what is the slope of the line that contains the points (-1,2) and (3,3)

What Is The Slope Of The Line That Contains The Points (-1,2) And (3,3)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Hi there!

We are given the points (-1,2) and (3,3) and we need to find the slope.

The formula for slope calculated from two points is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points

since we have two points, we can substitute them into the formula, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=-1

[tex]y_{1}[/tex]=2

[tex]x_{2}[/tex]=3

[tex]y_{2}[/tex]=3

now substitute into the formula (m is the slope); remember: we have a negative number in this, so we'll be subtracting a negative.

m=[tex]\frac{3-2}{3--1}[/tex]

simplify

m=[tex]\frac{3-2}{3+1}[/tex]

m=[tex]\frac{1}{4}[/tex]

so B is your answer

Hope this helps! :)


Related Questions

A student solves for v
Which statement explains how to correct the error that was made?

The subtraction property of equality should have been applied to move m to the other side of the equation.

O The multiplication property of equality should have been applied before the division property of equality.

The division property of equality should have been applied to move the fraction to the other side of the equation.

The square root property should have been applied to both complete sides of the equation instead of to select variables.​

Answers

Answer:

D (The square root property should have been applied to both complete sides of the equation instead of to select variables)

Step-by-step explanation:

On edge 2021

1. tu no eres linda eres.
2. tu no eres buena tu eres.
3. tu no te metas en la cama tú te.​

Answers

Is this even a question?

For each sequence, find the first 4 terms and the 10th term.
a) 12-n
B 5 - 2n

Answers

Answer:

Solution given:

a.

tn=12-n

1 st term =12-1=11

2nd term =12-2=10

3rd term=12-3=9

4th term=12-4=8

10th term=12-10=2

b.

tn=5-2n

1st term=5-2*1=3

2nd term=5-2*2=1

3rd term=5-2*3=-1

4th term=5-2*4=-3

10th term=5-2*10=-15

(a) Solution

T(n) = 12 - n

T(1) = 12 - 1 = 11

T(2) = 12 - 2 = 10

T(3) = 12 - 3 = 9

T(4) = 12 - 4 = 8

T(10) = 12 - 10 = 2

(b) Solution

T(n) = 5 - 2n

T(1) = 5 - 2 = 3

T(2) = 5 - 4 = 1

T(3) = 5 - 6 = -1

T(4) = 5 - 8 = -3

T(10) = 5 - 20 = -15

The average marks for 25 students in a mathematics was was 48.




what was the total marks scored by the students?​

Answers

Answer:

total of the data points = 1200

Step-by-step explanation:

The 'average' of a data set is the total of the data points divided by the number of data points.

Here:

total of the data points

---------------------------------- = 48

                 25

Multiplying both sides of this equation by 25 yields:

total of the data points = 1200

A Driver’s Ed program is curious if the time of year has an impact on number of car accidents in the U.S. They assumethat weather may have a significant impact on the ability of drivers to control their vehicles. They take a randomsample of 150 car accidents and record the season each occurred in. They found that 27 occurred in the Spring, 39 inthe Summer, 31 in the Fall, and 53 in the Winter.

Required:
Can it be concluded at the 0.05 level of significance that caraccidents are not equally distributed throughout the year?

Answers

Answer:

p-value = 0.0145

Hence, Since p-value ( 0.0145 ) is less than significance level ( 0.05 )

we reject null hypothesis.

Therefore, there is sufficient evidence to conclude that Car accidents are NOT equally distributed throughout the year

Step-by-step explanation:

Given the data in the question;

Hypothesis;

Null hypothesis             : H₀ : Car accidents are equally distributed throughout the year

Alternative hypothesis : Hₐ : Car accidents are NOT equally distributed throughout the year

significance level ∝ = 0.05

x ;

Spring = 27

Summer = 39

Fall = 31

Winter = 53

Test Statistics;

Chi Square = ∑[ (O – E)²/E ]

                         O               E                   (O – E)²/E

Spring               27            37.4                2.94

Summer            39            37.4                0.06

Fall                    31             37.4                1.1267

Winter               53            37.4                6.4067

Total                 150           150                 10.5334

so; z = ∑[ (O – E)²/E ] = 10.5334

{from table}

p-value = 0.0145

Hence, Since p-value ( 0.0145 ) is less than significance level ( 0.05 )

we reject null hypothesis.

