Write an equation of the
line that passes through
the given points (-3,-1)
(2, 2)

Answers

Answer 1

Answer:

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]

Step-by-step explanation:

First, find the slope:

m = (change in y) / (change in x) = rise / run

m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5

Then, write the equation of the line in point-slope form:

y - b = m(x - a)  where  (a, b) is a point on the line

y - 2 = (3/5)(x - 2)

Finally, solve for y:

[tex]y = \dfrac{3}{5}(x - 2) + 2[/tex]

[tex]y = \dfrac{3}{5}x - \dfrac{6}{5} + 2[/tex]

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]


Related Questions

Use the point-slope formula to write an equation of the line that passes through 4, 5 and −6, −4 . Write the answer in slope-intercept form (if possible).
The equation of the line is _________ .

Answers

Answer:

y-5=9/10⋅(x−4)

Step-by-step explanation:

If the function f(x) = 5(2x) is squared, which function is produced?

Answers

The function is a linear function, and the equation of the function when squared is (f(x))² =25(4x²)

How to determine the new function?

The equation of the function is given as:

f(x) = 5(2x)

When the function is squared, we have:

(f(x))² =(5(2x))²

Evaluate the exponent

(f(x))² =25(4x²)

Hence, the equation of the function when squared is (f(x))² =25(4x²)

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25 points! Please help! Will give brainliest to correct answer!

Answers

Answer:

I think AC is 6.

Step-by-step explanation:

This looks like an equilateral triangle so that means because there is a 3 on  one side of the line it should be the same on the other side of the line so 3 x 2 = 6.

Step-by-step explanation:

[tex]triangle \: abd \\ using \: pythagoras \: theorem \\ {hyp}^{2} = {adj}^{2} + {opp}^{2} \\ {12}^{2} = {3}^{2} + {opp}^{2} \\ 144 = 9 + {x}^{2} \\ 144 - 9 = {x}^{2} \\ 135 = {x}^{2} \\ take \: the \: square \: of \: both \: sides \\x = 11.62[/tex]

using the opposite side of triangle and

[tex]using \: pythagoras \: theorem \\ {16}^{2} = {11.62}^{2} + {x}^{2} \\ 256 = 135.02 + {x}^{2} \\ 256 - 135.02 = {x}^{2} \\ 120.198 = {x}^{2} \\ take \: the \: roots \: of \: both \: sides \\ x = 10.96[/tex]

therefore the length of line AC

[tex] = 3 + 10.96 \\ = 13.96[/tex]

hope this helps

a prism is completely filled with 96 cubes that have edge lengths of 1/2 cm. What is the volume of the prism?
Enter your answer in the box.​

Answers

Answer:

12 cubic cm

Step-by-step explanation:

[tex]V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} [/tex]

It is given that: prism is completely filled with 96 cubes.

[tex]\implies \: V_{prism} =V_{96\: cubes}[/tex]

[tex]\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}[/tex]

What is the distance between the two points (-2, 6) and (-2, -1)?

Answers

(0,7) is the distance between the two points

Question #2
Allison simplifies the expression correctly.
What is Allison's result?
pic committee for qualifying
A
ва
B
0
ol
D
}
82

Answers

Answer:

First, the student performed what was inside of the parentheses and was exponential, which is correct. We know this because of the rules called order of operations, outlined by PEMDAS, which tells us to perform mathematical operations in the following order: parentheses, exponents, multiplication, division, addition, subtraction.

So by the rules I just outlined, next the student should have performed the multiplication, but instead performed subtraction, which is incorrect.

The following is the correct simplification of the expression:

23 - 8 times 2 + 3 by the power of 2

So first we should perform parentheses, but there are none. So we move to the next option in the list, which is exponents, which we do have (3^2).

23 - 8 * 2 + 3^2

23 - 8 * 2 + 9

Next in PEMDAS comes multiplication and division. This means the next step in simplifying the expression is to evaluate 8*2.

23 - 16 + 9

Next in PEMDAS is addition, so we should perform the operation -16 + 9.

23 - 7

Finally, the last step in PEMDAS is to simplify the remaining operation (subtraction).

16

Therefore, the student did the first step correctly but performed the second step incorrectly. The final answer should be 16 after simplification.

Hope this helps!

Please I need Brainliest.

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

This method is incorrect.

Step-by-step explanation:

The student's understanding of an exponent -1 is correct, but applying it to the inverse function f^-1(x), is wrong.

The method to find inverse function is to replace f(x) with y, switch x and y, then solve for y.

To use the (incorrect) "simple method" Put a 1 on top and move the function to the bottom (denominator).

For example, let's look at the function f(x) = x+3

Write y in place of f(x).

y = x + 3

Switch x and y.

x = y + 3

Solve for y.

