12.
Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 5/2x – 10; (–6, –29)

A. y = 5/2x – 14

B. y = -2/5x + 14

C. y = 2/5x – 14

D. y = 5/2x + 133/2

Answers

Answer 1

Answer:

A. y = 5/2x – 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = 5 /2 x − 10 .

y = 5 /2 x − 14                PARALLEL

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

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = 5 /2 x − 10 .

y = − 2 /5 x − 157 /5                        PERPENDICULAR


Related Questions

what is the interest earned on $500 at 4% simple interest for 2 years​

Answers

[tex]~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\\P=\textit{original amount deposited}\dotfill & \$500\\r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\t=years\dotfill &2\end{cases}\\\\\\I = (500)(0.04)(2)\implies \boxed{I = 40}[/tex]

Trey’s gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Trey’s tank hold?

Answers

24 gallons

ex - 5/8 minus 1/4 is .375
divide 9 by .375 which is 24

The number 844,758,200,030 will be rounded to
the nearest billion. What is the test digit?
Enter your answer in the box.

Answers

Answer:

Trillion because the 2 test is billion

19)How many tiles are in the eighth figure of the sequence?

Answers

Answer:

23

Step-by-step explanation:

first one: 2

second: 5

third: 8

fourth: 11

PATTERN NOTICED: +3 every sequence

therefore,

fifth: 14

sixth: 17

seventh: 20

eighth: 23

The number of tiles in the eighth figure will be 23.

What is an arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmatic progression.

In the given sequence for the first figure, there are 2 tiles, for the second figure, there are 5 tiles, for the third figure, there are 8 tiles, and for the fourth figure, there are 11 tiles.

The pattern of the series can be seen below,

2, (2 + 3),( 2 + 3 +3), (2 + 3 + 3+3 ),( 2 +3+3+3+3),( 2+3+3+3+3+3) ,( 2+3+3+3+3+3+3) ,( 2+3+3+3+3+3+3+3) .........

2,5,8,11...........

The sequence will become,

2, 5,8,11,14,17,20,23........

Therefore, the number of tiles in the eighth figure will be 23.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

you spend $40 on 5 Pounds of concreate what is the
1 unit rate in dollars

Answers

Answer:

$8

Step-by-step explanation:

Answer:

The unit rate is $8

Step-by-step explanation:

Divide 1d10t

Mrs Perkins has 4 bags of sugar she uses 1/5 bag of sugar each time she makes lemonade how many times can she make lemonade before she runs out of sugar

Answers

Answer:

25 times

Step-by-step explanation:

1/5 x 5= 1    1 x 5= 5   1/5 x 25= 5

Answer:

20 times

Step-by-step explanation:

if she uses the same bag 5 times then we can just multiply the number of bags she has by 5 so 4 x 5=20


A plane rises from take-off and flies at an angle of 4° with the horizontal runway. When it has gained 650 feet, find the distance, to the nearest foot, the plane has
flown

Answers

Answer:

2879ft

Step-by-step explanation:

The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle  10 ∘ .

Y varies directly with x. If y=40 when x=16, find x when y= -5

Answers

Answer:

-29 is the correct answer

Order the rational numbers from least to greatest.

Answers

Answer:

2.3,2 4/5, 3.01, 3.017, 3.10, 4 1/8, 4.2

The velocity function of a car is given by v(t) = -3t^2 + 18t + 9 m/s. Find the acceleration of the car three seconds before it comes to a stop.


A. a = -6.46 m/s²

B. a = -2.76 m/s²

C. a = -0.46 m/s²

D. a = 2.76 m/s²

Answers

The acceleration of the car three seconds before it comes to a stop is 0m/s²

Given the velocity function expressed as v(t) = -3t^2 + 18t + 9

Acceleration is the change in velocity of a body with respect to time.

a(t) = dv/dt

Differentiating the velocity with respect to time will give;

dv/dt = -6t + 18

a = -6t + 18

a = -3(6) + 18

a = -18 + 18

a = 0m/s²

Hence the acceleration of the car three seconds before it comes to a stop is 0m/s²

Learn more on acceleration here: https://brainly.com/question/16274121

The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of
equations to represent the dimensions of the book then find the length and width.