Therefore, there is sufficient evidence to conclude that Car accidents are NOT equally distributed throughout the year

In this exercise we have to use probability knowledge to calculate the distribution during the year, so we find that:

There is sufficient evidence to conclude that car accidents are not equally distributed throughout the year.

Given the data in the question;

[tex]Null \ hypothesis: H_0[/tex][tex]Alternative \ hypothesis : H_a[/tex]  [tex]Significance\ level = 0.05[/tex]

Now the values ​​given in the statement can be exemplified below as:

[tex]Spring = 27[/tex][tex]Summer = 39[/tex][tex]Fall = 31[/tex][tex]Winter = 53[/tex]

In this way, we can assemble a table of values ​​with the statistical data previously informed and using the formula given below:

[tex]Z=\sum[\frac{(O-E)^2}{E}][/tex]

[tex]Z = 10.5334[/tex]

So:

[tex]\ \ \ \ \ \ \ \ \ \ \ O \ \ \ \ \ E \ \ \ \ (O - E)^2/E\\Spring \ \ 27 \ \ 37.4 \ \ \ \ 2.94\\Summer \ 39 \ 37.4 \ \ \ \ 0.06\\Fall \ \ \ \ \ \ 31 \ 37.4 \ \ \ \ 1.1267\\Winter \ \ \ 53 \ 37.4 \ \ \ 6.4067\\Total \ 150 150 \ 10.5334[/tex]

Hence, Since pvalue ( 0.0145 ) is less than significance level ( 0.05 ), so we reject null hypothesis.

See more about probability at brainly.com/question/795909

help please. I cant figure it out and it’s hard.

Answers

Answer:

The student is comparing the different heart rates due to the temperature. The independent variable is the Temperature and the dependent variable is the beats of the heart from the larva.

what is the system of equations shown in the graph?

Answers

Answer:

bugo.ka pag answer bobo ka bah ha wag kanang umasa dito piste ka

Bro i dont know what the x is tbh

Answers

The X means go find a life

What is the range of the given function?

Answers

Answer:

-2

Step-by-step explanation:

range is y values

Answer:

-2

Step-by-step explanation:

That's the minimum range, which is basically the lowest point on the y-axis that the line touches

Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.

Which equation can be used to find m, the midpoint of the two numbers?

(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99

Answers

Answer:

[tex]m {}^{2} - 100 = - 99[/tex]

Step-by-step explanation:

Set up the binomial.

[tex](m - 10)[/tex]

[tex](m + 10)[/tex]

Multiply the binomial.

[tex](m - 10)(m + 10) = - 99[/tex]

Apply difference of squares rule

[tex](p + q)(p - q) = p {}^{2} - q {}^{2} [/tex]

[tex]m {}^{2} - 100 = - 99[/tex]

Answer: m^2-100=-99

Step-by-step explanation:

Set up the binomial.

(m-10)

(m+10)

Multiply the binomial.

(m-10)(m+10)=-99

Apply difference of squares rule

(p+q)(p-q) = p2-q2

Answer: m^2-100=-99

the angle in a semi circle is?​

Answers

Acute angle are in semi circles

Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 5 years. Do not round any intermediate computations, and round your answer to the nearest cent. ​

Answers

Answer:

Step-by-step explanation:

A = P(1+r/n)^ nt

A = 2000(1+.04/2)^(5*2)

A = [tex]2000(1.02)^{10}[/tex] = $2437.99

36 apples cost $6. How many apples can you buy for $1?

Answers

Well if 36 apples cost 6 dollars, we need to divide 36 by 6 to find the cost for each apple. 36/6 is 6! We can buy 6 apples for a dollar

Answer: you can buy 6apples for$1

Step-by-step explanation: you divide 36 by 6 and get 6 so it’s 6apples.

Study the adjoining figure and then explain why x = y

Answers

Answer:

Step-by-step explanation:

y is the remote exterior angle. The remote exterior angle has the strange property that it is equal to the two remote interior angle. The two remote interior angles are the two, neither of which is the supplement of the exterior angle

So y = x/2 + x/2 which are marked as being opposite equal angles.

1/2 x + 1/2 x = x

y by substitution is = x /2 + x/2

y = x

PLSSSSSSS HELP ASAP !!! PLSSS

Answers

Answer:wpeleoe

Step-by-step explanation:

PLEASE HELPPPPPPPP MEEE PLEASE!

