Find the equation of the line that passes through points A and B.

Find The Equation Of The Line That Passes Through Points A And B.

Answers

Answer 1

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (1,7)

[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]7=2(1)+b\\7=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]7-2=2+b-2\\5=b[/tex]

Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x+5[/tex]

I hope this helps!


Related Questions

5th grade math. correct answer will be marked brainliest

Answers

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

Select the correct answer.
What is the approximate value of the correlation coefficient for the given graph



Answers

Answer:

x = -5

Step-by-step explanation:

the answer is -5 sussy baka

Answer:  D)  -1

This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.

Side note: The r value and slope are both negative, but they aren't equal to one another.

Help me out plsssssss

Answers

120 the answer is 120

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

BE is a midsegment, Find the value of x. Please

Answers

Answer:

x10

Step-by-step explanation:

BE=1/2 * CD

x=CB/2

x=20/2

x=10

What is (f⋅g)(x) ?



f(x)=x2−2x

g(x)=4x+1


Enter your answer in the box.

(f⋅g)(x)=

Answers

Answer:

[tex](f-g)(x) =x^2 -6x -1[/tex]

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

[tex]f(x) - g(x) = (x^2 - 2x) - (4x + 1)[/tex]

                [tex]= x^2 -2x -4x -1\\=x^2 -6x -1[/tex]

please help now
Your pump empties the water from a swimming pool in 4 hours. When your friend's pump is used together with your pump, the pool is emptied in 48 minutes. How long (in hours) does it take your friend's pump to empty the pool when working alone?

Answers

Answer:

Time taken for pump B to empty pool = 1 hour.

Step-by-step explanation:

Given:

Time taken for pump A to empty pool = 4 hour

Time taken together = 48 minutes = 48 / 60 = 4/5 hour

Find:

Time taken for pump B to empty pool

Computation:

Assume;

Time taken for pump B to empty pool = a

1/4 + 1/a = 1 / (4/5)

1/4 + 1/a = 5/4

1/a = 5/4 - 1/4

1/a = (5 - 1) / 4

1/a = 1

a = 1

Time taken for pump B to empty pool = 1 hour.

el que me responda rápido le doy coronita cuanto es 99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99

Answers

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Answer:

Answer:

990

Step-by-step explanation:

99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990

Step-by-step explanation:

If x=6 find the value of x
-
2

Answers

Answer:

[tex]36[/tex]

Step-by-step explanation:

[tex] {x}^{2} [/tex]

[tex] = {6}^{2} [/tex]

[tex]= (6 \times 6)[/tex]

[tex]= 36[/tex]

Hope it is helpful...

Answer:

x/2=3

Step-by-step explanation:

x=6

x/2=?

6/2=3

Therefore,x=3.

I need the answer to the question

Answers

The answer is A

One revolution is equal to the circumference of the tire:

C=2pi r=2(1)(frac{22}{7})=\frac{44}{7}

The car travels at 4,400 ft per minute. To calculate the number of revolutions, divide the speed by the circumference:

4,400div frac{44}{7}=4,400times frac{7}{44}=700

700 revolutions.

COMPARE METALS TO NONMETAL WHICH STATMEMENT IS TURE
A,BOTH METALS AND NONMETALS ARE SHINY
B,BOTH METALS AND NONMETALS CONDUCT HEAT AND ELECTRICITY
C,NONMETALS CONDUCT HEAT AND ELECTRICITY BUT METALS DO NOT
D,METALS HAVA A SHINY LUSTER BUT NONMETALS DO NOT ​

Answers

Answer:

OPTION D IS THE ONLY LEGIT OPTION.

Metals have a shiny Lustre but Non metals do Not!

Answer:

D

Step-by-step explanation:

A: false. Some of the non-metals are gasses. They can hardly be classified as shinny.

Some of the metals, though solid, are not exactly shinny either.

B: Most metals conduct heat and electricity to some degree. Non metals don't.

C: The exact opposite is true.

D: I think this is the expected answer.

The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?

Answers

Answer:

24 months

Step-by-step explanation:

Given :

Mean = 48

Standard deviation = 8

Zscore = - 3

Using the relation :

Zscore = (x - mean) / standard deviation

Where, x = score

-3 = (x - 48) / 8

-3 * 8 = x - 48

-24 = x - 48

-24 + 48 = x

24 = x

Score = 24

Xavier drew 10 cards at random from a deck of numbered cards. The deck is composed of 3 sets of cards numbered 1 through 10 and three cards numbered 50. He recorded the numbers he drew: find the mean, meadian and mode of the data.​

Answers

Answer:

Mean - 9 mode - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 50 median- 6

Step-by-step explanation:

Huilan is 11 years older than Thomas. The sum of their ages is 67 . What is Thomas's age?

