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

What is the slope of the line that passes through the points: (5, -3) and
(-1,6)

Answers

Answer:

-1/2

Step-by-step explanation:

https://www.calculator.net/slope-calculator.html

That website has the best explanation ^^^^^

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]m=\frac{\text{rise}}{\text{run}}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (5, -3) (-1, 6).

[tex]\frac{6-(-3)}{-1-5}=\frac{9}{-6} =-\frac{9}{6}=\boxed{-\frac{3}{2}}[/tex]

Hope this helps you!

Please help grade depends on it

Answers

Answer:

C

Step-by-step explanation:

17/10 is correct

I hope this helped, have a nice day

There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then leveled off across their tops, what is the difference in the amount of snow cone each will hold

Answers

Answer:

[tex]d = 787.81cm^3[/tex]

Step-by-step explanation:

Given

See attachment for the containers

Required

The difference in the amount of snow cone they hold

The amount they hold is determined by calculating the volume of the containers.

The traditional snow cone has the following dimension

Shape: Cone

[tex]r=4cm[/tex] --- radius

[tex]h = 13cm[/tex] --- height

The volume is calculated as:

[tex]Volume = \frac{1}{3} \pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} \pi * 4^2 * 13[/tex]

[tex]V_1 = \frac{208}{3} \pi[/tex]

The snow cone in a cup has the following dimension

Shape: Cylinder

[tex]r=8cm[/tex] --- radius

[tex]h = 5cm[/tex] --- height

The volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

So, we have:

[tex]V_2 = \pi *8^2 * 5[/tex]

[tex]V_2 = \pi *320[/tex]

[tex]V_2 = 320\pi[/tex]

The difference (d) in the amount they hold is:

[tex]d = V_2 - V_1[/tex]

[tex]d = 320\pi - \frac{208\pi}{3}[/tex]

Take LCM

[tex]d = \frac{3*320\pi -208\pi}{3}[/tex]

[tex]d = \frac{960\pi -208\pi}{3}[/tex]

[tex]d = \frac{752\pi}{3}[/tex]

Take [tex]\pi = 22/7[/tex]

[tex]d = \frac{752}{3} * \frac{22}{7}[/tex]

[tex]d = \frac{752 * 22}{3*7}[/tex]

[tex]d = \frac{16544}{21}[/tex]

[tex]d = 787.81cm^3[/tex]

Find the distance between the two points.

(12, 5), (−12, −2)

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

use the formula

√(x2 - x1)² + (y2 - y1)²

here x2 = -12 , x1 = 12 , y2 = -2 and y1 = 5

so just substitute in the formula like this

√ ( -12 -12)² + (-2 - 5)²

√(-24)² + (-7)²

√ 576 + 49

√625

25

In the 8-sided figure below, adjacent sides meet at right angles and the lengths are given are in meters. What is the perimeter of the figure, in meters?




40
40

80
80

120
120

160
160

400
400

Answers

Answer:

80

Step-by-step explanation:

Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.

P = 4 * 20 = 80

The perimeter of a shape is the summation of the sides of the shape. The perimeter of the shape is 80 units.

From the attached figure, we have the following observations

All sides of the shape are either vertical or horizontal lineNone of the side lengths overlaps

This means that if the shape is drawn (see attachment) to have 4 sides, opposite sides of the shape will be congruent.

The first side length is:

[tex]Length = 20[/tex]

While the adjacent side length is:

[tex]Width = 12 + 8 =20[/tex]

The perimeter (P) of the shape is then calculated as follows:

[tex]P = 2 \times (Length + Width)[/tex]

[tex]P = 2 \times (20 + 20)[/tex]

[tex]P = 2 \times 40[/tex]

[tex]P = 80[/tex]

Hence, the perimeter of the shape is 80 units.

Read more about perimeters at:

https://brainly.com/question/6465134

Anybody who want extra points I can give it too you, NOT A JOKE I AM SERIOUS.
Just answer this question:

Answers

Answer:

? 40.50

Step-by-step explanation:

90 ÷ 20 × 9 = 40.5

Answer:

cost of 9article is 40.50

hope it helps.

I NEED HELP Quadratics and Their Solutions

Answers

1st one is second image
2nd one is 4th image
3 one is 5th image
4 is 3rd image
5th is 1st image

Write the expression for this problem:
The pizza place sold 1 pizza for 8$ and it costs 0,25$ per garnish.

Answers

Answer:

8 + 0.25g

Step-by-step explanation:

(g is the variable for garnish)

Solve. 2(2z + 5) = 50​

Answers

Answer:

z = 10

Step-by-step explanation:

Distribute 2 to the terms in the parentheses:

2(2z + 5) = 50​

4z + 10 = 50

Subtract 10 from both sides

4z = 40

Divide each side by 4

z = 10

So, the answer is z = 10

Answer:

10

Step-by-step explanation:

1. Factorize left side.

2*2z+2*5=50

4z+10=50

2. Subtract 10 from both sides

4z=50-10

4z=40

3. Divide both sides by 4

z=40/4

z=10

40 people are coming to Tony's party. 20% of them will eat one
hamburger. Hamburgers cost $2.50 each.
How much money will Tony spend on hamburgers?

Answers

Answer:

20$

Step-by-step explanation:

20percentage of 40=1/5×40

=8

Tony spent=8×$2.50=20

Help plsss no links!!! What is the measure of X in degrees?

