How do I find the point of intersection?

How Do I Find The Point Of Intersection?

Answers

Answer 1

Answer:

(-1 3/5, 2 3/5)

Step-by-step explanation:

Red Line:

m = 3-(-1)/-2-2 = 4/-4 = -1

b = 1

equation:  y = -x + 1

Blue Line:

m = 5-1/2-(-4) = 4/6 = 2/3

find 'b':

5 = 2(2/3) + b

15/3 = 4/3 + b

b = 11/3

equation:  y = 2/3x + 11/3

Find Point of Intersection:

-x + 1 = 2/3x + 11/3

multiply each side by 3 to get:

-3x + 3 = 2x + 11

-5x = 8

x = -8/5

find 'y':

y = -(-8/5) + 1

y = 8/5 + 1 = 13/5

y = 2 3/5


Related Questions

A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers from this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following correctly interprets the 90% confidence interval for the true mean number of hours teenagers from this town watch sports?

90% of all teenagers from this town watch sports for the number of hours that lie between the values in the interval.
In repeated sampling, 90% of the time, the true mean number of hours teens from this town watch sports will be 6.25 hours.
The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.
In repeated sampling, 90% of the time the true mean number of hours teens from this town watch sports will be captured in the constructed interval.

Answers

Answer:

c. The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.

Step-by-step explanation:

got it right on edge

The statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

First, we will find the 90% confidence interval:

We have:

X = 6.25 hours, SD =4.33 hours, n = 40

90% confidence interval:

= (X±t×s/√n)

For 90% confidence interval:

t = t(n-1), 1-α/2 = t(39), 0.95 = 1.685

After putting all the values in the above confidence interval, formula:

We get:

Confidence interval = (5.097, 7.404)

Thus, the statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

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Please help I have been stuck for a while

Answers

Answer: 6.3

c^2 = a^2 + b^2

c^2 = 2^2 + 6^2

c^2 = 4 + 36

c^2 = 40

c = 6.32455532

Which expression is equal to 4y?


y + 3


y2 + y2

3у + 1

y+ y + y + y

Answers

There are two answers:
2y+2y=4y
Y+y+y+y=4y

Answer:

D. y + y + y + y

Step-by-step explanation:

What is the solution to the equation 4w=2/3?

w=2/12

w=2/7

w=8/3

w=3 1/3

Answers

Answer:

2/12

Step-by-step explanation:

4w=2/3

1/4(4w)=1/4 x 2/3

w=2/12

The list shows the growth in centimeters of students in two years.

6, 7, 8, 8, 8, 8, 9, 9, 10, 11, 11, 12, 14

Which box plot best displays a summary of these data?

Answers

Answer:

D

Step-by-step explanation:

Answer.

Step-by-step explanation:

In science class, students are mixing water and a citric acid solution. The table shows how much water and acid solution two students use. Whose mixture is more acidic?

Answers

Answer:

the one with the most parts citric acid

Step-by-step explanation:

no tables were provided but if a cup is 3/4 water and 1/4 citric acid and the other is 1/4 water and 3/4 citric acid then it's the second one. Basically it the one with the most citric acid.

Read this carefully please!

Answers

Answer:

A. X=3

B. X=19/5

That the answer for your question.

Step-by-step explanation: Hope this help :D

5(x+1)=20, 5x+5=20, 5x=15, x=3
5x+1=20, 5x=19, X=19/5 or x=3.8
I wrote out the answer because I needed 20 characters

A student can type 2 3 of a page in 1 5 hour. How many pages can the student type in an hour?
Need this asap

Answers

Answer:

2/15

Step-by-step explanation:

find a common denominator:

3, 6, 9, 12, 15

5, 10, 15

the common denominator is 15.

add by how many times you added 3 and 5.

3+4=7/15

do the same with 5 and subtract the answers:

7/15-5/15= 2/15

Answer:

2/15

Step-by-step explanation:

Solve for the values of x and y:

y = 3x - 5 ........(i) and y = -x + 7 ........(ii)

Answers

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

jerry has a water tank that holds 5 gallons of water. jerry drinks 4 pints of water a day. how many full tanks of water will he drink in 30 days?

Answers

Answer:

3

Step-by-step explanation:

first of all, 8 pints=1 gallon

multiply 4 by the number of days which is 30 so you get 120. then divide by 8 (pints) to find the number of gallons. you come out with 15 gallons. each tank has 5 gallons, so 15 divided by 5 is 3.

Dominic spent hours on his art project. Rachel worked times as long on her art project as Dominic worked. For how many hours did Rachel work on her art project?

Answers

Answer:

Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Step-by-step explanation:

See comment for complete question

Given

Let

[tex]D = Dominic[/tex]

[tex]R = Rachel[/tex]

So:

[tex]D = 2\frac{3}{4}[/tex]

and

[tex]R =1\frac{1}{3}[/tex] as long as D

Required

Determine the number of hours spent by Rachel

This implies that:

[tex]R =1\frac{1}{3}[/tex] as long as D

Rewrite as:

[tex]R =1\frac{1}{3} * D[/tex]

Substitute: [tex]D = 2\frac{3}{4}[/tex]

[tex]R =1\frac{1}{3} * 2\frac{3}{4}[/tex]

Express as improper fraction

[tex]R =\frac{4}{3} * \frac{11}{4}[/tex]

This gives:

[tex]R =\frac{1}{3} * 11[/tex]

[tex]R =\frac{11}{3}[/tex]

Express as mixed numbers

[tex]R =3\frac{2}{3}[/tex]

Hence, Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Find the zeros of the expression

Answers

the answer is 4, -5, 3
The answer is B. 4,-5,3

I need help if you answer correct I will give brainiest

Answers

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

If n/12 = 15/36 , then n= ___.
pls help me!

