 30

On simplifying the equation , we get

3x + 18 = 30

The equation does not satisfy

c)

3x = 30 - 6

Adding 6 on both sides of the equation , we get

3x + 6 = 30

The equation satisfies

d)

30 = 3x + 6

The equation satisfies

Hence , the equation which does not satisfy the relation is 3 ( x + 6 ) = 30

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Please help!! I have trouble in math and will give points and thanks for this!!

Answers

Answer:

-5

Step-by-step explanation:

You can count backwards from -1.

-1, -2, -3, -4, and then -5 is the blue dot.

The left side of 0 is the negative side. The right side is the positive side.

Hope this helps!

Answer:

-5

Step-by-step explanation:

If you're going backward on the number line then you are in the negative zone because of -1

4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?

Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.

Balanced equation: 1N2 (g) + 3H2(g)  2NH3(g)

Molar mass of H2 = g/mol

100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3

Molar Mass of N2 = g/mol

100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3

A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product

B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product

C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol

100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3

Answers

Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have

100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂

Hydrogen (H) has a molar mass of about 1.008 g/mol, so

100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂

In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have

3.570 • 3 ≈ 10.71

so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.

(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.

(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.

(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or

7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃

Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?

Answers

Answer:

The lines will not intersect, because this system has no solutions

Step-by-step explanation:

Answer:

They will not intersect!

Step-by-step explanation:

A-P-E-X

Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?

Answers

Answer:

  17 years

Step-by-step explanation:

The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

Solving for t, we find ...

  A/P = (1 +r/n)^(nt) . . . . . . divide by P

  log(A/P) = nt·log(1 +r/n) . . . . take logarithms

  t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t

For the given values, the time required is ...

  t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353

It would take about 17 years for the account value to reach $1740.

_____

Additional comment

The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.

HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]

     = [tex]\frac{7-1}{3+3}[/tex]

     = [tex]\frac{6}{9}[/tex]

     = [tex]\frac{2}{3}[/tex]

Answer:

To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3),  6 / 6, the slope is 1

Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.

Answers

Answer:

342

Step-by-step explanation:

50+4x=y

x=73

There are 95 students at an
assembly. They are sitting in rows
and there are 7 students in each
row. How many rows will be needed
to seat all the students?

Answers

I believe 14.
95 divided by 7 is 13.57 so Round up to 14.

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

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