Writing the Standard Form of a Line
Try it
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point
slope form is y + 1 = 2/3 (x – 8).
____x + ____y = ____

Answers

Answer 1

Answer:

[tex]2x-3y = 19[/tex]

Step-by-step explanation:

In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:

[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]


Related Questions

8. Evaluate the expression (ab)^2 for a = 4 and b = 3.

Answers

I believe the answer is 144. Because the exponent of 2 is on the outside of the parentheses, we multiply a and b first. 3 times 4 is 12 and 12^2 is 144

mo played 30 games of chess he won 18 of these games what fraction of the games did he win give your answer in its simplest form

Answers

Answer:

18/30

Step-by-step explanation:

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

What angles are congruent and opposite each other when lines intersect

Answers

Answer:

Vertical angles.

Step-by-step explanation:

Verticals angles hope I helped

A shirt at Target is priced at $20. You have a coupon for 20% off. The tax on the shirt is 8%. What will be the cost of the shirt?

Answers

The coupon 4$
The Tax is 1.6$

Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?

Answers

Well, just add 1,000 to 7,500. You then get the answer, 8,500. To check, 8,500-7,500= 1,000.

Which of the following is TRUE about sampling distributions?
Larger sample gives worse data. More samples give worse data.
Larger sample gives better data. More samples give worse data.
Smaller sample gives worse data. More samples give better data.
Smaller sample gives better data. More samples give better data.

Answers

Answer:

Smaller sample gives worse data. More samples give better data.

Step-by-step explanation:

A sample is the number of elements that are used in a given experiment.

For example, if you do a survey to 100 random people, then your sample is 100 people.

Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.

We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.

Then:

Smaller samples give worse data, and as we increase the samples, we also get better data.

The correct option is:

"Smaller sample gives worse data. More samples give better data."

Which is a solution of 2x(8x + 5) (7x – 13) = 0?

Answers

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86


Use the Subtraction Property of Equality to complete the following statement:
If 10x+6 - 21, then____=15

A.) 10x - 6
B.) 10x + 6
C.) 10x
D.) 1.5

Answers

Answer:

Assuming the question is "If 10x+6 = 21" with an equation sign in place of the subtraction:

C.) 10x

Step-by-step explanation:

10x + 6 = 21

10x + 6 - 6 = 21 - 6

10x = 15

g2 + 23 when g = 6??? help

Answers

12+23 then 35 is the answer

Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on
sale at $12 last week. What was the percentage increase in the price of the hat this
week?

Answers

Last week was $12
This week is $15
%increase = (15-12)/12 = 25%

En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?

porfa para ya

ayudaaaaaaa

Answers

Answer:

Se contagiarian 160 personas.

Step-by-step explanation:

Para este problema debenos usar la siguiente regla de tres:

[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]

Ahora, debemos despejar x de la ecuacion de arriba.

[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]

[tex]x=160(enfermas)[/tex]

Por lo tanto, se contagiarian 160 personas.

Espero te haya sido de ayuda!

Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 days

Step-by-step explanation:

1.5/5=7.5

Hope this helps!

find the value of sec ø if cos ø=2/19;0°<ø<90°

Answers

Answer:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]

I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here

Answers

So, honestly if its allowed you can just graph the equation ti prove the y intercept is five

find the value of x in the triangle shown below

Answers

Using the Pythagorean Theorem where:
a^2 + b^2 = c^2

So,

9^2 + 3^2 = 90

Sqrt 90 = 9.48

x = 9.48

HELP HELP HELPPPPP PLEASEEE

Answers

Answer:

A

Step-by-step explanation:

1/2f

Answer:

A

the first option

Step-by-step explanation:

Joan paid $47.98 for a jacket. If the tax rate is 8.25%, what was the cost of the jacket before tax?

Answers

Answer:

$44.021

Step-by-step explanation:

$47.98 - 8.25% = $44.021

which values are solutions to x 5

Answers

Um this question is unclear

When filled, a balloon in the shape of a sphere has a diameter of 14 inches. What is the approximate volume of air, in cubic inches, needed to fill this balloon?

1,078
1,437
8,621
11,494 ​

Answers

Answer:

1,437

Step-by-step explanation:

Answer:

a I'm not as smart so trust me

Step-by-step explanation:

Ms. Sanchez has $200 to spend on parking and admission to a museum. The parking will cost $10 and admission tickets cost $15.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the museum, including herself.

Answers

Answer:

12 people including herself

Step-by-step explanation:

x = number of people

($200 - $10)/$15.50 = x

x = 12.26

Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.

Answers

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

PLEASE HELPP ME IM GONNA FAIL

Answers

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

Given that -5 < -3, which statement is not true?

-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,

Answers

Answer:

-3 is less than -5

Step-by-step explanation:

the bigger the negative number is, the less it has a great amount of value.

-3>-5 is correct because -3 is greater than -5

-5 is to the left of -3 on the number line is true

-3 is to the right of -5 on the number line is true as well

hope this helps! : )

It’s -3 is to the right of -5

Please help me i only know that it is irrational

Answers

Answer:

its irrational because it doesn't terminate or repeat

Step-by-step explanation:

the square root of 5 is 2.2360679775

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

Answers

Answer:.............................................................................................

Step-by-step explanation:

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

HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation

Answers

Answer:

the slope should represent the fee of each class

.

the vertical intercept is the membership fee

Answer:

the y-inyetcept means the starting fee to join

and the slope means fee per class paid by the customers.

Step-by-step explanation:

which expression is equivalent to the expression shown?

Answers

Answer:

the answer is 7^12

Step-by-step explanation:

7^14 ÷ 7^2

14 - 2

12

A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum of the length and the width of the base is equal to the height of the pyramid what is the length of the base in feet

Answers

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

What are the steps you would take to find the area of the shaded region? Check all that apply.

Answers

Answer:

THE ANSWER IS INCOMPLETE SO IM GOING TO REPORT:/

Step-by-step explanation:

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