Subtract 3.

x - 3 = y

Rewrite.

y = x - 3

This is the proper inverse function.

f^-1 (x) = x - 3

Using the (incorrect) "simple method"

f(x) = x + 3

f^-1(x) = 1/(x+3)

This shows that the shortcut doesnot work, its wrong. To do it correctly, switch x and y and solve for y.

example problems for area

Answers

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

ans: 75

Find the area of a rectangle in square inches with a length of 15 inches and a width of 5 inches in sq. inches.

__________________________________________________________

ans: 113.10

Find the area of a circle with a diameter of 12 inches in square inches.

I will mark brainlest or wtv its called

Answers

Answer:

A

Step-by-step explanation:

-7 is the farthest left on the number line so it is the least value

-5 is the second least value on the numberline

then 0

1/4

and 1/2

the least value is on the left and the greatest is on the right

so the answer is A

Am I correct? Tell Me How
The dot plot shows the number of cough drops that were in each bag of cough drops inspected at a factory.

How many bags of cough drops were inspected? Enter your answer in the box.

Answers

Answer:

yes its 18

Step-by-step explanation:

count the dots

Round -13.457 to nearest integer

Answers

Answer:

Answer:

-13

Step-by-step explanation

Rounded to the nearest 0.01 or

the Hundredths Place.

Select the correct answer.
Solve the quadratic equation below.

Answers

Answer:

First choice

Step-by-step explanation:

X= - 2/3; - 20/9

4x+4=2x-6 solve for x homework due for tomorrow

Answers

Answer:

-5

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

Given Equation,

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4=2x-6}}}}}}} \\ \\[/tex]

Subtracting 4 from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4 - 4=2x-6 - 4}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x-10}}}}}}} \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x - 2x= 2x-10 - 2x}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\rm { 2x= -10 }}}}}}} \\ \\[/tex]

Dividing 2 from both sides we get :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = - \frac{10}{2} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { x= -5 }}}}}}} \\ \\[/tex]

Therefore,

The value of x is -5

Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 60°F.
a) Find a function T(t) that models the temperature t hours after death.
b) If the temperature of the body is now 72°F, how long ago was the time of death?
( pls show work, will give Brainliest)

Answers

Answer:

(a)    T(t) = 60 + [tex]38.6e^{-0.1947t}[/tex]

(b).    t≅ 6 hours

Step-by-step explanation:

Find detailed explanation the above answer.

In the diagram, AC is a diameter of cirde O. If the slope of BC is -7'
s the slope of A8?
OA
ANI-

Answers

[tex]\bold{ANSWER:}[/tex]
Option: C

[tex]\bold{EXPLANATIONS:}[/tex]

What is the volume of this prism?​

Answers

Answer:

56.25    units^3

Step-by-step explanation:

To find the volume, multiply the three dimensions

3.75 * 3 * 5 =

It takes staff members 162 minutes total each night to clean all six ovens. If each staff
member works for 18 minutes, how many staff members does it take to clean the
ovens?

Answers

Answer:

9

Step-by-step explanation:

If it takes 162 minutes each night to clean all 6 ovens, and each staff member works for 18 minutes each then we have to use division to find out how many staff members it will take to clean the ovens.

First we have to divide 162 by 18 which equals 9. This is a one step problem, so 9 is the answer.

It will take 9 staff members to clean all 6 ovens.

Happy Holidays

It takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.

Given that total cleaning time is 162 minutes

Time per staff member is 18 minutes

To find the number of staff members (N), we divide the total cleaning time by the time per staff member:

N = Total cleaning time / Time per staff member

N = 162 minutes / 18 minutes

N = 9

Therefore, it takes 9 staff members to clean all six ovens, with each staff member working for 18 minutes.

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Use substitution to solve the system.
- 3x + y = 14 and
2x + 3y = -2
x=[]
y=[]

Answers

Answer:

x=-4

y=2

Step-by-step explanation:

y= 14+3x

2x+3y =-2

2x+3(14+3x) =-2

x= -4

y= 14+3(-4)

y=2

Please help I'll mark brainliest ​

Answers

Answer:

you would be correct in the second option, unknown

Step-by-step explanation:

anonymous is another word for unknown, i learned this in gamer talk ;P

Answer: Unknown.

Step-by-step explanation: When any author is anonymous whether they write myths, legends, short stories, etc, it means that their name is hidden or unknown.  If you looked it up online, it would tell you this, "(of a person) not identified by name; of unknown name."  Therefore, anonymous means an author not identified who is unknown.

Let me know if this is right! :)

please help me this ​

Answers

Answer:

Question 1:

So you have 80 gummies and take 2 a day for 40 days

2(40) = 80

So at the end of 80p days, 0 gummies will be left

Question 2:

Now you have 90 and take 3 a day for 40 days

3(40) = 120

You will not have enough to cover the entire 40 days if you take 3 a day.