Answers

Answer:

Mark me as brainlist

Step-by-step explanation:

P = Perimeter            

L = Length          

W = Width

Perimeter of rectangle = L + L + W + W        

or P = 2L + 2W

You know:

P = 36 inches

L = 2W          [length is(=) 2 times it's width]

W = ?

P = 2L + 2W    

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W         Simplify

36 = 4W + 2W

36 = 6W        Divide 6 on both sides

6 = W              Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4x3=-27/4​

Answers

Answer:

  x = -3

Step-by-step explanation:

One always uses inverse operations to solve an equation.

  1/4x^3 = -27/4

  x^3 = -27 . . . . . . . . . multiply by the inverse of 1/4

  x = -3 . . . . . . . . . . raise each side to the inverse of the power of 3 (in English: take the cube root)

_____

Check

  (1/4)(-3)^3 = 1/4(-27) = -27/4 . . . . as required

Match the following equations to the correct property that is being used.
7+(13+4)=(7+13)+4
8(x+3)=8(x)+8(3)
5×7×3=7×5×3
(7+x)3=3(7)+3(x)
The choices are associative property, distributive property, and communitive property.

Answers

#1

[tex]\\ \sf\longmapsto 7+(13+3)=(7+13)+4[/tex]

It satisfies a+(b+c)=(a+b)+c

Associate property

#2

[tex]\\ \sf\longmapsto 8(x+3)=8x+8(3)[/tex]

It satisfies a(b+c)=ab+ac

Distributive property.

#3

[tex]\\ \sf\longmapsto 5(7)(3)=7(5)(3)[/tex]

It satisfies abc=cba

Commutative property

#4

[tex]\\ \sf\longmapsto 3(7+x)=3(7)+3x[/tex]

Distributive property

A die is rolled and a coin is tossed.Find the probability that the die shows a odd number and the coin shows a head​

Answers

Answer:

1/4

Step-by-step explanation:

Die shows an odd number: 3/6 = 1/2

Coin shows a head: 1/2

Probability: 1/2 * 1/2 = 1/4

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the value of x in the triangle below?

Answers

Answer:

  15 cm

Step-by-step explanation:

All of the triangles in this figure are similar 30°-60°-90° triangles.

The ratio of shortest to longest sides in a 30°-60°-90° triangle is 1 : 2. This means the longest side of the largest triangle has length ...

  2 × (10 cm) = 20 cm

It also means the shortest side of the smallest triangle is (10 cm)/2 = 5 cm.

The length shown as 'x' is the difference of these measures:

  x = 20 cm -5 cm

  x = 15 cm

__

Additional comment

There are several "geometric mean" relations that apply to this sort of right-triangle geometry. One of them is that the side marked as 10 cm is the geometric mean of the short segment and the whole segment of the bottom edge. This will confirm that x = 15 cm.

  (10 cm)² = (5 cm)(5 +15) cm = 100 cm²

Pls helpp<3
5m = 10m + 30

Answers

Answer:

= 5m - 30 = 0

Step-by-step explanation:

That's the answer <3

Factor the expression using the GCF.

2x+10 =

Answers

Answer:

2(x+5)

Step-by-step explanation:

What is the y intercept

Answers

Answer:

1

Step-by-step explanation:

b= y intercept

If anyone is a A student can you’ll give me some tips on getting better grades and studying better?