Answers

Answer: n=5

have an amazing day <3

n x ? = 15
12 x ? = 36

12 x 3 =36
15 / 3 = 5

N= 5

16-11-13-5-10 2-15-18 13-23 8-11-17 11-12 22-11-12-19 decode message

Answers

Answer:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Step-by-step explanation:

Given

See attachment for code key

Required

Decode

16-11-13-5-10

2-15-18

13-23

8-11-17

11-12

22-11-12-19

From the code key, we can see that each number represent the alphabet at that position;

To do this, we simply replace each number with the alphabet they represent.

So, we have:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Answer:

do you just need the letters or... cuz the letters dont spell anything

Step-by-step explanation:

Who here absolutely hxtes school.(and hxte is such a strong word I despise school)???.........because teachers constantly pack work on you and don't stop til you get tired and then you don't do the work at all, but they have the nerve to call you "lxzy" when you have been really working hard on your grades and your parents can't understand why you are about to fail so they try and compare school then and school now but you get annxyed because everyone knows school has changed and with the pandemic they have no right to call you "ungrxteful"......On top of that you have three major test coming up because school isn't even about learning it's about passing with all this stxpid irrelevant extra algebra they teach in math...that had no affect on the career you wanna do or what you want to do in your life.....but apparently in school they want you to be under pressure and stressed out....school is the reason i need ther.apy, school is apart of the reason why I don't like existing that much, and school is the reason why i have anx.iety and i feel my self slowly slipping into depr.ession.......ya know what lets just call this a POV


and if you like school....the LUCKY YOU (enjoy it while you can) smh

Answers

Answer:

Lol

Step-by-step explanation:

I’m sorry you feel that way during the begging of the school year I despised school. Having to go there every day, repeating the same thing, over and over again. But guess what bestie school ends in 2 months at least for me.

The table shows Emily's monthly budget. Emily earns $1,300 a month.

Monthly Budget

Expense Amount of Money
Clothes
$260
Food
$350
Cell phone
$75
College savings
$195
Car payment
$300
Other
$120

Which statement is NOT supported by the information in the table?

Answers

Answer:75

Step-by-step explanation:

At a point 70 feet from a tree, a forester measures the angle of elevation to the top of the tree to be 62°. How tall is the tree to the nearest foot?

Answers

Answer:

The tree is about 62ft tall

Step-by-step explanation:

sin(62)=x/70

70sin(62)=x

61.8=x

explain truth tables and how they work​

Answers

A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.

Please help ASAP!!!
Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travel 30 miles per hour faster than the other plane and they meet in one hour, what are their respective speeds?
Thank you, thank you, thank you!!

Answers

Let the speed of the first plane be x then the speed of the second plane would be x + 30

The combined speed is x + x + 30 = 2x + 30

2x + 30 = 380

Subtract 30 from both sides

2x = 350

Divide both sides by 2

X = 175

The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour

Can someone please help!

Answers

Answer:

- 3+2x/x-3

Step-by-step explanation:

Is 27 an irrational number?

Answers

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Its rational

If ur sqare rooting it than yes it is

Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

Help I’ll give brainliest!

Answers

Answer:

-5

Step-by-step explanation:

Gradient/ slope = [tex]\frac{-8-7}{ 5-2}[/tex](change in y/ change in x)

= [tex]\frac{-15}{3} = -5[/tex]

50 POINTS FOR BRAINLIEST (also $45 prize given on a cash sending app)
use a calculator if needed
Javier estimates the square root of 18 in the following way:

18−−√=29–√=2∗3=6
18=29=2∗3=6



Explain why her reasoning is incorrect.

Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.

Answers

Answer:

The square root will be about 4 because the formula for square root is √(x^2) = x

Step-by-step explanation:

Answer:

√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.

4x4 = 16

5x5 = 25

so √18 is between 4 and 5. closer to 4

Step-by-step explanation:

what is 66.66 as a fraction​

Answers

Answer:

The answer to this question is 3333/50

Answer:

66.66 as a fraction is [tex]{66}\frac{33}{50}[/tex]

Step-by-step explanation:

Find the area of the circle with a diameter of 12 m.
a 95.64 m2
b 112.27 m2
C 113.04 m2
d 210.36 m2

Answers

Answer:

113.04 is our answer

Step-by-step explanation:

When finding Area the formula to do so is

radius x radius x pi

Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So

3.14 x 36 = 113.04 So c is our answer!

Is (x + 2) a factor of 3x3 + 4x2 - 4 ?

Answers

Answer:

No it is not a factor

Step-by-step explanation:

Reason for not being a factor is 3x^3-4x^2-4x. 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x. Factor x x out of 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x

Write the numbers -2.1, -1.8, -2.5 and -2.7 from greatest to least.​

Answers

Answer:

-1.8, -2.1, -2.5, -2.7

hope it helps.

Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?

Answers

Answer:

28

Step-by-step explanation:

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