5. Use the point-slope formula to determine the equation of a line that passes through the points (1, 2) and (-2, 1).

Answers

Answer 1

Answer:

In point-slope form the equation is:

[tex]y - 2 = \binom{1}{3} \times (x - 1)[/tex]


Related Questions

One angle of the following triangle measures 2x. How many degrees does that angle
2x
X+15
2x+10

Answers

Given info:- In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

Explanation:-

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of s of a =180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

If two corresponding angles in a triangle are congruent, the triangles are congruent.

True
False

Answers

Answer:

False

Step-by-step explanation:

All angles and all sides have to be congruent.

I hope this helps!!

pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525

Answers

Answer: I think A 1,220 (I'm not sure)

Step-by-step explanation:

the aswer is A.1,220 si think si correct.

What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank

Answers

Answer:

B. Credit that is automatically renewed as debts are paid

Hope this helps :)

At gym A is 76.50 for 8.5 hours. At gym B cost is 10.50 for 3/4 hours which plan of offers the best deal

Answers

The better deal is gym a.

Tell me if you want step by step explanation!

Hope this helped. :)
Gym A is the correct answer.

what is the slope and the y intercept of y= -9x + 15

Answers

Answer:

Step-by-step explanation:

the slope for y = -9x + 15

Slope: -9

y-intercept: y= -9(0) + 15 = 0 + 15 = 15

(0, 15)

Answer:

-9

(0, 15)

Step-by-step explanation:

y = mx + c

y = -9x + 15

so m = -9

y intercept is when x = 0

c = 15

(0, 15)

Hey thank you for helping me

Answers

Answer:

0

Step-by-step explanation:

anything that is divided by 0 makes 0

have a good day!

Answer:

D Undefinited

Step-by-step explanation:

(-6 * 3)/0=

-18 * 0 =

-0

Compare:
5/14 11/18
.
>
<
=

Answers

Answer:

<

Step-by-step explanation:

hope this helps <33

Which graph represents the function y = 2x - 4?
ТУ
2
2
.
4
X +
x
-4 -3 -2 -1
X
TO
O
-3 -2 -1
2.34

Answers

Answer:

the third graph.

the one where x intercept with 2

Step-by-step explanation:

2x-4=0

2x=4

x=2

therefore the graph should have a line that have a x-intercept of 2

Kelly worked on a straight 8 % commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, they both sold $21,700 worth of
merchandise
Step 1 of 2: How much did Kelly earn for this month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Answers

The total amount of money Kelly earned for the month is $1,736

Commission refers to a sum of money paid to a salesperson for every sale that he or she makes. It is usually a percentage of the total sales.

Given:

Kelly

Worth of goods sold = $21,700

commission = 8%

Total earned = 8% of $21,700

= 8/100 × 21,700

= 0.08 × 21,700

= $1,736

Approximately, $1,736.00

Therefore, the amount of money Kelly earned for this month is $1,736

Learn more about percentage commission:

https://brainly.com/question/22221759

Help pleaseeeeeeee asapplpl

Answers

Answer:

the graph is incorrect first u correct this

A force of 56N is required to keep a spring stretched 4m from the equilibrium position. How much work in Joules is done to stretch the spring 8m from equilibrium? Round your answer to the nearest hundredth if necessary.

Answers

Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.

Thanks ☺️

Hope it helps you.

no link no bot right please

Answers

Answer:

2143.57 cm^3

Step-by-step explanation:

the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57

What is two divided by one thousand two hundred and twenty eight

Answers

Answer 1/614

Step-by-step explanation:

What should be done to both sides of the equation in order to solve -5m = -40?


A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.

Answers

Answer
B. Divide by -5

Answer:

B.Divide by -5

Step-by-step explanation:

-5m= -40

divide bothe sides by -5

m= -40/-5

m= 8

4. Suppose you have a map of Charlotte where 2
inches equals 4 miles. On the map, the distance
from your house to school if 3.5 inches. How
many miles is this?

Answers

convert inches to miles .

Please help!

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.