Answers

Answer:

Root         Multiplicity

 -4                    2

 -1                     2

  2                     1

   5                    3

---------------------------

y = a(x + 4)²(x + 1)²(x - 2)(x - 5)³

find "a" using point (0, 20000)

20000 = a(0 + 4)²(0 + 1)² (0 - 2)(0 - 5)³

20000 = a(16)(1)(-2)(-125)

20000 = a (4000)

a = 20000/4000

a = 5

y = 5(x + 4)²(x + 1)²(x - 2)(x - 5)³

What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 17 centimeters, and a length of 11 centimeters?

Answers

Answer:

3179cm^3

Step-by-step explanation:

[tex]volum = height × width × length \\ = 17cm \times 17cm \times 11cm \\ = {3179cm}^{3} [/tex]

Find the value of x.

A.6 B.5 C. 50/3 D.7

Answers

Hehe hehe hehe hehe hehe hehe hehe hehe hehe heh Greg Greg heh the answer is D

The value of x is 7.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The two triangles PQR and P'Q'R' are similar triangles

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Firstly let us find the P'Q' by using pythagoras theorem

R'Q'²=PR'²+P'Q'²

12²=10²+P'Q'²

144-100=P'Q'²

44=P'Q'²

P'Q'=6.6

The value of PR is x

The value of x is 7. as R it is a midpoint of P'Q'R'

Hence the value of x is 7

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

In a marketing survey, a random sample of 1020 supermarket shoppers revealed that 268 always stock up on an item when they find that item at a real bargain price.

a. Find a 95% confidence interval for p?
b. What is the margin of error based on a 95% confidence interval?

Answers

Answer:

a) 95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.

b) Margin of error  = 0.0270.

Step-by-step explanation:

a)

[tex]\hat{p}[/tex] = point estimate of p [tex]= 268/1020 =0.2627[/tex]

[tex]\hat{q}= 1 - 0.2627 = 0.7373[/tex]

[tex]SE = \sqrt{\hat{p}\hat{q}/n}\\\\=\sqrt{0.2627\times 0.7373/1020}=0.0138\\\alpha = 0.05[/tex]

From Table, critical values of [tex]Z= \pm1.96[/tex] ,

Lower limit

                  [tex]= \hat{p} - Z SE\\ = 0.2627 - (1.96 X 0.0138) \\ = 0.2627 - 0.0276 \\ = 0.236[/tex]

upper limit = 0.2627 + 0.0276

                 = 0.2903

Correct option:

95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.

b) Margin of error =Z SE

                              = 1.96 X 0.0141

                              = 0.0270.

A (non-zero) number multiplied by zero equals zero, whereas a non-zero number divided by zero is undefined.

a. True
b. False

Answers

I believe that is true

No links please :) Love you guys stay safe 3

Answers

Answer:

C

Step-by-step explanation:

I've completed the test before. :)

Find the volume V and surface area S of a
rectangular box with length 2 meters, width 6 meters,
and height 9 meters.

Answers

Answer:

Surface area add together all 6 sides = 24+36+108=168m^2

Volume L x W x D = 2 x 6 x 9 = 108 m ^3

Step-by-step explanation:

2 x 6 = 12

12 x 2 = 24 base and top

2 x 9 = 18

2 x 18 = 36 identical pair sides

6 x 9 = 54

2 x 54 = 108 identical pair sides

Surface area add together all 6 sides = 24+36+108=168m^2

Volume L x W x D = 2 x 6 x 9 = 108 m ^3

The person above me is correct!
Just keep in mind these formulas:

Volume of rectangular prism:
Length • width • height

Surface Area of a rectangular prism:
2 (lw + hl + hw)
Where l is height, w is width, and and h is height.

Hope this absolutely helps! Have a nice day

please help with the steps​

Answers

Answer:

2821.51

73425.64

28124.24

4124.24

Step-by-step explanation:

Effective rate: .058/2 = .029

This question is kind of ambigous and I'll make the assumption that there is no payment at time 0

[tex]175000=x\frac{(1+.029)^{2*18}-1}{.029}\\x=2821.511[/tex]

interested earned:

175000-2821.51*36= 73425.64

2.)