Answers

Answer:

Thomas is 28.

Step-by-step explanation:

Let Huilan’s age be “x + 11”

Let Thomas’s age be “x”

x + x + 11 = 67

2x + 11 = 67

2x = 56

x = 28 years

x + 11 = 39 years

Thomas is 28.

simplify my 5 multiply 6 - 60​

Answers

Answer:

- 30 is the answer

Step-by-step explanation:

5 multiply 6 - 60​

5 × 6 - 60

= 30 - 60

= - 30

1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?

Answers

Answer:

220.5 in³

Step-by-step explanation:

Volume = L×W×H

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

Answer:

220.5CM ^3

Step-by-step explanation:

vOLUME = L*W*H

= 10.5*7*3

=220.5

GEOMETRY PROOFS:

Type your answer in the following format.

Statement 2:
Reason 3:
Statement 4:
Reason 5:
Reason 6:

Answers

Answer:

Statement 2: ∠BAC = ∠CZY

Reason 3: Vertically opposite angles

Statement 4: YC = CB

Reason 5: AAS (Angle, Angle, Side)

Reason 6: Corresponding sides, congruent triangles

TERCER TRIMESTRE SEGUNDO GRADO
DEL 7 DE JUNIO AL 18 DE JUNIO
4- Calcular la media, la mediana y la moda de la siguiente serie de numeros: 5, 3, 6, 5, 4, 5, 2, 8, 6,5,4,8,3,4,5,4,8,2
5.4.

Answers

Answer:

MEDIA: 4.8

MEDIANA: 5

MODA: 5

espero que te ayude :)

Party trays which cost $14.00 to make not including labor are sold for $35.00 if two people work 8 hour shifts making the trays at $7.00 per hour how many trays must be sold to cover all costs including labor?

Answers

Party trays, which cost $14.00 to make not including labor, are sold for $35.00. If two people work 8-hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all costs including labor? Answer: 5.33 trays must be sold to cover all costs including labor..

Hey, everyone. This is from canvas, the picture I included was my grade. I believe this is called Box and Whiskers, I'm not sure as it's been a while since I have done math.I just want to confirm that the end of the box is the 75th percentile.

Answers

Answer:

Yes

Step-by-step explanation:

This is called Box and Whiskers or box plot.

The box in the middle contains 50% of data and the right end of the box is 75th percentile, you are correct.

25% of data is distributed to the left and 25% of data to the right of the box that is in the middle.

What is the probability that out of 250 babies born, 110 or fewer will be boys?
Aaaume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent,
A. 3.3%
B. 75.7%
C. 28.5%
O D. 97.5%

Answers

Answer:

A. 3.3%

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

250 babies, boys and girls equally as likely:

This means that [tex]n = 250, p = 0.5[/tex].

Mean and standard deviation:

[tex]\mu = E(X) = np = 250*0.5 = 125[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.5*0.5}[/tex]

Probability that out of 250 babies born, 110 or fewer will be boys?

Using continuity correction, this is P(X < 110 + 0.5) = P(X < 110.5), which is the p-value of Z when X = 110.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110.5 - 125}{\sqrt{250*0.5*0.5}}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.033

0.033*100% = 3.3%, so option A.

Simplify the expression using the order of operations. 3(7 + 4) – 8.2

Answers

[tex]3(7 + 4) - 8.2 \\ 3 \times 11 - 8.2 \\ 33 - 8.2 \\ \\ = 24.8[/tex]

Step By Step Explanation:

Calculate: Add the numbersMultiply: Multiply the numbersCalculate: Subtract the numbers

Alternate Forms:

124/5 24 4/5

☆彡Hanna

Answer:

[tex]3(7 + 4)-8.2[/tex]

[tex]3*11-8.2[/tex]

[tex]33-8.2[/tex]

[tex]24.8[/tex]

--------------------------hope it helps...have a great day!!

Find the slope of a line perpendicular to the line 3x – 2y = 5.​

Answers

Answer:

2/3

Step-by-step explanation:

to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format

The slope intercept form of a liner equation is:

Y = mx + b

Where m is slope and b is the y - intercept value.

solving the equation in the problem for y produces :

3x - 3x + 2y = -3x - 5

0 + 2y = 3x - 5

2y = - 3x - 5

2y = -3x - 5

2 2

y = - 3 x - 5

2. 2

Therefore the slope of this line is m = - 3

2

the slope of perpendicular line is the negative inverse of the slope of the line we are given,or

- 1

m

so for our problem the slope of a perpendicular line is - - 2 = 2

3. 3

The slope of this equation is 3/2 once you rearrange it into slope intercept form: y=3/2x-5/2

The slope of a line perpendicular to this equation is just opposite sign-reciprocal of the Original slope: 3/2

Change the sign to -3/2 and flip it to get -2/3

The answer is -2/3 is the slope of a line perpendicular to the equation 3x - 2y = 5

Hope this helps.

