21. Line p passes through Point (-4,1) and has a slope of 5 What is the equation of Line p in standard form?
A)2x - 5y = 22
B)2x - 5y = - 13
C)5x - 2y = 13
D) 5x - 2y = -22

Answers

Answer 1

Answer:

Step-by-step explanation:

Point( -4 , 1)  ; slope = m = 5

Point-slope form:

y - y1 = m(x -x1)

y - 1 = 5(x - [-4])

y - 1 = 5(x + 4)

y - 1 = 5x + 5*4

y - 1 = 5x + 20

    y = 5x + 20 + 1

   y= 5x + 21


Related Questions

A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.

A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×​

Answers

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet. What is the price for one square yard of carpet?

Answers

Answer:one yard costs $15 (x=15)

Step-by-step explanation:

300-60=240. So, 16 yards=$240

16x=240

240/16=15

X=15 (one yard costs $15)

The price for  one square yard of carpet is $15.

Given that,

A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet.  

Based on the above information, the calculation is as follows:

[tex]= (\$300 - \$60) \div 16[/tex]

= $15

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Last question!!!!!
explain if posible ​

Answers

Answer:

<ABT = 43°<TBC = 43°

Step-by-step explanation:

Given,

Line BT is the bisector of <ABC

So,

3x + 13 = 5x - 7

=> 13 + 7 = 5x - 3x

=> 20 = 2x

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10

As,

We got the value of x = 10

Therefore,

<ABT = 3x + 13 °

= 3×10 + 13 °

= 30 + 13°

= 43°

<TBC = 5x - 7°

= 5 × 10 - 7°

= 50 - 7°

= 43°

Hence,

Value of <ABT = 43° and value of <TBC = 43° (Ans)

in 37.2 the ones place and the tenths place is separ
ated by a what?​

Answers

Answer:

Decimal

Step-by-step explanation:

The 37 and the 2 is separated by that little dot called a decimal.

Answer:

37+2/10

Step-by-step explanation:

help! brainliest!!! picture below

Answers

the answer to this question is c. which is 18

Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinner is divided into 9 equal sections. Starting from the top right and moving clockwise direction, the regions are labeled 1,2,3,4,5,6,7,8, and 9. The spinner pointed at near the boundary line of 3.

Answers

Answer:

1/18

Step-by-step explanation:

yur welcome

hockey practice begins at 6:17 p.m.
it ends at 7:08 p.m.
how long is hockey practice?
11 mins
25 mins
41mins
or 51 mins.

Answers

Answer:

51 minutes ???????????

A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 years, and $15,360 after 3 years. Why can this situation be modeled using an exponential function?
The value of the car depreciates annually by 20%.
The value of the car depreciates annually by 80%.
The value of the car depreciates annually by $6,000.
The value of the car depreciates annually by $4,800.

Answers

Answer:

It annually drops by 20%

Step-by-step explanation:

30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.

Marking brainliest!

Is the number, 9812 divisible by 3? Yes or no

Answers

Answer:

no

Step-by-step explanation:

I goo.g.led, sorry me dum lol

Answer:

No, it is not divisble by 3.

Step-by-step explanation:

9812 divided by 3 is 3270.6666 repeating.

hope this helps :)

HELPP ME PLEASE!!!!
don’t use for points or i’ll report you.

Answers

c = -4 that’s the answer if you didn’t see my comment

Meaning of the word break-even​

Answers

Answer:

Breakeven is often used in finance, it means the point of reaching a balance.

Step-by-step explanation:

find the common ratio of 80, 20, 5

Answers

Answer:

The common ratio of the following sequence : 80, 20, 5,... is 1/4. Common ratio = 5/20 = 20/80 = 1/4

Step-by-step explanation:

A rectangular prism has a volume of 220 cubic cm and a height of 5 cm it's base might have side that measure A. 11 cm and 4 cm B. 6 cm and 8 cm C. 12 cm and 3 cm D. 14 cm and 5 cm

Answers

Answer:

The answer is A 11 and 4= 44

Step-by-step explanation

100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)

Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.

Answers

Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.

Answers

Answer:

The alternative hypothesis is; Hₐ;

[tex]\hat p[/tex] > 60%

Step-by-step explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%

Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.

Does the point (0,0) satisfy the equation y = 9x?
yes
no

Answers

yes, because 0 = 9 x 0.

PLS PLS PLS PLS PLS HELP QUICK PLS PLS PLS PLS PLS

Answers

Answer:

c. 7x+11x=90

Step-by-step explanation:

right angle triangle sum up to 90

Answer:

7x+11x=90

Step-by-step explanation:

The 90 degree angle is made of 7x and 11x so you solve like a multi step equation after this.

CAN YALL HELP ME WITH THIS ITS HARD PLZ HELP I GIVE BRAINLEST

Answers

Answer:

sure whats the problem

Step-by-step explanation:

Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the
number of minutes it took each group to solve the puzzle and plotted the results.
Which statement is the best description of the association between these variables?

Answers

The statement that best describes the association of these variables is larger groups tend to take less time to solve the puzzle.

What is the true statement?

