Slope is -2 and (5, 3) is on the line. What is the equation in slope intercept form?

Answers

Answer 1
[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 5}}\quad ,&{{ 3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-2(x-5) \\\\\\ y-3=-2x+10\implies y=-2x+13[/tex]

Related Questions

Please help me on this question

Answers

    -4 = 8m + 18n
-18n = 8m + 4
 /-18    /-18  /-18
     n = 8m/-18 + 4/-18
     
I'm not sure so yeah
-4 = 8m + 18n (Original problem)
-8m -8m. (Subtract 8m from both sides)
-4 -8m = 18n (Divide both sides by 18)
-4 -8m/18 =n (Answer)

Please helpppp I really need help on this

Answers

it will be the last one
Its the last one because 1/2 is smaller than one itself:0 is the place holder between negative and positive REMEMBER THAT. soo anyways its the last one 
Hope this will help <3

Enter a compound inequality to show the levels that are within each range. Then graph the solutions.

A typical acoustic guitar has a range of three octaves. When the guitar is tuned to "concert pitch," the range of frequencies for those three octaves is between 82.4 Hertz and 659.2 Hertz inclusive.

The compound inequality that represents the range of frequencies for a guitar tuned to "concert pitch" using the variable f is

Answers

The midpoint of the range of frequencies given is:

midpoint =  (82.4 + 659.2) / 2 = 370.8 Hertz

 

Then the difference from midpoint to the other end is:
370.8 - 83.4 = 288.4 Hertz


Therefore the inequality formula is
|f - 370.8| <= 288.4

what can be divided thit number 288

Answers

What is hell is thit? And this question makes no sense
288 can be divided by 2, which gives 144
288 can be divided by 4, which gives you 62

etc


There are a lot of different numbers that give you 288

hope this helps

Question 4 deon runs 7 miles in 50 minutes. at the same rate, how many miles would he run in 75 minutes?

Answers

Set up a proportion of miles to minutes:

7 mi/50 min= x mi/75 min

Cross multiply:
7*75=525
525/50= 10.5

Final answer: 10.5 mi

Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?

Answers

Answer:

Gina=35, Sara=33

Step-by-step explanation:

Gina's number is 2 more than Sara's.

Lets start by saying cookies as the number.

Sum = 2 numbers add together. The answer to the equation. Lik 5+5=10. 10 is the sum.

You only know that Gina has 2 more cookies than Sara.

If Sara has 3 cookies then Gina has 5 cookies. Whats the Sum? 8.

So, you figure out an random big number but, smaller than 68.

Lets do 68 to try now.  So you do 68/2 = 34. You remember that Gina has 2 more than Sara. So, 35 cookies for Gina. So, you can guess that Sara has 33 cookies.

The difference of two numbers is 14 what two numbers will minimize the computer

Answers

What does "minimize the computer" mean?

What is 1,023 factorial

Answers

The answer is 5.291532027E2636

The answer would be 529153202740122781550480658660532689257964254251759
125437780299871407286335290683958314549232052205734
285076997762676517511713052509948601816849739583712
831160515164074965814228289348161072159341558281894
202878854799334379772146164605591004584311768763356
713400354912861458704302535398860477412195738448881
533435076553176703840115047268488436252013529107580
865296802182920724791843983678838146182533409533448
383481165906824103153566507857710269482367090193244
541253842104528754017471490411529502796829370347046
762713475050373271093412654825432411260646959906541
612229641901932745777094869566703149307441838777084
533034540068849856246998586985319698233162839641726
206156936005751628868615364283434725559792829897101
374176198991839906827231520082796344066853258646299
157208765703612019303756244406841153727323364939192
748601599096861988540978189078012384228772790080588
539201037262741040707786485297194079583668627846776
322039172798663697894391092800601939189737834636450
845353785962947523822152846593726972339364541219328
821441760725870106876028058716003173366700502023121
489762632998810372301466711226335315543998170497978
434064461441193117144010655178553446515844247955457
654441182866433381475900767340770331439120009676751
631713395371731541417012011575992462465170880710064
236171420647003417599710438288656751665790859144524
515556313521529415201807954229638196931055536187827
019394418970314245395490788854799225797386984631833
320108953714481842406972755354196835481597399080859
924727807305329380079658595645207310115039659598687
261059130658211855321432434218614013755139940254125
702720220063255577725250666817423259047891268164730
317329203471678528209766910694874721360730784512550
550605189054015988817064194124548160489763056042544
153222389255825100821492897801455761526363641860420
008553110209519084250752953374072170233667803631013
133012887129953942582946575699389982380640060989406
681914444699616912003575393614297124834038119030068
410269556063223100215760140984021373690204992959885
081755245452320378401711439090940784068255495246381
038638558603924538934916444411216092078670223073330
528393573249204036269448787317141008134648223290663
159505708710130686367677607002405885351792251550295
249604970030896005254120234238741538839504300780667
281601802321540980149693998387653638418945029850714
475851900162853454737703226561712533113560957529393
142045433660260641984856580358752174080000000000000
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Have a great day sir
- Zijwan°

Convert rational numbers into improper fraction-29

Answers

29/1

Improper fractions have a greater numerator.

29 > 1

ahem ahemm   

[tex]\bf \textit{any integer }\mathbb{Z}\textit{ can be written as }\cfrac{\mathbb{Z}}{1} \\\\\\ -29\implies \stackrel{improper}{\cfrac{-29}{1}}[/tex]

Solve the inequality -24<×-3-8×. A.×>-3 B. ×<3 C.×>-9 D.×>3

Answers

In this question, you are given an equation with < (less than) sign. You can solve this equation and treat the less than sign same as an equal sign. The only difference is when you mirroring the equation or multiplying both sides with minus, which will change the direction of the sign. The calculation should be:
-24 < x-3 -8 x
-24 +3 < x - 8x 
-21 < -7x
-21/-7 <x
3 <x
x>3

The answer is  D.×>3

Please help with 12!!!!!

Answers

2. one angle of and one side are equal therefore bc and ce have to equal each other.
3.because angle a and angle d equal each other, angles acb and dce equal each other
4.opposite interior angles equal each other
5.triangles equal each other for all the reasons above

find the value of x and BC if B is between C and D CB=4x-9 BD=3x+5 and CD= 17

Answers

x = 3 and CB = 19. To find x you would put 4x-9 + 3x+5 = 17. Remember to get all the x’s on one side and the other numbers on the other aide of the equal sign. Then plug x into the length of BC.
Final answer:

To find the value of x and BC, set up the equation CB + BD = CD and solve for x. The value of x is 3 and BC is 3.

Explanation:

To find the value of x and BC, we can set up the equation CB + BD = CD and solve for x.

Substituting the given values CB = 4x - 9, BD = 3x + 5, and CD = 17, we get (4x - 9) + (3x + 5) = 17.

Combining like terms, we have 7x - 4 = 17. Solving for x, we find x = 3. Plugging this value back into CB = 4x - 9, we get BC = 4(3) - 9 = 12 - 9 = 3.

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The larger of two numbers is 10 less than 5 times the smaller.their sum is 146 .find the smaller number

Answers

x = larger number, y = smaller number

x = 5y - 10
x + y = 146

5y - 10 + y = 146
6y - 10 = 146
6y = 146 + 10
6y = 156
y = 156/6
y = 26 <=== smaller number

x = 5y - 10
x = 5(26) - 10
x = 130 - 10
x = 120....larger number

A family’s well pumps on average 8 gal of water per min. The well’s tank had 1200 gal of water in the morning. Which equation models the amount of water in the tank y after it has been pumping for x min?

Answers

it pumps 8 gallons a minute so it is 8x ( 8 gallons times x minutes)

you then need to subtract that amount from 1200


 lets say it pumped for 10 minutes,  8 *10 = -80

1200 - 80 =1120


 now the answers you have to choose from are kind of tricky because they don't give you the easiet one

 so using the numbers above

 the formula would be

1120 = -80+1200 =

y =-8x +1200

Final answer:

The equation y = 1200 - 8x models the amount of water in the tank as it is being pumped out.

Explanation:

The equation that models the amount of water in the tank y after x minutes is:

y = 1200 - 8x

This equation represents the initial 1200 gallons of water in the tank decreasing by 8 gallons per minute as it is being pumped out over time.

At a local carnival, a hot dog costs $1.50 each and water costs $0.80 each. You want to buy food and water for yourself and your friends but do not want to spend more than $20. Which inequality represents how many hot dogs and how much water you can buy?

Answers

Let x be the amount of hot dog and let y be the amount of water. So you will pay for it 1.50*x+0.80*y. Since you do not want to spend more than 20$, it should satisfy the inequality 1.50*x+0.80*y<=20.

1.50x+0.80y≤20 is inequality represents how many hot dogs and how much water you can buy

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

a hot dog costs $1.50 each and water costs $0.80 each.