Answers

Answer:

it would be c because its moved 2x up

Step-by-step explanation:

y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.

Answers

Answer:

See below

Step-by-step explanation:

1. Graph each inequality2. Take the intersection of shaded regions as solution

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

Find the x - and y - intercepts, connect them with dotted line, shade the area above the line

x < 4

Draw a dotted line x = 4, shade the area to the left of the line

Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $

Answers

Answer:

la théorie des plaques est

The total present value will be $693.75

The total present value will be $668.23

What is Future Value?

Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).

First, i= 4/100 = 0.04

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.04) +  250/ (1 + 0.04)² +  250/ (1 + 0.04)³

=  250/ 1.04 + 250/ 1.04² + 250/ 1.04³

= 240. 38 + 231.13 + 222.24

= $693.75

So, The total present value will be $693.75

Second,  i= 6/100 = 0.06

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.06) +  250/ (1 + 0.06)² +  250/ (1 + 0.06)³

=  250/ 1.06 + 250/ 1.06² + 250/ 1.06³

= 235. 84 +  222.49 + 209.90

= $668.23

So, The total present value will be $668.23

Learn more about Future Value here:

https://brainly.com/question/14860893

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Help help
Help help help help help

Answers

Answer:

It equals 1.66666666666...

But you can round it to 1.7 if your rounding to the nearest tenth.

It equals 1.666666666
So just round and you get 1.7

Write each value in standard form.
1. 507 thousandths
2. 5 and 6 thousandths
3. 9 and 62 thousandths​

Answers

Answer:

1. 0.507

2. 5.006

3. 9.062

Step-by-step explanation:

If a value has “thousandths” in the question, the decimal place goes 4 places to the left: ex. 0.007.

A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)

Answers

Answer:

a= -5

b=5

c=6

substitue each value as x

If 2 pizzas cost $16, how much do 4 pizzas cost?

Answers

Answer:

$32

Step-by-step explanation:

$16/2 pizzas = $8 per pizza

($8)(4)=$32

Answer:

$32

Step-by-step explanation:

16/2 is 8. So each pizza costs exactly 8 dollars. You have to do 4x8 which is 32

Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

Answers

There are 49 total marbles, the chance of you getting a red is 17/49, and if you don’t replace the marble and pull out another one, the probability of that being red is 17/49*16/48=17/147. That’s approximately a .12% chance.
16/48=1/3

The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

A jar contains 17 red marbles and 32 blue marbles.

If we pull out 2 marbles at random, we need to find the probability that both are red.

The number of possible outcomes,

[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]

The number of possible outcomes of selecting both the red marbles.

[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]

The probability that both the marbles are red,

[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]

Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]

Learn more about the probability here:

brainly.com/question/11234923

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Adam And Eve had 32 apple in 8 barrels how many would they have in all?

Answers

Answer:

Adam and Eve will have 4 apples in each barrel

Step-by-step explanation:

32/8

= 4

During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.

Answers

Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.

For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:

[tex]E(X) = np[/tex]

In this problem:

Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].

Then:

[tex]E(X) = np = 2(0.535) = 1.07[/tex]

A similar problem is given at https://brainly.com/question/24261244

If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?

Answers

Answer:

33.33%

Step-by-step explanation:

the holiday season,
13 homes on a certain street displayed lights and
8 displayed lawn ornaments. Five of the homes
displayed both lights and lawn ornaments. If there
are 32 homes on the street, how many had no
decorations at all?
O
3-3 Venn Diagram Stations.pdf


Answers

13+8+5=26
32-26=6
6 homes have no decorations at all.

10 times 10 times 100 divded by 1 times that again 10000

Answers

Answer:

100,000,000

Step-by-step explanation:

I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.

Answers

Answer: 27 students

Step-by-step explanation: 6 x 4 = 24

24 + 3 = 27

Answer:

27 Students in the class

Step-by-step explanation:

First we have to find out how many people are in the 6 groups of 4. 6x4=24

And of course 1 group of 3 people. Add them together to get 27 people.

24+3=27

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