Write the equation of the line that passes through the points (8,1) and (2,-5) in standard form, given the the point- slope for is y+1=2/3(x-8)

Write The Equation Of The Line That Passes Through The Points (8,1) And (2,-5) In Standard Form, Given

Answers

Answer 1

first off, those two points above do not give that point-slope form, however, the issue is just what's the standard form.

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf y+1=\cfrac{2}{3}(x-8)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+1)=3\left( \cfrac{2}{3}(x-8) \right)}\implies 3y+3=2(x-8) \\\\\\ 3y+3=2x-16\implies 3y=2x-19\implies -2x+3y=-19 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 2x-3y=19~\hfill[/tex]

Answer 2
Final answer:

The equation of the line that passes through the points (8,1) and (2,-5) in standard form is 2x - 3y = 13.

Explanation:

To find the equation of the line that passes through the given points we need to understand the slope (rise over run) and the y-intercept. The provided equation, y + 1 = 2/3(x - 8), is in point-slope form (which is y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line). To transform to the standard form, we distribute the 2/3 on the right side, subtract 1 from both sides to move y to the left side.

Following these steps, we get: 2x - 3y = 13, as the equation of the line in the standard form.

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Related Questions

8 x 1,000,000+5 x 10,000+2 x 1,000+6 x 100 in standard form?

Answers

Answer:

8052600

Step-by-step explanation:

According to the Order of Operations, in this case, you deal with all multiplication before adding everything up.

I am joyous to assist you anytime.

the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

To express the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form, we can simplify the multiplication and then sum up the products.

8 x 1,000,000 = 8,000,000

5 x 10,000 = 50,000

2 x 1,000 = 2,000

6 x 100 = 600

Adding these values together:

8,000,000 + 50,000 + 2,000 + 600 = 8,052,600

Therefore, the expression 8 x 1,000,000 + 5 x 10,000 + 2 x 1,000 + 6 x 100 in standard form is equal to 8,052,600.

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What is the error in both of these problem

expain how you got your answer​

Answers

Answer:

Step-by-step explanation:

2.

Step where it was wrong ->

x-8 = 0

x=-8

They just put negative eight on the right side you have to cancel negative 8 out by adding negative 8 on both sides.

x-8=0

+8   +8

x=8 <- Right solution.

3.

Step where it was wrong ->

8(p-7) = 75

8p-7=75

Distributive Property you have to do 8 times p and 8 times -7, they just did 8 times p and forgot to do 8 times -7.

8(p-7)=75

8p-56=75     <- Do 8 * -7 in addition of doing 8 *p

8p=131

/8   /8

p = 16.735 or 131/8

Omg what is my life plz help

Answers

Answer:

bag 1) 10.3 grams

bag 2) 5.23 grams

bag 3) 3.74 grams

And the total mass is 14.27

Finding the area of a triangle in sq. mm Answer choices in picture*!!

Answers

Answer:

200 mm^2

Step-by-step explanation:

Area of the rectangle = 2 * 25 = 50 mm^2.

Area of the triangle = 1/2 * 20 * 15

= 1/2 * 300

= 150 mm^2.

Total area = 150 ^ 50 = 200 mm^2.

0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
store, 6 shrubs cost $66.00. How much will be save if he buys 21 shrubs from the garden store
compared to if he had bought them at the nursery?
$12.00
6 Shows
67ttoo

Answers

Final answer:

By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.

Explanation:

Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.

At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.

For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.

At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.

Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.

Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.

Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.

At the beach, 45% of people have red towels and 15% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?

Answers

To find out what percent of the people at the beach have white towels, we can take the sum of the percents and subtract them from 100. In other words, we can add up the percents of both the red and the blue towels and subtract the sum from 100%.

45 + 15 = 60

100 - 60 = 40

Therefore, 40% of the people at the beach have a white towel.

Answer:

40%

Step-by-step explanation:

At the beach, 45% of people have red towels and 15% have blue towels. If the  rest have white, 40% of the people at the beach have white  towels.

In order to find the answer, you have to do the following steps:

45% + 15% = 60%

100%  - 60% = 40%

Therefore, the answer is 40%.

RE
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)

Answers

Answer:  [tex]\bold{\dfrac{16}{3}}[/tex]

Step-by-step explanation:

Inverse variation uses the formula: xy = k

We are given that x = 2 and y = 8, so k = 16

Now, let's find x when y = 3 and k = 16

[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]

2x + 3 =-7
Match equation to its solution

Answers

Answer:

X= -5

Step-by-step explanation:

You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10 Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)Therefore, your answer is x= -5

Hope I helped! :)

Sorry about the whole dang essay lol

Answer:

x= -5

Step-by-step explanation:

1. subtract 3 from both sides. You should have 2x = -10

2. divide both sides by 2. You should end up with x = -5

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, C(x)?

