All categories

2 years ago

Use the coordinates of the labeled point to find the point-slope equation of the line

Mathematics

1 answer:

koban [17]2 years ago

3 0

Answer:

A. y + 1 = -2(x-2)

Step-by-step explanation:

point-slope equation is : y - y1 = m (x -x1)

remember m= slope value

the given point is (2, -1) therefore we can substitute the values in:

y + 1 = m(x -2)

now to make sure our answer is complete we will solve for the slope:

looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)

with any two points you can determine a slope.

y2 - y1 / x2 - x1

therefore :

-1 -3 / 2 - 0

-4 / 2 = -2

therefore our m value is -2

this makes the completed point-slope equation:

y + 1 = -2 (x - 2) or A

You might be interested in

Rearrange x=3g+2 to make g the subject

Eduardwww [97]

Answer:

g = (x - 2)/3

Step-by-step explanation:

g = (x - 2)/3

8 0

2 years ago

Read 2 more answers

Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10

Alborosie

Answer:

The probability is 42%

Step-by-step explanation:

Conditional Probability

It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).

If P(A) is the probability of occurrence of A, $P(A\cap B)$ is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

$\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}$

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.

The probability that a randomly selected band member plays the trumpet is

$\displaystyle P(A)=\frac{24}{125}$

The probability that he or she has both attributes is

$\displaystyle P(A\cap B)=\frac{10}{125}$

Thus, the required conditional probability is

$\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}$

$\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42$

The probability is 42%

5 0

2 years ago

Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.

Basile [38]

So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 × x × y
This can be written as 2x × y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.

3 0

2 years ago

Read 2 more answers

a rectangle rug has a perimeter of 146 ft the width of the rug is 5 feet more than three times the length find the length and th

dem82 [27]

Answer:

The length = 56 feet and the width = 17 feet.

Step-by-step explanation:

We can set up 2 equations to solve this. Let the length of the rug be x, then

x = 3w + 5 where w = the width. ( looks like you got the width and the length mixed up. The length is the longest side)

The perimeter = 2x + 2w = 146 so we have the 2 equations:

x = 3w + 5

2x + 2w = 146

Now we substitute for x in the second equation:

2(3w + 5) + 2w = 146

6w + 10 + 2w = 146

8w = 136

w = 17 feet,

and x = 3(17) + 5 = 56 feet.

7 0

2 years ago

Read 2 more answers

According to a nutrition coach, a 100 kg person should eat

alexira [117]

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

$\frac{0.07}{100}$ = $\frac{x}{100}$

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

4 0

2 years ago