Hope this helps :)

Answer:

See below ~

Step-by-step explanation:

Question #1

80 vitamin gummiesUsage rate = 2 per day for 40 daysRemaining = 80 - 2(40) = 80 - 80 = 0

Question #2

90 jelly bean vitaminsUsage rate = 3 per day for 40 daysRemaining = 90 - 3(40) = 90 - 120 = -30But negative is not a possible answer ⇒ lowest possible is 0

20. Find the value of x.
142
3x + 7
5x • 9
142°

Answers

Answer:

The answer is

Step-by-step explanation:

142

=

3

x

+

7

=

5

x

9

=

45

x

142

°

=

45

x

Which triangle below represents a
90° rotation about the origin?

Answers

Answer:

Because of the ratio in 2 becomes 3-1 is 2

Amy and Julie are going camping.
Each of them both has a bag of marshmallows. The bag of marshmallows has 30 marshmallows inside. The girls also bring crackers. If Amy and Julie make 15 s'mores, how many crackers and marshmallows did they use?

Answers

Answer:

60 marshmallows and 30 crackers

Step-by-step explanation:

Each girl brought a bag of marshmallows containing 30 marshmallows inside. 2 x 30 = 60 marshmallows altogether.

Since there are 15 s'mores, we have to distribute the marshmallows equally.

60 ÷ 15 = 4 marshmallows in each. But if we multiply that again ( 15 x 4 ) we get 60 again. Thus, they used 60 marshmallows altogether.

The girls make 15 smores. A s'more has two crackers inside one.

2 x 15 = 30 crackers.

Hope this helped.

Answer:

60 marshmallows and 30 crackers

explanation:

1. 15 x 4 = 60

60 divided by 15 = 4

2. 15 x 2 = 30

what is the volume of this cone in cubic inches

Answers

Answer:

84.78 inches cubed  - hope this helped :)

Step-by-step explanation:

formula - πr^2[tex]\frac{h}{3}[/tex]

3 x 3 x 3.14 = 28.26

28.26 x 9/3

28.26 x 3

answer = 84.78

Answer:

84.78 inches cubed

Step-by-step explanation:

You need to comprehend the volume formula for cones

Volume Formula for Cones: V=1/3hπr²


Your measurements:

9 inches for height

3 inches for radius

**Radius is half of a circle and diameter is full of the circle/base.***


Equation:V=1/3 x 9in x π x 3²

You should do 3 squared first so that you can input it into your calculator easily.

V=1/3 x 9in x π x 9


Now on a calculator do 1 divided by 3 which is the "1/3" in the formula.

Then multiply 9, 3.14 for pi, and 9 for radius.

Note: You should do 3.14 for pi not the whole pi symbol on the calculator.

Your answer: 84.78 in cubed

       

Which is a solution of x2-x-3/4= 0?

-1/4
1/2
3/2
3/4

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2 because when you multiply it it is equal to ilove you

HHHHEEEELLLLPPPPP
PPPPLLLLLLSSSSS
10 points

Answers

Answer:

Step-by-step explanation:

1Bothlineparrell
The The 80-(A

The table shows the relative frequencies of the results for a netball team after a
number of games.
Result of game
won
lost draw
Relative frequency
0.55
0.35
0.1
[2]
a) Complete the table.
b) The team won 15 more games than they lost.
How many games did the team play altogether?

Answers

Using proportions, it is found that:

a) The table is completed with 0.1.b) The team played 75 games.

What is a proportion?

A proportion is a fraction of a total amount.

Item a:

The sum of the frequencies is of 1, hence, the table is completed with 1 - (0.55 + 0.35) = 0.1.

Item b:

Considering that there were n games, we have that:

The team won 0.55n games.The team lost 0.35n games.

The difference was of 15, hence:

0.55n - 0.35n = 15

0.2n = 15

n = 15/0.2

n = 75

The team played 75 games.

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Answer:

ahello

Step-by-step explanation:

cameo homeo romeo can you be my juliet

A right angle is divided into 3 equal angles. What is the measure of
each smaller angle in degrees?

Answers

Answer: 30 degrees

Step-by-step explanation:

90 degrees / 3 angles = 30 degrees



HELP URGENT 30 POINTS

Answers

Answer:

              vertex

ray

Step-by-step explanation:

The point where the rays intersect, upper right, is the vertex.

One side of the angle, bottom left, is a ray.

First is line point second is endpoint

A prism is completely filled with 96 cubes that have edge length of 1 cm. What is the volume of the prism? Enter your answer in the box. . 412 cm​

Answers

Answer:

96

y-step explanation:

volume of 1cm cubes = 1 x 1 x 1 = 1 cm^3

so it will take 96 cubes to fill the prism

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