Answers

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

[tex]C(0) = 10(0) + 500 = 0 + 500 = 500[/tex]

b. For zero items produced, cost will be-

[tex]C(25) = 10(25) + 500 = 250 + 500 = 750[/tex]

c. If [tex]C(x)_{max} = 1500[/tex]

[tex]10x + 500 = 1500\\10x = 1000\\x = 100[/tex]

∴ domain for cost function will be [tex][0,100][/tex] and range will be 100

Answer: A) fixed cost is $500

B) Cost of making 25 items is $750

C) Domain: [0,100]

Range :[500,1500]

I got 100% on test with these answers

A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total 24 minutes. What equation can you use to find the distance of the flowerbed from the hive?

Answers

Answer:

the answer is 0.5

Step-by-step explanation:

A middle school principal orders 60 pizzas for a schoolwide pizza party. Each pizza is either cheese,pepperoni, or mushroom. There are an equal number of cheese and pepperoni pizzas. Of the total amount of pizzas, 40% are mushroom. How many pepperoni pizzas are there?

A. 15
B. 18
C. 20
D. 30

Answers

18 because if you divide them you'll get it

Answer:

i think 18 or twenty not sure tho

What is |-84.7|? A. 8 B. 84.7 C. -84.7 D. -84.7 or 84.7

Answers

Answer:

your answer is B

Step-by-step explanation:

Your answer would be B

- 0.46 divided 0.2 =

Answers

Answer:

-2.3

Step-by-step explanation:

Don't forget to move the decimal

what are the coordinates of the midpoint of the segment whose endpoints are A(-3, -5) and B(2,7)

Answers

Answer:

(-0.5,1)

Step-by-step explanation:

The half of the diference between the points its equal to its midpoint distance:

[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]

What is 17/20 in a decimal

Answers

Answer:

0.85

Step-by-step explanation:

1/20=0.05

0.05*17=0.85

17/20 as a decimal would be 0.85

sinθ> cosθ<0 where does angle θ lie

Answers

Since you want a negative cosine, your angle will surely lie in the II or III quadrant.

In particular, in the II quadrant, the cosine is negative and the sine is positive, so you surely have [tex]\sin(\theta)>\cos(\theta)[/tex]

As for the third quadrant, we start with

[tex]\sin(\pi)=0,\quad\cos(\pi)=-1[/tex]

(which implies that the sine is greater than the cosine) and we end with

[tex]\sin\left(\dfrac{3\pi}{2}\right)=-1,\quad\cos\left(\dfrac{3\pi}{2}\right)=0[/tex]

which implies that the sine is less than the cosine.

Halfway through, we have

[tex]\sin\left(\dfrac{5\pi}{4}\right)=\cos\left(\dfrac{5\pi}{4}\right)=\dfrac{\sqrt{2}}{2}[/tex]

So, only the first half of the III quadrant is fine, because sine and cosine are both negative, but the sine is "less negative" than the cosine, so we have, as requested,

[tex]\begin{cases}\sin(\theta)>\cos(\theta)\\\cos(\theta)<0\end{cases}[/tex]

So, the final answer is that the angle lies in the interval

[tex]\dfrac{\pi}{2}<\theta<\dfrac{5\pi}{4}[/tex]

Answer:

[tex]\theta\in\left(\pi+2k\pi;\ \dfrac{3\pi}{4}+2k\pi\right)[/tex]

Step-by-step explanation:

I think correct inequality is

[tex]\cos\theta<\sin\theta<0[/tex]

The easiest way is to draw graphs of sine and cosine functions in one coordinate system and read a set of solutions from the graph (look at the picture).

We need to solve the equation

[tex]\sin\theta=\cos\theta[/tex]

to get the intersection points of the graphs.

[tex]\sin\theta=\cos\theta\qquad\text{divide both sides by}\ \cos\theta\neq0\\\\\dfrac{\sin\theta}{\cos\theta}=1\to\tan\theta=1\to\theta=\dfrac{\pi}{4}+k\pi,\ k\in\mathbb{Z}[/tex]

We look at where the sine function graph is above the cosine function graph.

39X5=5X(____-1)=(5X___)-(5X1)=___-___=__

Answers

Answer:

8 85

Step-by-step explanation:

Final answer:

The operational value being sought in the equation 39X5 equals 5X(___-1) is 40. When you multiply 5 with 40 and subtract the product of 5 and 1 from the result, you get 195, which matches 39x5.

