1. A line passes through (1, -5) and (-3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
А
16
y-5=
1
(x + 1); y ==x+
3
3
3
B y- 5= 3(x + 1); y = 3x + 8
C y + 5 = -3(x - 1); y = -3x - 2
D
8
y-1 =
1 = $(x + 5): y = x+
3

Answer:

Step-by-step explanation:

x=27.8

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]

Add the fractions:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]

Therefore, the fractions sum up to 29/28.

Answer:

1/4 + 2/7 + 1/2

Find a number that 4,7, and 2 have in common

List the multiples o 4,7, and 2

4,8,12,15,20,24,28,32,36,40

7,14,21,28,35,42,49,56,63,70

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40

4,7,and 2 all have 28 so 28 is the common denominator

1/4 = 1/4 x 7/7 = 7/28

you can multiply because 7/7 = 1 so you are just multiplying by 1

2/7 x 4/4 = 8/28

1/2 x 14/14= 14/28

7/28 + 8/28 + 14/28 = 29/28 or 1 1/28

Hope this helps

Step-by-step explanation:

Answer:

4.71

Step-by-step explanation:

3* pi = 9.42

9.42/2 = 4.71

Answer:

Given that,

Sample size,

n

=

4369

Sample proportion,

^

p

=

185

4369

=

0.0423

a)

The sample proportion is a point estimate of the population proportion.

^

p

=

0.0423

b)

The margin of error is defined as:

M

E

=

Z

0.10

/

2

×

√

^

p

(

1

−

^

p

)

n

Excel function for the confidence coefficient:

=NORMINV(0.10/2,0,1)

M

E

=

1.645

×

√

0.0423

(

1

−

0.0423

)

4369

M

E

=

0.005

c)

The 90% confidence interval for the population proportion is defined as:

^

p

±

z

0.10

/

2

√

^

p

(

1

−

^

p

)

n

0.0423

±

1.645

√

0.0423

(

1

−

0.0423

)

4369

(

0.0373

,

0.0473

)

Answer:

-2 2/5

Step-by-step explanation:

Barbara's method:

[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*\frac{-24}{5}=\frac{-12}{5}=-2\frac{2}{5}\\[/tex]

Christopher's method:

[tex]\frac{1}{2}*-4\frac{4}{5}=\frac{1}{2}*(-4+\frac{-4}{5})=\frac{1}{2}*-4+\frac{1}{2}*\frac{-4}{5}=-2+\frac{-2}{5}=-2\frac{2}{5}\\[/tex]

Answer: 10 for each side but in total is 20

Step-by-step explanation: u multiply 5 x 4 = 20 divided by 2 to get 10 meters and another is 4 divided by 2 is 2 x 5 is 10 meters times 2 is 20 total

Answer:

shown above

move active check

Answer:

5

Step-by-step explanation:

to find the mean you add the numbers together, and divide by the number of numbers you're using. So, we'd do 2+8, which is 10, and then 10/2, which is 5.

Answer:

5

ADD . NUMBERS TOGETHER

DIVIDE BY TWO

SO IN THIS CASE

8+2=10

10/2=5

Step-by-step explanation:

HOPE I HELPED!!!

CAN I GET BRAINLIEST ?(DESPERATELY  TRYING TO LEVEL UP)

           -ZYLYNN JADE

Answer:

[tex]Total = 2.00mL[/tex]

Step-by-step explanation:

Given

Solution: NaCl

Flask 1: 0.25mL of NaCl

Flask 2: 1.75mL of Nacl

Required

Calculate the total amount of the solution

The total amount of the solution is calculated by adding the size of the contents in both flasks

i,e,

[tex]Total = Flask\ 1 + Flask\ 2[/tex]

[tex]Total = 0.25mL + 1.75mL[/tex]

[tex]Total = 2.00mL[/tex]

Answer:

yep it is 2.00

Step-by-step explanation:

Answer:

? = 35.

Step-by-step explanation:

According to the diagram...

? / 42 = 30 / (66 - 30)

? / 42 = 30 / 36

? / 42 = 5 / 6

6 * ? = 42 * 5

? = 7 *  5

? = 35

Hope this helps!