A graph can be described as a pictorial representation of data.  A graph has a x axis and a y-axis. The x-axis in this graph is the number of people in the groups and the y-axis is the time it takes to solve the puzzle.

The graph slopes downwards. This indicates that as the number of people in the groups increase, the time it takes to solve the puzzle decreases.

To learn more about graphs, please check: https://brainly.com/question/21527145

#SPJ1

Answer:

Nonlinear association

Step-by-step explanation:

Please like if this helps :)

Graph the equation y=-x^2-12x-35y=−x 2−12x−35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
please help and explain I'm very confused and I have no idea what to do.

Answers

Hope this helps!!!!!

The graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.

To find the x-intercepts, we can set y=0 and solve for x:

0 = -x² - 12x - 35

Using the quadratic formula, we get:

x=-b±√b²-4ac/2a

x=12±√144-140/2(-1)

x=12±√144-140/(-2)

x=12±2/(-2)

The x-intercepts are approximately x=-7 and x=-5

To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:

x = -b / 2a = -(-12) / 2(-1) = 6

y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107

So the vertex is at (6, -107).

Hence, the graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

To learn more on Quadratic equation click:

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The rectangular top of Kathleen's desk has a length of 24 inches and a width of 17 inches. What is the area of the top of Kathleen's desk in square inches?

Answers

Answer:

408 square inches

Step-by-step explanation:

The top of the desk is Rectangular.

The area of a rectangle = Length × Width

Length = 24 inches

Width = 17 inches

Area of the rectangular top = 24 inches × 17 inches

= 408 square inches

Therefore, the area of the top of Kathleen's desk in square inches is 408 square inches

I need help asap

Juane had $6.00, then spent $4.00. After one week he had earned 12 more dollars, but spent half of the total money she has. How much money does he have left?






also Can someone also please teach me how to make music using this website;

https://musiclab.chromeexperiments.com/Shared-Piano/#J_lgLdlzn

Answers

Gggggggggggggggggggggggggggggggggggggg. It would be 7

The height of a cone is 10 inches and the radius of the cone is 4 inches. What is the approximate volume golf the cone?

Answers

Answer:

V = 167.55 inches^3

Step-by-step explanation:

[tex]v = \frac{1}{3} \pi {r}^{2} \times h \\ v = \frac{1}{3} (3.14) \times ( {4})^{2} \times (10) \\ v = 167.55 \: \: \: {inches}^{3} [/tex]

I hope that is useful for :)

Just need to sub into the formula

SHOW ALL THE STEPS YOU USED TO SOLVE THIS. NO LINKS PLEASE​

Answers

Answer:

192 cm^2

Step-by-step explanation:

A = b*h

8(24) = 192

Maria wants to know what time it is, but after looking at her analog clock, notices that the numbers are all missing! She notices that the minute hand is pointing straight up, and that the angle measure between the hour and minute hand is 90 degrees. If she knows that the time must be between 1:00 and 5:30, what time is it?

Answers

Answer:

3:00

Step-by-step explanation:

If the minute hand is pointing straight up, it means that the time is at an exact hour (ex. 1:00, 2:00, not 1:30, etc.).

If the angle between the hour and the minute hand is 90 degrees, then we know that the time is either 3:00 or 9:00.

However, because the time must be between 1:00 and 5:30, it must be 3:00.

I hope this helps!

3:00 is the answer my dude

Sandra is 30 years old and deciding which investment she would like to make. She has $2,500 to invest.

Option A: Invest $2,500 and earn 3% of its value each year.

Option B: Invest $2,500 and earn $200 per year.

How many years would it be when both investments would yield the same amount of earnings?

Group of answer choices
??? which one

Answers

12.596 I hope this helps!!

The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that has a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz

Answers

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]

(b) Frequency, f = 800 kHz

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]

Hence, this is the required solution.

Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 ​ start fraction, 7, divided by, 12, end fraction of an hour. She has scheduled 3\dfrac343 4 3 ​ 3, start fraction, 3, divided by, 4, end fraction hours to play the game.

Answers

Answer:

45/7 rounds

6 3/7 rounds

Step-by-step explanation:

Here is the full question

Nicole is playing a video game where each round lasts 7/12 ​ fraction of an hour. She has scheduled 3 3/4 fraction hours to play the game. How many rounds can Nicole play? rounds

Number of rounds she can play = total time she has scheduled / length of each round

length of each round = 7/12

total time she has scheduled = 3 3/4

3 3/4  ÷ 7/12

3 3/4 x 12/7

convert to the total time scheduled to an improper fraction

to convert to improper fraction, take the following steps :

Multiply the whole number (3) by the denominator (4) = 3x 4 = 12 Add the numerator to the answer gotten in the previous step = 14 + 3 = 15 divide the number gotten in the previous step by the denominator = 15/4

[tex]\frac{15}{4}[/tex] × [tex]\frac{12}{7}[/tex] = [tex]\frac{45}{7}[/tex] rounds or [tex]6\frac{3}{7}[/tex] rounds

Solve for the missing value.
58

Answers

i think it is 58 degrees

please help !!

25 points !!!

Answers

Answer:

30

Step-by-step explanation:

70-40=30

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