What is the slope of the line that passes through the points A (–4, 3) and B (–2, –5)?

Answers

Answer 1
Slope: (y2-y1)/(x2-x1)
Plug in points
(-5-3)/(-2+4) = -8/2 = -4
The slope is -4

Related Questions

triangle ABC has veritices A(-2,3), B(0,3), and C (-1,-1). Find the coordinates of the image after a reflection over the x-axis.​

Answers

Answer:

A' = (-2, -3)

B' = (0, -3)

C' = (-1, 1)

I did this on edg

Step-by-step explanation:

Since it's a reflection over the x axis, the x coordinates will stay the same while the y coordinates will be opposite of what they are.

After reflected: A'(-2,-3), B'(0,-3), C'(-1,1)

Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet?

Answers

Answer:

Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot= 12 inches. A) 49 pieces.Oct 14, 2016

Step-by-step explanation:


Dawn purchased 6 quarts of motor oil for $14.12. What is the Unit Price per quart rounded to  
the nearest cent?

Answers

Answer:

$2.35 per quart (rounded to nearest cent)

Step-by-step explanation:

6 quarts --- $14.12

1 quart --- [tex]\frac{1}{6}[/tex] × $14.12 = $2.35 (rounded to nearest cent)

Answer ASAP will give brainliest, thanks.

Answers

The solution is (0,3)

Answer:

B

Step-by-step explanation:

4x+2y=6

6x-4y=-12

2y=6-4x

y=3-2x

6x-4(3-2x)=-12

6x-12+8x=-12

2x-12=-12

2x=0

x=0

4(0)+2y=6

2y=6

y=3

(0,3)

Helpppppppppp meeeee ASAP

Answers

option c is the answer....

The elves are loading all of the toys from Santa's workshop to the sleighs. They filled 2 small sleighs and 9 big sleighs with 241 toys. Later, they filled 14 small sleighs and 13 big sleighs with 437 toys. How many toys can fit on each type of sleigh?

Answers

Answer:

2*9=18 14*13=182 18+182=200

Step-by-step explanation:

well you multiply 2 times 9 and you get 18 and then you multiply 14 times 13 and you get 182 and then you 18+182 and that will give you 382.

Given the vectors u and v.

On a coordinate plane, vector u has origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

What is u · v?

19
59
61
160

Answers

Answer:

A. 19

Step-by-step explanation:

edge 2020

The dot product of the vector u and v is 19 if option (A) is correct.

What is a vector?

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have:

On a coordinate plane, vector u has an origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).

Vector u = <(7-0, (8-0)> = <7, 8>

Siimilarly, v = <-3, 5>

u · v = (7×(-3)) + (8×5) = -21 + 40 = 19

Thus, the dot product of the vector u and v is 19 if option (A) is correct.

Learn more about the vector here:

brainly.com/question/8607618

#SPJ2

Can someone help with these two problems ?

Answers

Answer:

1. 6 cookies  2. 5/12 of the pan is left

Step-by-step explanation:

42/2=21

21(2/3)= 14

14-8=6

6 cookies were left

1/4+1/3= 3/12+4/12=7/12

5/12 of the pan is left

Answer:

1/2x42 = 21

42-21= 21x1/3= 7

21-7= 14

14-8= 6

santa got 6 cookies

can commas be used to separate the ones, tens and hundreds

Answers

Answer: no? because the comma goes after every three numbers.

2.85 tons when rounded to the nearest hundreds

Answers

Answer:

0

Step-by-step explanation:

The answer is 2.85! The hundredths place is the 5 so you would just keep it the same! If you are rounding to the tenth then it would be 2.9 since the hundredths place is greater or equal to 5!

(-2/3)+3/4 Please help

Answers

Answer:

-17\12

Step-by-step explanation:

Help me please I’m dying

Answers

x is 90 i think because it shows you the right angle

Answer:

[tex]\boxed{x = 2+2\sqrt{6} ~~or~~x = 2 - 2 \sqrt{6} }[/tex]

.

Step-by-step explanation:

To find x, use pythagoras form

[tex]c^2 = a^2 + b^2[/tex]

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

[tex]x^2 + 8x + 16 = x^2 + x^2 + 2x + 1[/tex]

[tex]2x^2 + 2x + 1 - x^2 - 8x - 16 = 0[/tex]

[tex]x^2 - 6x - 15 = 0[/tex]

[tex]x^2 - 6x = 15[/tex]

[tex](x - 3)^2 - 9 = 15[/tex]

[tex](x - 3)^2 = 15 + 9[/tex]

[tex](x - 3)^2 = 24[/tex]

[tex]x - 2 = \pm \sqrt{24}[/tex]

[tex]x = 2 \pm 2\sqrt{6}[/tex]

.