Answer:  35

Step-by-step explanation:

Set up the proportion as follows:

[tex]\dfrac{66}{30}=\dfrac{42+x}{x}\\\\\\66x=30(42+x)\\\\\\66x=1260+30x\\\\\\36x=1260\\\\\\x=\dfrac{1260}{36}\\\\\\x=\large\boxed{35}[/tex]

Answer:

150 paperclips

Step-by-step explanation:

set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips

cross multiply so you get 16x = 2400

solve for x by dividing 2400 by 16

you should get x = 150

Answer:

Bill and Ted are going to order t-shirts for there school clubs. The t-shirts will have the club logo printed on the front. Bill and Ted ask two local t-shirt companies to give them a price. * Patty's Printing charges $21.50 for each t-shirt. * Sandra's shirts has a one-time set up fee for $63 and then charges $18 for each t-sh

Step-by-step explanation:

Part 2: Table Chart:

Number of t-shirts: 2

Patty's cost: 43$

Sandra's cost: : 99$

Number of t-shirts: 4

Patty's cost: 86$

Sandra's cost: : 135$

Number of t-shirts: 6

Patty's cost: 129$

Sandra's cost: : 171$

Number of t-shirts: 8

Patty's cost: 172$

Sandra's cost: : 207$

Number of t-shirts: 10

Patty's cost: 215$

Sandra's cost: : 243$

Number of t-shirts: 12

Patty's cost: 258$

Sandra's cost: : 279$

Number of t-shirts: 14

Patty's cost: 301$

Sandra's cost: : 315$

Number of t-shirts: 16

Patty's cost: 344$

Sandra's cost: : 351$

Number of t-shirts: 18

Patty's cost: 387$

Sandra's cost: : 387$

Part 3: Patty's Printing

Linear equation = equation of a line= y=mx+b

y=21.5x

Part 4: Sandra's Shirts:

Linear equation = equation of a line= y=mx+b

y= 18x+63

Part 5: Note to Jackie

Dear Jackie, I recommend Sandra's shirts.

Write equations:

Sandra's Shirts = 18x+63

Patty's Printing = 21.5x

Sandra's Shirts: 495=18x+63 = 24 shirts

Patty's Printing: 495=21.5x = 23 shirts

Part 6: Refute Jackie

Sandra's Shirts is more expensive at the beginning, but as you buy more shirts (greater than 18), Patty's Printing becomes cheaper.

You should probably add to this, but I can't think of anything else.

Part 7: Equality

At 18 shirts (see table), the shirt cost is equal.

You should probably add to this, but I can't think of anything else.

18x+63=21.5x

Words of encouragement:

Good luck!

Answer:

When making connections using compare and contrast, you should look for hidden similarities and differences. Compare/contrast aims to show all the necessary information or details that makes a topic or an object similar of different. Therefore, you should not only state the obvious, but also cite.

Answer:

Orange graph: -2

Blue graph: -2 or 2

Just did it on edge

Answer:

I think it's 12

Step-by-step explanation:

i just multiplied 60 by 20%

Answer:

Distance of midpoints of the segments AB and CD is 24 cm.

Step-by-step explanation:

Given that

AD = 36 cm

Points C and B are in segment AB.

The ratio of distance AB:BC:CD = 2:3:4

To find:

Distance of midpoints of the segments AB and CD  ?

Solution:

The ratio of distance AB:BC:CD =2:3:4

Let AB = [tex]2x[/tex]

Let BC = [tex]3x[/tex]

Let CD = [tex]4x[/tex]

Now, it is clear that AD = AB + BC + CD

[tex]\Rightarrow 36=2x+3x+4x\\\Rightarrow 36=9x\\\Rightarrow x = 4\ cm[/tex]

Putting the value of x to find AB, BC and CD:

AB = [tex]2\times 4 = 8\ cm[/tex]

BC = [tex]3\times 4 = 12\ cm[/tex]

CD = [tex]4 \times 4 = 16\ cm[/tex]

Now, mid point of AB will be [tex]\frac{8}2 = 4\ cm[/tex] on the right side of point A.

And

mid point of CD will be [tex]\frac{16}2 = 8\ cm[/tex] on the left side of point D.

[tex]\therefore[/tex] If we subtract 4 and 8 from AD we will get distance between mid points of segments AB and CD.

So, Distance of midpoints of the segments AB and CD = 36 - 4 -8 = 24 cm.

Distance of midpoints of the segments AB and CD is 24 cm.