Two numbers differ by 18. If 2/7 of the larger is 6 more than 1/4 of the smaller, find the two numbers

Answers

Answer:

Step-by-step explanation:

1) x-y=18

2) 2x/7-y/4=6

from 1) x=18+y      substituting in 2)

2(18+y)/7-y/4=6

36/7+y(2/7-1/4)=6

y=(6-36/7)/(2/7-1/4)

y=(6/7)/(1/28)

y=24

x=18+y=18+24

x=42

Use the Side, Side, Side Rule (SSS) to prove that the triangles in each pair are congruent. Draw hash marks to show the congruent sides. Then write a congruence statement for each pair of triangles

Answers

Answer:

(1) ΔMAN ≅ ΔBOY

(2) ΔMAT ≅ ΔRUG

(3) ΔEBN ≅ ΔUHR

(4) ΔTOP ≅ ΔLID

(5) ΔCAT ≅ ΔDOG

(6) ΔITP ≅ ΔLOH

Step-by-step explanation:

The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.

The combinations are:

(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.

(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.

(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.

(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.

Part (1):

As we are given two triangles.

Side AM = Side OB

Side MN = Side BY

Side AN = Side OY

That means,

ΔMAN ≅ ΔBOY

Part (2):

As we are given two triangles.

Side MA = Side RU

Side MT = Side RG

Side AT = Side UG

That means,

ΔMAT ≅ ΔRUG

Part (3):

As we are given two triangles.

Side EB = Side UH

Side BN = Side HR

Side NE = Side RU

That means,

ΔEBN ≅ ΔUHR

Part (4):

As we are given two triangles.

Side OT = Side IL

Side OP = Side ID

Side PT = Side DL

That means,

ΔTOP ≅ ΔLID

Part (5):

As we are given two triangles.

Side AC = Side OD

Side AT = Side OG

Side TC = Side GD

That means,

ΔCAT ≅ ΔDOG

Part (6):

As we are given two triangles.

Side TP = Side OH

Side IT = Side LO

Side IP = Side LH

That means,

ΔITP ≅ ΔLOH

Answer:

hehe boi

Step-by-step explanation:

Given the equation 5 + x - 12 = x- 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x -4, 0, 5 to prove your solution to the equation 5 + x - 12 F x - 7. In your final answer, include all
of your calculations.

Answers

Answer:

Step-by-step explanation:

5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)

x - 7 = x - 7        (notice its the same on both sides of equal sign. Add 7 to both                    sides)

x = x

solution is all real numbers

Part B

5 - 4 - 12 = -4 - 7

-11 = -11

5 + 0 - 12 = 0 - 7

-7 = -7

5 + 5 - 12 = 5 - 7

-2 = -2

Solve the following equation algebraically show the steps:


n/3 -5 = 5

Answers

[tex]\longrightarrow{\green{ \: n = 30 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{n}{3} - 5 = 5[/tex]

➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]

➼ [tex] \: \frac{n}{3} = 10[/tex]

➼ [tex] \: n = 10 \times 3[/tex]

➼ [tex] \: n = 30[/tex]

Therefore, the value of n is 30.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{30}{3} - 5 = 5[/tex]

✒ [tex] \: 10 - 5 = 5[/tex]

✒ [tex] \: 5 = 5[/tex]

✒ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

PLEASE HELP !! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!

Answers

Answer: 2

Step-by-step explanation:

Sub in 2 to both equations

[tex]2^2-1=-2+5\\4-1=3\\3=3[/tex]

As you see we see that both sides result into 3 (which would be the y) meaning they both intersect when x=2 and y=3

A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?

Answers

Answer:  1/4 mile

Explanation:

A square has all four sides the same length. So the length and width are the same.

We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.

If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.

10)
X + 80
700
B) 8
A) 5
C) -10
D) 7
I

Answers

Answer:

x+80=70°(exterior alternate angles)

x=70-80

x=-10

NEED HELP DUE IN 2 MINUTESS!!!!

Answers

Answer:

17.83 in

Step-by-step explanation:

2 x 3.14

= 6.28

112 ÷ 6.28= 17.8343949

Whole number is 17.83 in

The correct answer would be 17.83in
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