Same assumption as question 1 (there is no payment at time 0)

effective rate: .063/12= .00525

[tex]400(\frac{(1+.00525)^{60}-1}{.00525})=28124.24[/tex]

Interest earned: 28124-400*60=4124.24

Answer:

First problem: monthly payment $2741.99; interest earned $76,288.36

Second problem: amount in account $28,271.90; interest earned $4271.90

Step-by-step explanation:

First problem:

You open an account with a deposit. The deposit is the first monthly payment. This means that this is an annuity in which you pay at the beginning of the pay period. That makes it into an "annuity due."

[tex] A = \dfrac{F}{\frac{(1 + i)^n - 1}{i} \times (1 + i)} [/tex]

where A = periodic payment,

F = future value

i = interest rate per compounding period, n = number of compounding periods

[tex]A = \dfrac{175000}{\frac{(1 + \frac{0.058}{2})^{2 \times 18} - 1}{\frac{0.058}{2}} \times (1 + \frac{0.058}{2})}[/tex]

[tex] A = 2741.99 [/tex]

Interest earned:

[tex] 2 \times 18 \times 2741.99 - 175000 = 76288.36 [/tex]

Second problem:

Once again, the account starts with a deposit of the monthly payment, so this is also an annuity due, meaning the payments occur at the beginning of each compounding period. Here, we are given the monthly payment, an d we need to find the future value.

[tex] F = A \times \dfrac{(1 + i)^n - 1}{i} \times (1 + i)} [/tex]

[tex] F = 400 \times \dfrac{(1 + \frac{0.063}{12})^{5 \times 12} - 1}{\frac{0.063}{12}} \times (1 + \frac{0.063}{12})} [/tex]

[tex] F = 28271.90 [/tex]

The interest earned is:

[tex] 28271.90 - 12 \times 5 \times 400 = 4271.90 [/tex]

Find the measure of theta to the nearest tenth helpppp pleaseeee

Answers

Answer:

54.3°

Step-by-step explanation:

sinθ=opposite/hypotenuse

sinθ=26/32

sinθ=0.8125

θ=54.3°

I need help with #1 . Please help. I have to show all work so please explain

Answers

Answer:C=10

Step-by-step explanation:

Follow along with the picture below

The formula for this type of problem is a^2+b^2=c^2

We know that 6=a and 8=b so we fill in the formula and square them

we then add the two values we got which get us to 100=c^2

we want to get rid of that square with we square root bothe sides and get c and the square root of 100 is 10.

So C=10

What is the equation, written in vertex form, of a parabola with a vertex of (–2, 6) that passes through (1, –3)?

Answers

Answer:

Step-by-step explanation:

( x - 1 )2 + ( y + 3 )2 = 90

3/7-2/14+1/21
What is the answer to this

Answers

Answer:

1/3

Step-by-step explanation:

Hope this is useful even though there isn't any working

1/3

We’ll first reduce the second of the fractions and get a common denominator for the first 2 of 7. Then we’ll finish with the common denominator of 21:

3/7 - 2/14 + 1/21
= 3/7 - 1/7 + 1/21
= 2/7 + 1/21
Multiply the first fraction by 3/3
= 6/21 + 1/21
= 7/21
Reduce to 1/3

help me please thanks

Answers

Answer:

option 3

Step-by-step explanation:

ORIGINAL                REFLECTED

A = ( 2, 0)                    A' = (-2, 0)

B = (5 , 0)                    B' = (-5, 0)

C = (5, -2)                    C' = (-5, -2)

D = (2, -2)                    D' = (-2, -2)

Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by Suppose that , , , , , and . What is the probability that the individual likes both vehicle

Answers

Answer:

[tex]P(A_1\ n\ A_2) = 0.40[/tex]

Step-by-step explanation:

Let:

[tex]A_1 \to[/tex] An Individual likes vehicle 1

[tex]A_2 \to[/tex] An Individual like vehicle 2

[tex]P(A_1) = 0.55[/tex]

[tex]P(A_2) = 0.65[/tex]

[tex]P (A_1\ u\ A_2 ) = 0.80[/tex]

Required

[tex]P(A_1\ n\ A_2)[/tex] --- probability that both vehicles are liked by the individual.

This is calculated as:

[tex]P(A_1\ n\ A_2) = P(A_1) + P(A_2) - P(A_1\ u\ A_2)[/tex]

So, we have:

[tex]P(A_1\ n\ A_2) = 0.55 + 0.65 - 0.80[/tex]

[tex]P(A_1\ n\ A_2) = 0.40[/tex]

Find the radius of the circle,

Answers

Answer:

the correct answer is option D. 7

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