[tex]x_1 = 2 + 2\sqrt{6}[/tex]

[tex]x_2 = 2 - 2\sqrt{6}[/tex]

.

Happy to help :)

A person saving for retirement makes an initial deposit of $1,000 to a bank account earning interest at a rate of 3% per year compounded monthly, and each month she adds an additional $200 to the account For each nonnegative integer n, let An be the amount in the account at the end of n months. Find a recurrence relation relating Ak to Ak-1. Use iteration to find an explicit formula for An.

Answers

Answer:

Step-by-step explanation:

(a)

From the given information:

Let An denote the amount in the account at the end of n month

Thus,

[tex]A_o[/tex] =1000

After the first month ends, interest = [tex]=A_o \times \dfrac{3}{100} \times \dfrac{1}{12}[/tex]

= [tex]0.0025A_o[/tex]

Additional deposit = $200

Now,

[tex]A_1 = A_o + 0.0025A_o + 200[/tex]

[tex]=1.0025A_o + 200 --- eqn(1)[/tex]

Interest after 2nd month, = [tex]A_1 \times \dfrac{3}{100} \times \dfrac{1}{2}[/tex]

Additional deposit = $200

[tex]A_2 = A_1 + 0.0025A_1 + 200[/tex]

[tex]=1.0025A_1 + 200 --- eqn(2)[/tex]

Thus:

[tex]A_n = 1.0025A_{n-1} +200[/tex]

(b)

From above;

[tex]A_1 = 1.0025A_ 0+ 200[/tex]

Thus;

[tex]A _2 = 1.0025A_ 1+ 200[/tex]

[tex]A_2 = 1.0025( 1.0025A_ 0+ 200)+ 200[/tex]

[tex]A_2 = 1.0025^2A_o +200 ( 1+1.0025)[/tex]

[tex]A _3 = 1.0025A_ 2+ 200[/tex]

[tex]A _3 = 1.0025( 1.0025^2A_o +200 ( 1+1.0025))+ 200[/tex]

[tex]A _3 = 11.0025^3A_o +200 ( 1+1.0025 + 1.0025^2)[/tex]

To continuity...

[tex]A_n = 1.0025^n A_o + 200 (1+1.0025 +1.0025^2 +...+ 1.0025^{n-1} ) ---- (3)[/tex]

Thus, we have a geometric term [tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1}[/tex]

where:

a = 1 (first term)

r = 1.0025>1 (common ratio)

Thus;

[tex]1 + 1.0025 +1.0025^2 +...+ 1.0025^{n-1} = \dfrac{a(r^n -1)}{r-1}[/tex]

[tex]= \dfrac{1(1.0025^n -1)}{1.0025-1}[/tex]

[tex]= 400(1.0025^n -1)[/tex]

From equation(3)

[tex]A_n = (1.0025^n \times 1000) + 80000(1.0025^n -1)[/tex]

[tex]A_n = 1.0025^n \times 81000-80000[/tex]

6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an
altitude of 700 feet. What is her rate of change?

Answers

Answer:

Her rate of change is 75 ft/h

Step-by-step explanation:

Rate of Change

It measures how one quantity varies with respect to another. The second variable usually is the time.

The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).

At 6 hours, she is at 700 ft. This is the point (6,700)

The rate of change is the slope between these two points or the quotient of the variations of each variable:

[tex]\displaystyle m=\frac{700\ ft-400\ ft}{6\ h-2\ h}[/tex]

[tex]\displaystyle m=\frac{300\ ft}{4\ h}[/tex]

[tex]m=75\ ft/h[/tex]

Her rate of change is 75 ft/h

If PQ=12, QR=20, PS=12, and SR=20, then QS=

Answers

Answer:

QS=23.32

Step-by-step explanation:

by Pythagorean theoremh square is equal to p square + b square

so h=√12×12+20×20h=√144+400h=√544h=23.32

Buddy mark me as a brainlist

can you help me please ​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given that

|v|=38

Ф = 120°

Finding the horizontal component

The horizontal component can be obtained using the formula

Vx = |v| cos Ф

     = 38 cos 120°

     = 38 (-0.5)

      = -19

Thus, the  horizontal component is:

Vx = -19

Finding the vertical component

The vertical component can be obtained using the formula

Vy = |v| sin Ф

    = 38 sin 120°

    = 38 (0.86)

