line a passes through the points (3,4) and (-1,2). line b passes through the points (-12,0) and (-6,-4). at what point do the lines intersect

Answers

Answer 1

Answer:

The point of intersection of the two lines is;

(-9,-2)

Step-by-step explanation:

What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points

For the first line;

The general form is

y = mx + b

formula for the slope is;

m = (y2-y1)/(x2-x1)

The points (3,4) and (-1,2)

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

So the equation is;

y = 1/2x + b

To get b, let us substitute coordinates of the first point;

4 = 1/2 * 3 + b

4 = 3/2 + b

b = 4 - 3/2

b = (8-3)/2 = 5/2

So the equation is;

y = 1/2x + 5/2

For the second line;

Slope;

m = (-4-0)/(-6+12) = -4/6 = -2/3

The equation is;

y = -2x/3 + b

Let us substitute the first

0 = -2/3(-12) + b

0 = 8 + b

b = -8

The equation is;

y = -2x/3 - 8

Now , we want to get the intersection point

To do this, we have to solve both equations simultaneously;

Since we have an expression for y in both cases, let us equate both y

-2x/3-8 = 1/2x + 5/2

Multiply through by 6

-4x - 48 = 3x + 15

-4x-3x = 15 + 48

-7x = 63

x = 63/-7

x = -9

To get x;

Recall;

y = -2x/3 - 8

y = -2/3(-9) - 8

y = 6 - 8

y = -2


Related Questions

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.

Answers

Complete Question:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

Therefore, in this case,

c = 45

b = 27

a = 36

Thus, what we need to check to be true would be:

36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)

Let's check if it's true.

2,025 = 2,025 (this is true)

Therefore, the triangle is a right triangle.

What is the solution to the system of equations shown below?

Answers

Answer:

Need to see the solution

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

which where is the equation

Can you add 4√10 and 4√6 together? If so, what is the answer?

Answers

Answer:

No, because the radicands are not the same

Step-by-step explanation:

PLZZZZZZZ HELLLPPP MEE HURRYRYYYYYYY AREA OF A CIRCLE PLZZ ILL MAKE YOU BRILLIANTEST PLZ HURRY!!!!!!!!! USE PIE IN YOUR ANSWER!!!!!!!!

Answers

Answer:

I think it is 15.708. sry if i am wrong

Step-by-step explanation:

What is
-5 = m + 11 ?

Answers

Answer:

-16

Step-by-step explanation:

-16+11=-5 that's it lol

Answer:

m= -16

Step-by-step explanation:

subtract 11 from both sides

-5 - 11 =m + 11 - 11

combine like terms (-5 - 11 and 11 - 11)

m= -16

Brandy is watching a baseball game. So far, 8 out of 10 batters
have gotten a hit. What is the experimental probability that the
next batter will get a hit?

Answers

Answer:

8/10 aka 4/5 chance

Step-by-step explanation:

if 8/10 batters have hit the ball that means that the chance that the next ball is hit is 8/10, reduced its 4/5 chance or 80%

Which function is linear

A. F(x) = |3x| + 4
B. F(x) = 1/3x + 4
C. F(x) = 3x - 4
D. F(x) = |3x| - 4

Answers

D is the answer you got to do

Answer:

D. F(x) = |3x| - 4

Step-by-step explanation:

. If we subtract 4a–7ab+3b+12 from 12a–9ab+5b–3,then the answer is:

Answers

8a-2ab+2b-15 is the answer

Step-by-step explanation:

Answer:

8a-16ab+2b-15, i think

8. Find X
help i need this today

Answers

It’s 144

You do a^2 + b^2 = c^2

B is 42 and C is 150 since it’s the hypotenuse

You do it all out and get 22,500 - 1764

Then find the square root and end up with 144

25 POINTS // URGENT

SportsTown is having a 30%-off sale on baseball equipment. Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question
49 - 0.3(49). Juan finds the sale price by multiplying 0.7(49).
Who found the correct sale price?



GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the your answer and it will be removed shortly afterwards.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer: Thus both of them got it correct

Step-by-step explanation:

Step 1

Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).

the Price will be 49-14.7=34:3

Step 2

Juan finds the sale price by multiplying 0.7(49).

0.7x 49 =34.3

The probability of Jan's school bus running late is 38. In 168 days of riding the bus, how many times can Jan expect it to be late? Enter the correct answer in the box.

Answers

Jan can expect to be late 4 times in 168 days.

Hope this helps.

245,600,000,000 In scientific notation

Answers

Answer: 2.456 x 10^11

Step-by-step explanation:

You move the decimal to the left until there’s no more zeroes

Answer:

there :D

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.456 ×  10  to the power of 11

PLEASE HELP PLEASEEEEEEEEEEEEEE​

Answers

Answer

sorry it’s no the 9 shirts is wrong

Step-by-step explanation:

Answer:

No the cost of the 9 shirts is incorrect

If the expression 9x + (4 – 3x) + 7is simplified completely, how many terms will the expression contain?

Answers

Answer: 2 terms

Step-by-step explanation:

There are two terms because

One is __x the other is the constant

9x + 4 - 3x + 7

6x + 4 - 7

6x - 3 has two terms

If the given mathemtical expression is simplified completely, the expression would contain 2 terms.

How to simplify the expression?

