Write the equation of the line passing through the points (-4, 5) and (4, 1).

Answers

Answer 1

9514 1404 393

Answer:

  y = -1/2x + 3

Step-by-step explanation:

It can work to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values

  y = -4/8(x +4) +5 . . . . . . . . simplify a bit

  y = -1/2x -2 +5 . . . . . .eliminate parentheses

  y = -1/2x +3 . . . . collect terms


Related Questions

What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...

Answers

Answer:

d = 17

Step-by-step explanation:

The given arithmetic sequence is :

31, 48, 65, 82, ...

We need to find the common difference for this sequence.

First term, a₁ = 31

Second term, a₂ = 48

Common difference = a₂-a₁

= 48-31

= 17

So, the common difference for this arithmetic sequence is equal to 17.

In a bag of marbles, image are red, image are blue, image are green, and image are yellow. You pick a marble without looking. What color marble are you MOST likely to choose?

Answers

Answer:

red

Step-by-step explanation:

1/2 is larger than 1/4, 1/6, and 1/12 meaning the chance of pulling red is greater than getting blue, green, or yellow.

hope i helped you!

What is the overlap of Team 1 and Team 2?


high

medium

low

none
Two line plots aligned vertically so that their labels match. The first line plot is from 72 to 82, is labeled Team 1, and shows the following values that appear as x marks above the line. One x mark above 73. Two x marks above 74. Two x marks above 75. Three x marks above 76. Two x marks above 77. One x mark above 78. One x mark above 80. The second line plot is also from 72 to 82, is labeled Team 2, and shows the following values that appear as x marks above the line. One x mark above 74. Two x marks above 75. Four x marks above 76. Two x marks above 77. One x marks above 78. One x mark above 79. One x mark above 80.

Answers

Answer:

low

Step-by-step explanation:

A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle

Answers

Answer:

12 inches

Step-by-step explanation:

1. The diagonal is the hypotenuse of the right triangle.  so since we know one side length, we can figure out the other side length

1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12

I also need help with this one so pls help me

Answers

Answer:

the answer is 39

Step-by-step explanation:

you take 300 - 271 and you get 39

Answer:

29? or I'm just gullible.

Step-by-step explanation:

It seems like 29 so hopefully it is

HELP HELL HELP HELP HELP HELP HELP HELL

Answers

Answer:

j

Step-by-step explanation:

J is your answer to the question

Round number 245-320

Answers

Answer:

300

Step-by-step explanation:

if you mean, 245.320

margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?

Answers

0.87 mushroom soup per can
Answer: $0.67

Explanation: if the tomato soup can cost 79 cents then you divide that by 8 and you will get $6.32. Now if you subtract that by 9 your answer will be $2.68 so once you get that number, divide it by 4 and the answer will be $0.67

I need to know Sergio rode mph and Sergio walked mph

Answers

Answer:

73

Step-by-step explanation:

Probably

Sure it good I have this question on my test

Find the next three terms: −14,−17,−20,−23,...

Answers

Answer:

-26, -29, -32

Have a great day!

Step-by-step explanation:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes

Answers

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

HELP PLEASE WALLAHI HELP PLS WALLAHI HELP

Answers

Answer I think its 6 and -3

Step-by-step explanation:

An angle turns through 60 one degree angles. What is the measure of the angle?

Answers

9514 1404 393

Answer:

  60°

Step-by-step explanation:

  60 × 1° = 60°

The angle measure is 60°.

Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?

1.45

Answers

Answer:

True

Step-by-step explanation:

1.45 the 5 is equal/above it so it is true

yes if it's 5 or more your round it up 4 or less you don't

Explain 5 different ways you use Math in your everyday life.

Answers

Answer:

Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.

Step-by-step explanation:

Answer:

1. you use it to calculate time (managing your day)

2. you use it while driving (use in angles and degrees)

3. you use it while drawing (again, use in angles and degrees)

4. you use it while cooking

5. you use it while banking (financial help)

Step-by-step explanation:

hope this helps:) please mark brainliest

11
A blue dress is marked down 15%. What is the sale price of the dress if the
regular price is $150?
Type your answer...

Answers

Answer:

45 dollar's ezzzzzzzzzzzzz

how much money will she have left after she pays back the money she borrowed from the bank

Answers

Step-by-step explanation:

whatever amount her bank account balance is at the same time frame when paying off her loan as only her bank knows

can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow

Answers

Answer: Your answer is (C) 6/14

Step-by-step explanation: Have a brilliant day mate - Lily ^-^

Find the perimeter of the rectangle. 11. 13 cm Area = 52 cm2​

Answers

Answer:

1352 cm

Step-by-step explanation:

Length (l) = 13 cm

Width (w) = 52 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 11 cm

w = 52 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

Does the point (4, 0) satisfy the equation y = x2?

Answers

y=x^2
substitute the values into the original equation
0=4^2
0=16
No it does not satisfy the equation because 0 does not equal to 16

Which expression is equivalent to the given expression?

8(34a)−8


34a

6a

8(34a−1)

34a−1

Answers

Answer:

8(34a-1)

Step-by-step explanation:

Hope this helps :)

Answer:

8(34a-1)

Step-by-step explanation:

Calculate the speed of a car traveling a total distance of 60 meters in 4 seconds. pls help will give brainliest

Answers

Answer:

15 meters per second

Step-by-step explanation:

60/4 = 15

Answer:

15 meters per second

can someone answer this whole page lol
marking brainliest btw

Answers

Answer: all i can read is number 2 and the answer is 5ft

Step-by-step explanation:

Answer:

B) [tex]\sqrt{225-81}[/tex]H) 5Triangle DG) 18 yards

Step-by-step explanation:

To solve question 1, you use the Pythagorean Theorem to solve. Option B uses this correctly.

Question 2 also uses the Pythagorean Theorem to solve. The answer is a decimal, but rounded to the nearest whole number, the answer is 5.

Question 3 uses the Pythagorean Theorem to see which triangles have the correct measurements of a right triangle. The triangle D is the only incorrect one.

Number 4 uses the Pythagorean Theorem to find the distance it would take to walk in a straight line. The answer to this is 51. Then subtract (24 + 45) - 51 to get 18 yards.

Hope it helps!

I will give brainly Brett has a box that has edges 2.5 meters long. He plans to paint the
outside of all sides, including the top and bottom, of this box. Before
buying the paint, he needs to know the area of the surface he plans to
paint. What is the outside surface area of this box?

Answers

Answer:37.5

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

Which activities demonstrate ability the most?

Answers

I think it’s dancing

6 devide by 7.3 so what is the answer

Answers

Answer:

0.82

step-by-step explanation:

HELP ASAP NEED ANSWER

Answers

Answer:

2

Step-by-step explanation:

hope this helps

please give brainliest. Thanks! :)

4. Suppose the probability of event A is 0.23, the probability of the intersection of event A and event Bis 0.12, and
the probability of the union of event A and event B is 0.34. Find the probability of the complement of event B.
(A) 0.11
(B) 0.23
(C) 0.48
(D) 0.52
(E) 0.77

Answers

Answer:

[tex]P(B') = 0.77[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.23[/tex]

[tex]P(A\ n\ B) = 0.12[/tex]

[tex]P(A\ u\ B) = 0.34[/tex]

Required

Find P(B')

First, we calculate P(B).

We have:

[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]

Substitute values

[tex]0.12 = 0.23 + P(B) - 0.34[/tex]

[tex]0.12 = 0.23 - 0.34 + P(B)[/tex]

Collect like terms

[tex]P(B) = 0.12 - 0.23 + 0.34[/tex]

[tex]P(B) = 0.23[/tex]

P(B') is then calculated as:

[tex]P(B') = 1 - P(B)[/tex]

[tex]P(B') = 1 -0.23[/tex]

[tex]P(B') = 0.77[/tex]

Which inequality represents the number line below?
x< 2
x > 2
x _< 2
x >_ 2

Answers

Answer:

x_<2

Step-by-step explanation:

its shaded in so you have to flip it

Answer:

The answer is

x_<2

The circle is shaded and the arrow is going to the left hand side

Answer it fast please​

Answers

(3/5)^3 x (3/5)^-2
= (3/5)^1
= 3/5
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