    = 32.68

Thus, the vertical component is:

Vy = -19

A vector 'v' with magnitude |v| and direction Ф can be written as:

v = |v| cos Ф i + |v| sin Ф j

As

|v|=38

Ф = 120°

Thus, the vector is

v = 38 cos 120° i + 38 sin 120° j

or

v = -19 i + 32.68 j

18 ≤ -2x = what?? please answer im in class

Answers

Answer:

-9

Step-by-step explanation:

Solve the system of equations using the elimination method.
(8x +11y = 37
8x+y=7

Answers

Y-7
8/7 the. calculate m

1)A student earned a grade of 80% on a math test that had 60 problems. How many
problems on this test did the student answer correctly?

Answers

Answer:

48

Step-by-step explanation:

80% = .8

60 x .8 = 48

Answer: 48

Step-by-step explanation:

80% of 60 or 80/100 x 60 = 48

How much money will i get in 5.4 hours if i get $4 per 6 hours

Answers

Answer:

3 dollars and 60 cents

Step-by-step explanation:

Consider drawing two cards, without replacement, from a standard deck of 52 cards. That means we are drawing the first card, leaving it out, and then drawing the second card.what is the probability that both cards selected for black?

Answers

Given:

Two cards are drawn from a standard deck of 52 cards without replacement.

To find:

The probability that both cards selected for black.

Solution:

We know that,

Total number of cards = 52

Total number of red cards = 26

Total number of black cards = 26

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Probability of selecting first black card is

[tex]\text{Probability}=\dfrac{26}{52}[/tex]

[tex]\text{Probability}=\dfrac{1}{2}[/tex]

Number of remaining total cards = 52-1 = 51

Number of remaining black cards = 26-1 = 25

Probability of selecting second black card is

[tex]\text{Probability}=\dfrac{25}{51}[/tex]

So, the probability that both cards selected for black is

[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]

[tex]\text{Probability}=\dfrac{25}{102}[/tex]

Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].

I will mark BRAINLIEST pls I need to turn this in soon !!!!!
5. Use the race times to calculate the mean time for each team. Show your work

Red:
Yellow:
Blue:

6. How do the tree teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking


7. How do the three teams rank based on median times? Explain your ranking


8. What statistic should you use if you wish to compare the spreads? Explain your answer


9. The interquartile range for the red teams race time is 5 seconds. Find the IQR for the yellow and blue teams.



10. What do the interquartile ranges (IQRs) tell you about how the teams race ? Explain your thinking.




11. Now that you’ve analyzed the data, it’s time to make a decision.who do you think will win the strict meet describe how you think each team will do, explain your reasoning.

Red:

Yellow:

Blue:

Answers

here is your answer pls check it

Answer:

5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)

Red

45.6

Yellow

47

Blue

42.8

6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)

From fastest to slowest the teams rank

Red

Yellow

Blue

7. How do the three teams rank based on median times? Explain your ranking. (1 point)

Based on median times the teams rank from fastest to slowest

Red and yellow tie for the first place

Blue

8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)

The interquartile range would be the best option for measuring the spread of these statistics.

Step-by-step explanation:

Sorry, this is the best I can do I need help with the rest of the questions.

One batch of cookies requires the following ingredients:

2 1/3 cups of flour

3/4 of a cup of chocolate chips

2/5 of a cup of chopped almonds

1 1/2cups of brown sugar

3/8of a cup of white sugar

1/2 of a teaspoon of salt

Eric wishes to triple the recipe.
How much of each ingredient should he use? Select all that apply.

A) 9/12 cup of chocolate chips

B) 6/5 cups of chopped almonds

C) 1/6 of a teaspoon of salt

D) 1 1/8 cups of white sugar

E) 6 1/3 cups of flour

F) 2 1/2 cups of brown sugar

Answers

ANWSER is 1/2 tea Pisa in salt hope this helped you

You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?

Answers

Answer:

2 m/s

Step-by-step explanation:

Answer:

2m/s²

Step-by-step explanation:

acceleration= v-u/t

=3-1/1

=2m/s²

Find an equation of the line that passes through the point (23, 22) and is
parallel to 2x=3-5y

Answers

Y=mx+b

Slope is 3/1

Y-22=3(x-23)
Y-22=3x-69
+22 +22
Y=3x -47

Y=3x-47

Answer:

The equation of the line is y= -2/5x+156/5

Step-by-step explanation:

y=mx+b

m= -2/5 ( 23,22)

y-y=m(x-x¹)

y-22=-2/5(x-23)

y-22=-2/5x+46/5

+22 +22

y= -2/5x+156/5

In this problem you will use undetermined coefficients to solve the nonhomogeneous equation y′′+4y′+3y=8te^−t+6e^−t−(9t+6)
with initial values y(0)=2andy′(0)=2.

