2. Write the equation of the line parallel to y = -4x/3 + 5 thru (-6,1). Show all work.​

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

[tex]y-1= - \frac{4}{3} (x--6)[/tex]

[tex]y-1= - \frac{4}{3} (x+6)[/tex]

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7


Related Questions

Parents of children with developmental disorders can apply for federal funding, to help pay for psychosocial rehabilitation. A sociologist working for the annual Current Population Survey wants to know the percentage of applicants for this funding who are in poverty. She needs a sample of applicants from across the U.S., so she groups all of the applications by state and randomly selects applicants from each state. What sampling scheme did she use

Answers

Answer:

Stratified sampling

Step-by-step explanation:

key word "groups"

The sampling scheme did she used is stratified sampling.

What is stratified sampling?

It is a method of sampling where the division of the population should be split into the smaller subgroup called a strata. The strata should be created depending upon on the members shared like the income etc. Here the sample should be needed for applicants for across the US also it randomly selects the applicants for each state.

So, The sampling scheme did she used is stratified sampling.

Learn more about a sample here: https://brainly.com/question/24526520

A square painting has a side length of 13 inches.
What is the area of the painting?
The area of the painting is
square inches.

Answers

Answer:

Step-⚫️_by-step explanation:

25 POINTS
Solve this equation PLEASE AND STEPS
4=1/2(2x+4+x)(x-2)

Answers

Answer:

x=−2, 2.6666

Step-by-step explanation:

Let's solve your equation step-by-step.

4=(1/2(2x+4+x))(x−2)

Step 1: Simplify both sides of the equation.

4=3/2 x2−x−4

Step 2: Subtract 3/2x^2-x-4 from both sides.

4−(3/2 x2−x−4)=

3/2 x2−x−4−(3/2 x2−x−4)

−3/2 x2 +x+8=0

For this equation: a=-1.5, b=1, c=8

−1.5x2+1x+8=0

Step 3: Use quadratic formula with a=-1.5, b=1, c=8.

x=−b±√b2−4ac

2a

x=−(1)±√(1)2−4(−1.5)(8)

2(−1.5)

x=−1±√49

−3

x=−2,2.66666666666666666666666666666

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

top choice

Step-by-step explanation:

For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.

The top choice shows side-angle-side.

The middle choice shows angle-side-angle.

The bottom choice shows side-side-side.

Answer: top choice

The one that is proven by SAS is the top choice.

The side lengths of four triangles are listed below. Determine whether each triangle is a right triangle Choose Yes or No for each set of side lengths.
a. 4,5,6 Yes No
b. 5, 12, 13 Yes No
C. 8, 15, 17 Yes No
d. 10, 15, 20 Yes No​

Answers

Answer:

yes, yes, no, no

Step-by-step explanation:

In order to determine if it’s a right triangle, use the following formula:

c2= a2 + b2

A. 16 + 25 = 36 NO.
B. 25 + 144 = 169 YES.
C. 64 + 225 = 289 YES.
D. 100 + 225 = 400 NO.

You basically multiply each number by itself and then;
Add a2 + b2.
If the sum matches c2,
Then it is a right triangle!

... Helppppp!! will mark brainiest

Answers

Answer: The answer is C

Step-by-step explanation:

C is the answer because the base is +2 and the coefficent  is  1/2 which is rise over run so you go up one space and to the right two spaces.          

Francisco took $20.00 to the mall. He found a DVD he wanted on sale for 18.50. The sales tax rate in his state is 8%. DOe he have enough money to buy the DVD, including tax?

A. No he need an addional $1.48
B. Yes, and he has $0.02 left over.
C. No, he need an additional $13.30.
D. Yes, and he has $1.50 left over.

Answers

So times 18.50 by .08 to find the 8% tax which is 1.48. then add that to the original 18.50 totals $19.98.

So b is your answer

what is the answer to 5,082 / 5 =

Answers

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.
A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together.

Answers

Last one because they decrease together

The scatterplot demonstrates the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

What is Correlation coefficient of scatterplot?

The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.

When two variables increases together, they are said to have positive correlation.

When one is increasing and another is decreasing, they are said to have negative correlation.

When most of  data points form a straight line or lies close to the straight line, it indicates strong linear correlation.

From the given options;

Option A, zero correlation

Option B, less than 1

Option C, 1 or greater than 1

Option D, -1 or less than 1

Thus, the scatterplot demonstrates the strongest relationship between two quantitative variables is option C, "a graph has x on the x-axis, and y on the y-axis. Points increase loosely together".

Learn more about scatterplot here: brainly.com/question/6592115

#SPJ2

In​ 2004, an art collector paid ​$62,817,000 for a particular painting. The same painting sold for ​$31,000 in 1950. Complete parts​ (a) through​ (d).
For part c, estimate the rate of change of the painting's value in 2026 but I want to know how to obtain the answer to the problem. Thanks!

Answers

Answer:

WeIIcome

Step-by-step explanation:

Did you find it or do you need help

what shape can be formed from the following net

Answers

Answer:

square pyramid

Step-by-step explanation:

Answer:

star

Step-by-step explanation:

How many arrangements are there of 12 distinct items?

Answers

Answer:

There are 479,001,600 arrangments of 12 distinct items.

Step-by-step explanation:

Arrangements of n items:

The number of possible arrangements of n itens is given by the factorial of n, that is:

[tex]A_{n} = n![/tex]

12 items:

[tex]A_{12} = 12! = 479001600[/tex]

There are 479,001,600 arrangments of 12 distinct items.

Please help!!! Find the side length of a

Answers

Answer:

B

Step-by-step explanation:

√c^2-b^2

√15^2-9^2

√225-81

√144

= 12

B

It’s B -15 because if you do a^2 + b^2= c^2 you’ll get the answer

Please help me with mathematics.​

Answers

Answer:

1.A+B=2y²+3x-x²+3x²-y²=+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

Find the area of the circumference of a circle wit radius 9 cm

Answers

Answer:

area = πr^2

= 81 π

circumference = 2πr

= 18 π

hope it helps

Step-by-step explanation:

A≈254.47cm²

r Radius

9

cm

d

r

r

r

d

d

C

A

Use the distributive property to write an equivalent expression. (6+8)⋅x *

Answers

Answer: 14*x

Step-by-step explanation: I am 99% sure

Help pls i'm lost help

Answers

Answer:

Step-by-step explanation:

Okay so what I understand is that you divide it let’s take example the 1st one do the picture I think then just shade the same amount. But with more parts. Hope this helps plz tell me if I’m right if not plz tell me right answer so I learn thanks.

5th grade math. correct answer will be marked brainliest.

Answers

Hopes this helps:

Answer:

8 17/24

Whats the answer to these? (These are called Proper fractions.)

Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?

Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?

Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?

Answers

Answer:

1: 7/10

2: 3/10

3: 4/8 (2/4 or 1/2 if you need to simplify it)

Step-by-step explanation:

1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10

2: Convert 4/5 and 1/2 to tenths.

4/5 is going to be 8/10, 1/2 is going to be 5/10.

Subtract 5/10 from 8/10 to get 3/10

3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.

Jeremiah: convert the 5ths to 10ths
3/10 + 4/10 = 7/10

Daniel: convert both fractions to 10ths
8/10 - 5/10 = 3/10

Jared: reduce 8ths to 4ths
1/4 + 1/4 = 2/4 = 1/2

Challenger elementary school has 800 students every Wednesday 12% of the students stay after school for the chess club. How many students attend the chess club on wednesdays?

Answers

Answer:

96 people

Step-by-step explanation:

i used a calculator

A bakery sold 210 vanilla cupcakes in a day, which was 42% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
PLEASE DONT SAY RANDOM ANSWERS ILL GIVE 15 POINTS

Answers

Answer:

88.2 is your answer.

Answer:500

Step-by-step explanation:on delta math

Given the following 4 numbers write a program that will determine which number is the smallest out of the 4.
Number 1 = 5, number 2 = 25, number 3 = 2, number 4 = 56

Answers

Answer:

2

Step-by-step explanation:

It's the smallest one.

The answer is number 2

The table represents an exponential function. What is the multiplicative rate of change of the function? 07 1 2 un un 3 2 2 5 2 25 2. 125 O 2 4 O 5​

Answers

Answer:

Step-by-step explanation:

1/5

Answer: 1/5

Step-by-step explanation:

Find the length of arc AD. Use 3.14 for .
Round to the nearest tenth.
7.9 cm
B
66.4
C
[ ? ]cm
Enter

Answers

Answer:

Length of arc AD = 15.7 cm

Step-by-step explanation:

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Central angle subtended by the arc

r = radius of the circle

From the picture attached,

Central angle subtended by arc AD = 360° - (180° + 66.4°)

                                                            = 113.6°

Length of arc AD = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]

                             = [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]

                             = 15.655 cm

                             ≈ 15.7 cm

Length of arc AD = 15.7 cm

Answer:

12.4

Step-by-step explanation:

Just did it.

L(-5, -1)
L'd
M(-3, 1). -
M'(
N(-1,8)
Nd

Answers

Answer:

huh

Step-by-step explanation:

1
Which graph corresponds to the table of values?
х
2
4
5
у
-2
2
4
А
С
B
D

Answers

Answer:

c

Step-by-step explanation:

can anyone help me please ​

Answers

A , because if you multiple you have to distribute
A, you have to use PEMDAS. So multiply and distribute

In a bag of blue and yellow candies, the ratio of blue candies to yellow candies is 3:5. If the bag contains 60 yellow candies, how many blue candies are there?

Answers

Answer:

36 blues

Step-by-step explanation:

Answer:

36 blue Candies

Step-by-step explanation:

Let

x ----> the number of blue Candies

y ----> the number of yellow Candies

we know that

The ratio of blue candied and yellow candies is 3:5

Step-by-step explanation:

The ratio of blue candied and yellow candies is 3:5

so

x = 3

y 5 -----> equation A

the bag contains 60 yellow Candies

so

y=60 ----> equation B

substitute equation B in equation A

r 3

60 5

solve for x

x=3 (60) = 36

5

How do I solve 1 1/3 × 2 2/4 in steps?​

Answers

Answer:

3 1/3

Step-by-Step

first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3

Answer:

10/3

Step-by-step explanation:

That's 1 1/3 times 2 1/2.

Converting these into improper fractions, we get 4/3 times 5/2.

Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

yes, because if you put the x value and y value in the spots it’s correct

Answer:

yes

Step-by-step explanation:

2 + 16(1) = 18

2+16 = 18

2(2) + 11(1) = 15

4+11=15

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