Let  x be the amount of hot dog

y be the amount of water

As hot dog costs $1.50 each, 1.50x

water costs $0.80 each, so 0.80y

You want to buy food and water for yourself and your friends but do not want to spend more than $20

1.50x+0.80y≤20

Hence, 1.50x+0.80y≤20 is inequality represents how many hot dogs and how much water you can buy

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Find the slope of the line.

Answers

a simple way of finding the slope is counting the spaces. the graph is going downwards to the right so it's clear the slope is negative, and if you count you'll see it takes going down 3, over 5 to get to the next point. therefore, the slope is -3/5
Its negative as its slopes down from the right
slope = rise / run  =  -5/8

I’m stuck on 5-6. Please help if you could explain the answer also that would be awesome

Answers

the answer is... #5 is ONE because theres only one way to get there
i think #6 is Infinitely many

The answer to the first question is "b. one," according to Euclid's First Postulate. The answer to the second question is "c. infinitely many," according to Euclid's Second Postulate. These principles form the foundation of Euclidean geometry.

In Euclidean geometry, there are fundamental postulates and theorems that govern the behavior of lines and angles in triangles. Let's address your questions:

1. How many lines can be drawn through point A perpendicular to segment BC?

Answer: There can be only one line drawn through point A that is perpendicular to segment BC. This follows from Euclid's First Postulate, which states that a straight line can be drawn between any two points. In this case, the straight line from point A to any point on segment BC is unique and perpendicular.

2. How many lines can be drawn through point C perpendicular to segment AB?

Answer: Infinitely many lines can be drawn through point C that are perpendicular to segment AB. This is based on Euclid's Second Postulate, which states that a straight line can be extended infinitely in both directions. So, you can draw as many lines as you like, all of which are perpendicular to segment AB, and they will extend infinitely in both directions.

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324 calories in a 3-ounce serving in a unit rate

Answers

calories / oz...." / " means per

calories per oz = 324/3 = 108 calories per oz or 108/1

The unit rate of 324 calories in a 3-ounce serving is

108 calories per 1 ounce.

Given,

There are 324 calories in 3 ounce

We need to find the unit rate which means how many calories in one ounce.

We have,

In 3 ounces there are 324 calories.

We can write it as,

3 ounce = 324 calories

Dividing both sides by 3,

We get,

1 ounce = 324 / 3

1 ounce = 108

So,

In 1 ounce we have 108 calories.

This is our unit rate.

Thus the unit rate of 324 calories in a 3-ounce serving is 108 calories per 1 ounce.

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Use a trigonometric ratio to find the length of side ST.

Answers

check the picture below.

make sure your calculator is in Degree mode.

How many pentagons can be drawn by joining the vertices of a polygon with 10 sides?

Answers

..............10c5..............

Find the 55th derivative of y = cos(3x).

Answers

since the derivative of cos(ax) is -a sin(x) and the derivative of sin(ax) is a cos(ax), then the 55th derivative will be 3^(55) (-1)^(54/2)) (-1) sin(3x) or: 3^(55)*sin(3x)

Final answer:

The 55th derivative of y = cos(3x) is recognized by repeating the derivative patterns of cosine functions and is found to be -27cos(3x).

Explanation:

The 55th derivative of y = cos(3x) can be found by recognizing that the derivatives of sine and cosine functions repeat every four steps. Considering the pattern cos(x) -> -sin(x) -> -cos(x) -> sin(x) -> cos(x), and that the derivative of cos(3x) is -3sin(3x), we can determine that the pattern repeats every four derivatives with a factor of 3n, where n is the number of times the derivative is taken.

The 55th derivative will be the same as the third derivative in the cycle, but with an iteration count of 55/4, which leaves a remainder of 3, so the 55th derivative will be -27cos(3x).

Solve for a.
7a-2b=5a-b

Answers

a=1 because the 2b and be cancel out and you combine like terms

Answer: a=-3b

                  2

Step-by-step explanation:

get all letters on the same side so:

7a-5a (because when you cross the = you do the opposite)=-b+2b

2a=b

you are solving for a so: 2a/2=b/2

so the 2 cancel out and you have a=1/2b

3x-43=8 slove the equation

Answers

3x - 43 = 8
Shift the - 43 to the other side and change it to +
3x = 8 + 43
3x = 51
Isolate x by shifting 3 to the other side, dividing 51 by 3.
X = 51 / 3
X = 17
Salutations!

[tex]3x-43=8[/tex]

Keep the variables aside, and the numbers aside.

[tex]3x = 8+43[/tex]

The operation changes as you isolate them

[tex]3x= 51[/tex]

Divide 51 by 3

[tex]x=51/3[/tex]

[tex]x=17[/tex]

Hope I helped (: 

Have a great day!