Answers

We're given the ODE,

y'' + 4y' + 3y = 8t exp(-t ) + 6 exp(-t ) - (9t + 6)

(where I denote exp(x) = )

First determine the characteristic solution:

y'' + 4y' + 3y = 0

has characteristic equation

r ² + 4r + 3 = (r + 1) (r + 3) = 0

with roots at r = -1 and r = -3, so the characteristic solution is

y = C₁ exp(-t ) + C₂ exp(-3t )

For the non-homogeneous equation, assume two ansatz solutions

y₁ = (at ² + bt + c) exp(-t )

and

y₂ = at + b

• y'' + 4y' + 3y = 8t exp(-t ) + 6 exp(-t ) … … … [1]

Compute the derivatives of y₁ :

y₁ = (at ² + bt + c) exp(-t )

y₁' = (2at + b) exp(-t ) - (at ² + bt + c) exp(-t )

… = (-at ² + (2a - b) t + b - c) exp(-t )

y₁'' = (-2at + 2a - b) exp(-t ) - (-at ² + (2a - b) t + b - c) exp(-t )

… = (at ² + (b - 4a) t + 2a - 2b + c) exp(-t )

Substitute them into the ODE [1] to get

→   [(at ² + (b - 4a) t + 2a - 2b + c) + 4 (-at ² + (2a - b) t + b - c) + 3 (at ² + bt + c)] exp(-t ) = 8t exp(-t ) + 6 exp(-t )

(at ² + (b - 4a) t + 2a - 2b + c) + 4 (-at ² + (2a - b) t + b - c) + 3 (at ² + bt + c) = 8t + 6

4at + 2a + 2b = 8t + 6

→   4a = 8   and   2a + 2b = 6

→   a = 2   and   b = 1

→   y₁ = (2t ² + t ) exp(-t )

(Note that we don't find out anything about c, but that's okay since it would have gotten absorbed into the first characteristic solution exp(-t ) anyway.)

• y'' + 4y' + 3y = -(9t + 6) … … … [2]

Compute the derivatives of y₂ :

y₂ = at + b

y₂' = a

y₂'' = 0

Substitute these into [2] :

4a + 3 (at + b) = -9t - 6

3at + 4a + 3b = -9t - 6

→   3a = -9   and   4a + 3b = -6

→   a = -3   and   b = 2

→   y₂ = -3t + 2

Then the general solution to the original ODE is

y(t) = C₁ exp(-t ) + C₂ exp(-3t ) + (2t ² + t ) exp(-t ) - 3t + 2

Use the initial conditions y (0) = 2 and y' (0) = 2 to solve for C₁ and C₂ :

y (0) = C₁ + C₂ + 2 = 2

→   C₁ + C₂ = 0 … … … [3]

y'(t) = -C₁ exp(-t ) - 3C₂ exp(-3t ) + (-2t ² + 3t + 1) exp(-t ) - 3

y' (0) = -C₁ - 3C₂ + 1 - 3 = 2

→   C₁ + 3C₂ = -4 … … … [4]

Solve equations [3] and [4] to get C₁ = 2 and C₂ = -2. Then the particular solution to the initial value problem is

y(t) = -2 exp(-3t ) + (2t ² + t + 2) exp(-t ) - 3t + 2

Jared a beekeeper placed 120 hives in a apple orchard

Answers

Answer: 20

Step-by-step explanation:

Can some one help me plz

Answers

Answer:

4h

2d

Step-by-step explanation:

Wrote a linear function f with the values f(-4)=0 and f(4)=2

Answers

Answer:

y = (1/4)x + 1

Step-by-step explanation:

The points mentioned are (-4,0) and (4,2).

We can find the slope m:

(2-0)/(4-(-4)) = 2/8 = 1/4

We now have the equation y = (1/4)x + b

Now we must find the y-intercept.

Plugging in the first point:

0 = (1/4)*(-4) + b

0 = -1 + b

1 = b

y = (1/4)x + 1

winston earns $140.00 by selling 56 hotdogs at a concession stand at school. by using the same rate for the cost of one hotdog , how many more would Winston need to sell to earn $175.00?​

Answers

70. 2.50 times 70 would equal 175.
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