Given this expression: 9x + (4 – 3x) + 7

Remove the brackets : 9x + 4 - 3x + 7

Add similar terms: 6x + 11

To learn more about mathematical expressions, please check: https://brainly.com/question/11980704

help me with these 3 and i’ll love you forever and give you brainliest:)

Answers

Answer:

18. 5

19. 1

20. B) (0,-11)

A truck is carrying mango juice and grapefruit juice bottles. The ratio of mango juice to grapefruit juice is 3:4 How many mango juice bottles are there if there are 24 grapefruit juice bottles? Write a ratio and use x as your variable.​

Answers

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18.

Another way of writing it is 75% of 24 = 18

There are 24 red flowers and 16 yellow flowers. What percent of the flowers are
yellow?

Answers

24+16=40
100/40=2.5
2.5 x 16 = 40
40% of the flowers are yellow

Hope this helps

How do you find the slope of (14,-8) and (7,-6)

Answers

Use the formula: y^2 - y^1 divided by x^2 - x^1.
x^1= 14, y^1= -8, x^2= 7, y^2= -6
Plug it in: -6- -8 divided by 7-14
Answer: 2/-7

Find the x and y intercepts

7x - y = 28

Answers

Answer:(0, -28) and (4,0)

Step-by-step explanation:

[tex]7(0)-y =28\\-y=28\\y=-28\\(0, -28)[/tex]

[tex]7x-0= 28\\x=4\\(4,0)[/tex]

Which expression shows four times eight to the fifth?

Answers

Answer:

C. Four times eight to the fifth.

Step-by-step explanation:

A. is four times TIMES 5 (Incorrect, NOT the answer)

B. Is 4 to the eight TIMES 5 (Incorrect, NOT the answer!)

C. Is 4 times eight to the fifth (CORRECT, is the answer.)

D. Is 4 to the eight TIMES 5 again! (Incorrect, NOT the answer!)

     I Hope This Helped! :)

Use long division to find the quotient: 7/8.

I just don´t get it?

Answers

Answer:

0.875

Step-by-step explanation:

you just divide 7 by 8, and you would get 0.875

7/8=0.875

PLEASE HELP

Connor and Angie helped take attendance during their school's practice
fire drill. Connor counted 470 in attendance and Angie counted 479. The
actual attendance was 470. What is the percent error? (ROUND TO THE
NEAREST TENTH.) *
0.019
1.2%
1.9%
12%

Answers

Answer: 1.9%

Step-by-step explanation:

The percent error formula is [tex]\frac{accepted-experimental}{accepted}[/tex] so input our values also keep in mind when we do percent error we use absolute error which means no negative percentages so 470-479/470= -9/470 or 9/470

as a decimal 9/470 is 0.019 or 1.9% so the answer is 1.9%

Select all equations that have graphs with the same y-intercept. y = 3x - 8 y = 3x - 9 y = 3x + 8 y = 5x - 8 y = 2x - 8 y = ⅓x - 8

Answers

The y intercept is the one without the x with it so all the -8 ones are the same intercept

PLEASE HELP!!!!!
Solve for measure angle B.

Answers

It is 42. It is easy like the bottom one

Help Please !!

A baby bird can eat 14 feet of earthworm every day. At this rate, how many days would it take six baby birds to eat 840 feet of worms?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10 days

Step-by-step explanation:

840 feet of worms divided by 6 birds = 140

If a baby bird can eat 14 feet of earthworms every day, then:

140 divided by 14 = 10

It would take 10 days for 6 birds to eat 840 feet of worms

PLS HELP ASAP 4 BRAINLIEST

Answers

Answer:

8.0<x<8.5

Step-by-step explanation:

I need help ASAP!!!!

Answers

Answer:

Step-by-step explanation:

V=side ³=8=2³

side=2 in

Answer:

2 in

Step-by-step explanation:

X^3= 8

X = 2

Which are true statements when comparing the data in the box plots? Select three choices.
The data for elementary school are more consistent than those for middle school.
More of the data for middle school lie closer to the median than the data for elementary school.
About 50% of elementary school students watch between 4 and 7 hours of television each week.
About one-half of middle school students watch less than 2 hours of television each week.
On average, middle school students watch less television than elementary school students each week.

Answers

Answer:

A,C,E

Step-by-step explanation:

Answer:

A- The data for elementary school are more consistent than those for middle school.

C- About 50% of elementary school students watch between 4 and 7 hours of television each week.

E- On average, middle school students watch less television than elementary school students each week.

Step-by-step explanation:

Edge 2021 December 8th

Which statement is true?
The following are the amounts, in dollars, that 15 items
sold for at a silent auction as part of a school fundraiser.
15, 24, 89, 76, 45, 32, 55, 140,
72, 21, 52, 68, 81, 33, 40
O Only 15 is an outlier.
o Only 140 is an outlier.
O Both 15 and 140 are outliers.
There are no outliers.

Answers

The statement which is true among the answer choices is; Only 140 is an outlier.

Which data value among the given values is an outlier?

An outlier by definition is a data point that differs significantly from other observations which may be due to an error and hence, may cause difficulty in statistical evaluation.

On this note, it follows that only 140 is an outlier among the answer choices.

Read more on outliers;

https://brainly.com/question/3631910

#SPJ1

It's D. There are no outliers

PLEASE HELP It's for 10pts

Answers

Answer:

9x+2

Step-by-step explanation:

It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.

(2x+2)+(3x+1)+(4x-1)

2x+2+3x+1+4x-1

Combine like terms.

2x+3x+4x=9x

2+1-1=2

Left with 9x+2 as your perimeter binomial.

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