Write a function for the area of a triangle with a base 3 cm greater than 5 times it’s height. What is the area of the triangle when it’s height is 6 cm

Answers

f(x)=3+5h
h is height which you multiply by 5. then it says three cm bigger than that so you add 3.

plug in 6:
f(x)=3+5×6
------
f(x)=3+30
--------
f(x)=33

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

Answers

The slope would be 1/4 because to find the perpendicular slope, you find the negative reciprocal

a.Write an inequality that represents the fact that while making your productyou can’t exceed this spending limit.
b.Solve this inequality and graph the solution on a number line. Explain whatyour solution means in terms of the situation.
c.In Task 1 you determined how much you will charge for each item. Write anequation that represents your total earnings based on the price of your itemand how many you sell.
d.Using your answer from part B and your equation from part C, what is themost money you can hope to earn from your business?
e.Don’t forget that at the beginning of the process you had to spend some ofyour own money to get started. With the costs taken into account, what wasyour total profit? Did you make money or lose money? Now that you havethese values, would you adjust your business plan from Task
THIS IS WHAT HAVE FOR TASK 1:Here at CeCe`s NeckIace am willing to invest $150 in this business. b. I am going to make and sell necklace’s. They are easy and quick to make, are worn by everyone, and are also fairly popular. It will cost me about 25 dollars to make 40 necklace`s, which is about 2 dolllars (1.6) per necklace. c. I will be able to profit from them because the amount that I will end up selling will be more than the amount I end up spending and investing.

Answers

Final answer:

The inequality 1.6n ≤ 150 represents the max number of necklaces you can make within budget. Solving this gives n ≤ 93.75, meaning you can sell up to 93 necklaces. Total earnings are represented by E = np. The maximum earnings are 93p. Profit is calculated by deducting costs from earnings.

Explanation:

For (a) given that the initial investment is $150 and the cost per necklace is $1.6, the number of necklaces you can make without exceeding this limit is represented by the inequality 1.6n ≤ 150, where n represents the number of necklaces.

For (b), to find the maximum number of necklaces you can make, divide the total investment by the cost per necklace. Solve the inequality 1.6n ≤ 150 by dividing both sides by 1.6: n ≤ 93.75. This means you can make and sell up to 93 necklaces without exceeding your investment. To graph this, draw a number line and mark a closed circle at 93 to indicate that this value is included in the solution.

For (c), if you let p be the price at which you sell each necklace, your total earnings will be represented as E = np, where E stands for earnings.

For (d), substituting n ≤ 93.75 into E = np, the maximum you can hope to earn is 93p.

For (e), the total profit will be E - $150 (initial investment) - $1.6n (cost of necklaces). This would lead to either making a profit or loss. The profit or loss would then be used in adjusting your business plans.

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Identify the coefficients and variables in each expression. 5j-9cd+2 ??

Answers

The leading coefficient is -9
The degree is 2
The leading term is 9cd
Variables are nothing more than a placeholder. They stand for things that you want to find out but don't have the answer to yet.
The variables are j, c, and d.

Which is the measure of one interior angle of a regular triangle?

Answers

A regular triangle is one for which all sides are congruent and all interior angles are congruent, the sum of the interior angles are always 180°, so 180 : 3 = 60°


60°

The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers

Answers

The numbers are 39 and 35.

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15? Enter your answer in the box

Answers

Step 1

Find the slope of the given line

we have

[tex]3x+4y=15[/tex]

Isolate the variable y

Subtract [tex]3x[/tex] both sides

[tex]3x+4y-3x=15-3x[/tex]

[tex]4y=-3x+15[/tex]

Divide by [tex]4[/tex] both sides

[tex]y=-\frac{3}{4}x+ \frac{15}{4}[/tex]

the slope of the given line is

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

Step 2

Find the equation of the line that passes through  the point [tex](8,-2)[/tex] and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

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

[tex](x1,y1)=(8,-2)[/tex]

substitute in the equation

[tex]y+2=-\frac{3}{4}(x-8)[/tex]

[tex]y=-\frac{3}{4}x+6-2[/tex]

[tex]y=-\frac{3}{4}x+4[/tex]  or  [tex]3x+4y=16[/tex]

therefore

the answer is

[tex]y=-\frac{3}{4}x+4[/tex]

or

[tex]3x+4y=16[/tex]

Answer:

3x+4y=16

Clarifying because other explanation was confusing

Just took review

Step-by-step explanation:

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