Answers

Answer:

40⁰

Step-by-step explanation:

As triangle is isosceles,

Z = Y = 70⁰

Thus X = 40⁰, to corporate angle sum property

Identify the coordinates of triangle ABC when it is dilated by a scale factor of 2 from the origin (0,0).

Answers

Answer:

[tex]A' = (-4,4)[/tex]

[tex]B' = (2,6)[/tex]

[tex]C' = (2,0)[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]A = (-2,2)[/tex]

[tex]B= (1,3)[/tex]

[tex]C= (1,0)[/tex]

[tex]k = 2[/tex] --- scale factor

Required

The new coordinates

The new coordinate is calculated by:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A * 2[/tex]

[tex]A' = (-2,2) * 2[/tex]

[tex]A' = (-4,4)[/tex]

[tex]B' = B * 2[/tex]

[tex]B' = (1,3) * 2[/tex]

[tex]B' = (2,6)[/tex]

[tex]C' = C * 2[/tex]

[tex]C' = (1,0) * 2[/tex]

[tex]C' = (2,0)[/tex]

Jerry is charged for $2 for every day he is late paying his cable bill. Which integer correctly shows how much Jerry owes if he is 12 days late paying his cable bill?

Answers

Answer:

24

Step-by-step explanation:

we know that for every day he is late, he is charged 2 dollars. Since he is 12 days late, we can simply do the following:

$2 × 12 days = $24

Val measures the diameter of a ball as 6 inches. How many cubic inches of air does this ball hold, to the nearest tenth? Use 3.14 for π.

Answers

Answer:

The ball holds 113.0 cubic inches of air

Step-by-step explanation:

Firstly we need to know the shape of the ball

A ball is spherical in shape

So to know the number of cubic inches, we have to find the volume of air in the ball

Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere

The formula for the volume of a sphere is ;

V = 4/3 * pi * r^3

in this case, r = d/2 = 6 /2 = 3 inches

where r is the radius of the ball and d is the diameter of the ball

So, substituting these values , we have

V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches

Is (10, –6) a solution to this system of equations? ASAP PLS IM IN CLASS

11x + 19y = –4
3x + 8y = –18

Answers

Answer:

Yes.

Step-by-step explanation:

(10, -6) are the values to substitute in for x and y, respectively.

11(10) + 19(-6) = 110 - 114 = - 14

3(10) + 8(-6) = 30 - 48 = -18

The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that represents the length of the room

Answers

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, [tex]A=3x^2-x-10[/tex]

The width of the room, [tex]b=(x-2)[/tex]

We need to find the length of the room.

The area of the room is given by :

A = lb

[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)[/tex]

So, the length of the room is equal to (3x+5).

A bicycle depreciates in value each year. The value of the bicycle can be represented by the function y = 250(.85)6.
Identify the intial value and the decay rate.

Answers

Answer:

A=250

r= 15%

Step-by-step explanation:

Given data

We have the function

y = 250(.85)^6------------1

The given function is the same as the exponential decrease

function

P=A(b)^t---------------------2

Note

b= 1-r= 1-0.15

b= 0.85

When we compare both 1 and 2 above

A=250

r= 15%

easy algebra question below first correct answer gets brainliest if you put a link you will be blocked and reported

Answers

Answer:

option d is the correct answer

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you please I beg you no n no no no link

Answers

Answer:

fist silde =is 15,4,25

second slide is=18

third slide is=15,31,25

Step-by-step explanation:

sorry i cant get the 4th and 5th ones. but i mean you can mark me brainliest.

hope you have a great day and god loves u<3

Answer:

6..... left side: 4, right side: 15 and 25 7.... 18 centimeters 8..... left side: 15 and 25, right side: 28 9..... 8 weeks 10.... left side: 20, right side: 27, 45.

Step-by-step explanation:

I hope this helped you! I would write the explanation for each problem but that would take to long.

Does this figure have symmetry?

Answers

No because if you split it in half the halves don’t match

Escribe cada expresión como un numero racional.

A. El denominador es el triple del numerador disminuido en 2 y el numerador es el menor múltiplo de 5 diferente de 0.

B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

ayudenme pliss

Answers

Answer:

es la B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты

Answers

Answer:

I do not understand ummmm

125/95 as a decimal ill mark you brainliest

Answers

The answer would be 1.3157

If you are rounding to nearest tenth it would would be 1.3

If your rounding to nearest hundred then it would be 1.32

If your rounding to nearest thousand then it would be 1.316

71.700 rounded to the nearest hundredth

Answers

Answer:

71.70

Step-by-step explanation:

Answer:

71.70 for sure

Guys please help I’m having so much trouble

Answers

Answer:

Hello! Your answer would be B)B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

answer this for brainilest and 11 points

Answers

Answer:

1. 2x+4

2.2x-3

3.4x

4.3x-4

Hey, would anyone know the answers/correct matchup to this? (USA test prep)

Answers

Answer:

there you go

Step-by-step explanation:

-3x + y = 7
5x+ 2y = 3
Substitution?

Answers

Answer: r=-1,y=4

Step-by-step explanation:

from edgunuity please help asap! image attached above​

Answers

It’s 4 I hope this helps


Explanation I took this in 9th grade so I know how to do this kind of stuff

pls help asap no files though

Answers

Answer:

About 10 for A and B

Step-by-step explanation:

Just count the little boxes :)

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