Explanation:

The equation provided is a multiplication and subtraction problem, where you're tasked to find a sequence of operations that gets from 39x5 to an answer. Detangle it step by step:

The first operation is simple multiplication: 39x5 equals 195.Then we need to figure out the number which when multiplied by 5 and subtracted by the product of 5 and 1 results in 195. This number is 40 because 5x40 is 200, and subtracting 5 (which is 5x1) gives us 195. Hence the equation becomes 5x(40-1). To verify, the left side of the equation 5x(40-1) becomes (5x40) - (5x1) which equals 200 - 5, and that is indeed 195, matching the right side of the first equation (39x5).

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solve for x x/7 +9=15

Answers

subtract the 9 from 9 to cancel it out. Then subtract 9 from 15, which is 6. And 6 times 7 is 42.

Answer:

x = 42

Step-by-step explanation:

x/7 + 9 = 15

=> x/7 = 15 - 9

=> x/7 = 6

=> x = 6(7)

=> x = 42

Determine the length arc of JL

Answers

Answer:

The solution is

13

12

π.

Step-by-step explanation:

Arc Length=

m(ARC)

360

· 2πr

How many 1/16 inches are in one inch?

Answers

The answer is 16 inches are in 1/16 inches

I really don't get the whole Mean, Median and Mode thing.​

Answers

Answer:

The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.

Mean is all the numbers together in total so in order to get the mean you just add up all the numbers then divide by the total amount of numbers in that set.

Median in order to find the median you rearrange the numbers least from greatest and find the average from the two numbers in the middle of the set 2,2,2,2,2,4,5,5 21, in this case 2 because it's the number in the middle.

Mode in a set of numbers the mode is the most occurring of numbers 2,2,2,4,5,21,2 2,5 which would be 2 in this case.

Hope this helps.

Area of a parallelogram with a base length of 2.9 ft and a height of 5.5 ft

Answers

Step-by-step explanation:

Area of parallelogram = ( base ) ( height )

area of parallelogram = ( 2.9 ft ) ( 5.5 ft )

( as given )

area of parallelogram =15.95 ft²

Evaluate 6j+23+kl−3, when j=3, k=7, and l=33.

Enter your answer in the box.


Answers

Answer:

269

Step-by-step explanation:

1) Substitute in the given values for each variable:

6(3)+23+(7)(33)-3

2) Simplify:

18+23+231-3

3) Simplify again:

269

PLZ HELP 25 POINTS THIS IS AN EMERGENCY THANKS!!

Answers

This is how the graph looks. Hope it helps!!!!

Please answer this correctly

Answers

Answer:

Rita

Step-by-step explanation:

Everyone else is further from Rita.

List the fractions and decimals from greatest to least
3/4 -7/10 -3/4 8/10​

Answers

Remember that in fractions the small fractions are greater then big fractions and also remember that this rule doesn't apply with negative fractions and it's the opposite.

[tex]\frac{3}{4} -\frac{7}{10} -\frac{3}{4} \frac{8}{10}[/tex]

[tex]\frac{3}{4} >\frac{8}{10}[/tex]

[tex]\frac{8}{10} >-\frac{7}{10}[/tex]

[tex]-\frac{7}{10} >-\frac{3}{4}[/tex]

[tex]= \frac{3}{4} ,\frac{8}{10} ,-\frac{7}{10}, -\frac{3}{4}[/tex]

Therefore your answers are "3/4, 8/10, -7/10, and -3/4."

Hope this helps.

(3×7)+5=26 write a situation for this equation​

Answers

Answer:

Tom is at the grocery store and is buying 3 treats. Each treat costs him 7 dollars. He is also purchasing a drink for 5 dollars. What is the total amount he is spending?

A sample of ore is found to be 0.0042% gold and 0.049% diamond. What is the percentage of matter in the ore that is neither gold nor diamond?

Answers

Answer:

0.007%

Step-by-step explanation:

This is the answer because I need points to answer a question

Answer:

99.9468 %

Step-by-step explanation:

The total percentage of the diamond and gold is:

0.0042 %  + 0.049%  = 0.0532%

The percentage of other metal that is neither gold or diamond = 100 - 0.0532

                                                                                                         = 99.9468 %

Solve 4x - c = k for x

Answers

Step-by-step explanation:

4x-c=k

4x=c+k

x=(c+k)/4

Answer:

X= K-C/4

Step-by-step explanation:

The -C goes to the K makes it K-C

Then /4 because we need the ex by their self

Lastly we get W=K-C/4

. A mason has 7,758 bricks that he needs to share equally among 9 different building sites. How many
bricks should go to each site?​

Answers

Answer:

862

Step-by-step explanation:

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