Answers

Answer:

i recommend getting a student planner taking a ton of notes for each clss write down thing that are important find a learning style you are comfortable with like drawing or writing and also review your notes every week

Answer:

Step-by-step explanation:

when get home put some calming music on and study take breaks after 45 mins of studying it helps a lot

How many calories does Jennifer and Brian have left for dinner if each student followed the diet below
during their day at school?
400 calories 1 pack of 2 Pop Tarts
290.4 calories 20 oz can of Pepsi
170.48 calories ..... 1 bag of Hot Cheetos
570.59 calories 1 Ice Glazed Honey Bun
357.5 calories........ .1 McChicken off of the Dollar Menu

Answers

ANSWER

293

_____________________

#CARRY ON LEARNING

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

[tex]\huge\color{gold}{\boxed{{\colorbox{black}{293}}}}[/tex]

[tex]\large\purple{ChaEunWoo2009}[/tex]

#CarryOnLearning

4p+2p-3p pls answer i need by 11/20/21

Answers

Answer:

  3p

Step-by-step explanation:

The distributive property can be a useful way to think about combining like terms.

  4p +2p -3p = (4 +2 -3)p = 3p

Answer:

3p

Step-by-step explanation:

4p+2p=6p

6p-3p=3p

This was a very simple explanation but if you still don't understand algebra, here's more:

Deep explanation:

if you really don't understand it just assume that p stands for pears 4pears + 2pears is 6 pears. 6pears - 3 pears is 3pears

Find the value of k when 5^-3 + 5^-4 = 5^k x 5^-4

Answers

Answer:

k= 6/5 or 1.12

Step-by-step explanation:

You isolate the variable by dividing each side by factors that don't contain the variable. This variable (K) is not a whole number so I gave you the fraction and rounded decimal form. Hope this helps :)

Answer:

Given , 1/2 is a solution of the equation

or, 1/4 - 5/4 = -k/2

or, -k/2 = -1

or k = 2

Step-by-step explanation:

A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available.
How
many liters of the 20% solution and how many liters of the 60% solution should she mix to make the 30% solution

Answers

Answer:

60% answer for get 80 liters of 30% arrangement. 80x liters of 60% arrangement contains corrosive of 0.6(80x) liters. 80 liters of 30% arrangement contains corrosive of 800.3=24 liters

Step-by-step explanation:

Pre college need help (11)

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Brainliest Please

A small start-up skateboard company projects that the cost per month of manufacturing x skateboards will be C(x)=30x+600, and the revenue per month from selling x skateboards will be r(x)=−x2+80x. Given that profit is revenue minus cost, for what value(s) of x will the company break even or make a profit?

Answers

9514 1404 393

Answer:

  20 ≤ x ≤ 30

Step-by-step explanation:

The profit function is ...

  profit = revenue - cost

  = (-x^2 +80x) -(30x +600)

  = -x^2 +50x -600

  = -(x -20)(x -30)

The profit function will be positive where the signs of the factors are different: for x-values between 20 and 30. The profit function will be zero for x=20 and x=30.

The company will break even or make a profit for values of x that satisfy ...

  20 ≤ x ≤ 30

What is the value of the expression 15 x 6 - 2^2 x 8 + 4^3

Answers

Answer:

122

Step-by-step explanation:

Plz help I need help

Answers

Answer:

7/21

Step-by-step explanation:

14/42

Divide the top and bottom by 7

14/7 =2

42/7 = 6

2/6 = 1/3

We need a ratio that is 1/3

7/21

Divide by 7

1/3

Answer simple probability question for 50 points! Problem is attached, first person to answer gets 50 points. Make sure to answer A and B. Good Luck!!

Answers

[a] See attached

  - Her chance of making it is 1/3, 1 - 1/3 = 2/3, so her chance of missing is 2/3

[b] 1/2 or one half

First chances (hit and hit): 1/4 * 1/3 = 1/12

Second changes (hit and miss): 1/4 * 2/3 = 2/12

Third chances (miss and hit): 3/4 * 1/3 = 3/12

(when multiplying fractions you multiply across)

Adding all chances together: 1/12 + 2/12 + 3/12 = 6/12 = 1/2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

please nobody will help me i need to pass and this is my 5th time posting it!


PLEASE

Answers

Answer:

The range is 35

Step-by-step explanation:

I found the range by subtracting the largest number and the smallest

42 - 7

And the second question you got right. 4 is correct

Hope this helps

Answer:

range=35 and the players' points 45

Step-by-step explanation:

please HELPP
no links

Answers

Answer:

I believe it's 4 I hope this helps

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