A rectangle has 4 sides. Two of the sides have the same length, and the other two sides have the same length. Therefore, two sides are x+4 and the other two are equal to x.

Your equation will be (x+4)+(x+4)+x+x=48

When you solve for x, you get 10.

Since your length is x+4, you will do 4+10 which is 14 as your final answer

FINAL ANSWER: 14''

Please let me know if this helped you!!

Answer:. Width=10 Length = 14

Step-by-step explanation:

2w + 2(w+4) = 48

2w +2w + 8 = 48

4w = 48-8

4w = 40

W=10. L= 14

10+10+14+14 = 48

Step-by-step explanation:

If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.

If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.

If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.

If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.

Hope this helps!

Answer:

If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets

Step-by-step explanation:

Answer:

The number of people standing in the original line is 22 people

Step-by-step explanation:

The information given are;

The number of baguettes that was shared by the people on the line = 85

The number of baguettes each person received = 1 each

Therefore;

The number of people that were finally on the line = 85

Let the number of people in the original line = X

Then each space between two people in X was filled by 1 new person of the first set of people who joined the line

Therefore;

The number of the first set of people who joined the line = The number of spaces between two count of people in X

Which gives;

The number of people who joined the line = X - 1

The new total number of people on the line = X + X - 1 = 2·X - 1

As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line

Therefore, the number of people in the second set = Number of people waiting - 1

Which gives;

The number of people in the second set = 2·X - 1 - 1 = 2·X - 2

The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3

The 85 baguettes is then able to go round (each) among the total number of people on the line

Therefore;

The total number of people on the line = The number of baguettes sheared

4·X - 3 = 85

4·X = 85 + 3 = 88

X = 88/4 = 22

Therefore;

The number of people standing in the original line = 22.

Answer:

1

Step-by-step explanation:

The n th term of cube numbers is calculated as

[tex]a_{n}[/tex] = n³

To find the first term let n = 1, that is

a₁ = 1³ = 1

Answer:

1.

Step-by-step explanation:

1 is the first term in the square numbers, as it is in the sequence of cube numbers.

1^3 = 1 * 1 * 1 = 1.

Hope this helps!

Answer:

If we add the Replaced, the Left, that would be 28 LB, 14 boxes.

Answer:

at most or at least

Step-by-step explanation:

Step-by-step explanation:

you can split triangle in two 90-:80 triangles

Answer:

The answer is 1

Step-by-step explanation:

You can try out all the numbers one by one but I'll just show you why 1 works.

First you need to replace x with 1:

-1+8>6

-1+8=7

7 is greater than 6 so 1 is the answer.

I hoped that helped!

(Brainliest???)

:)

Step-by-step explanation:

|-x|<1 --> -1<-x<1 --> -1<x<1

so the graph is the striped part

Answer:

Option D

Step-by-step explanation:

A. [tex]\sqrt{15}[/tex] = 3.87298

B. 11/25 = 0.44

C. 3/20 = 1.25

D. 2/6 = 0.333........

So, D had a repeating decimal form because it repeats the number 3.

Answer:

Step-by-step explanation:

D:  2/6.  Note that 2/6 = 1/3 = 0.3333333....  (repeating decimal form)

Answer:

The answer is 3.5

Step-by-step explanation:

Answer:

0.2 < x < 11.8

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.

I hope I could be of help! Please give brainliest!

Answer:

Option D is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( 7 , 35 ) -----> ( x1 , y1 )

B ( 7 , 21 ) -------> ( x2 , y2 )

Now, finding the distance between these two points:

[tex] \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } [/tex]

Plug the values

[tex] = \sqrt{(7 - 7) ^{2} + {(21 - 35)}^{2} } [/tex]

[tex] = \sqrt{ {0}^{2} + {( - 14)}^{2} } [/tex]

0 raised to any positive power equals 0

[tex] = \sqrt{0 + {( - 14)}^{2} } [/tex]

When adding or subtracting 0, the quantity doesn't change

[tex] = \sqrt{ {( - 14)}^{2} } [/tex]

Reduce the index of the radical and exponent with 2

[tex] = 14 \: units[/tex]

Hope this helps...

Best regards!

~ a music lover

Answer:

need thiss

Step-by-step explanation:

Answer:b because if there is 4 more sheep than cows just subtract 4 and you get the number of cows

Step-by-step explanation: