All categories

2 years ago

Given the points (9,9) and (-6, -10) find the slope. m =

Mathematics

2 answers:

BaLLatris [955]2 years ago

8 0

Answer: $\frac{19}{15}$ or 1.26667

Step-by-step explanation:

m=rise over run=Δy over Δx

m=y2−y1x2−x1

m=−10−9−6−9

m=−19−15

m=19/15

Ivanshal [37]2 years ago

5 0

1. Observe question

2. Employ Point-Slope formula

(y2 - y1)/(x2 - x1 )=

(-10-9)/(-6-9) =

-19/-15=

19/15

Slope: 19/15

You might be interested in

Round to the nearest dime: $3.489

mr_godi [17]

3.49 is the anwser you need

5 0

3 years ago

A minigolf ball is on a perfectly horizontal surface, x = 2 m away from the center of the hole. There is a small obstacle in the

nika2105 [10]

<h3>Answer:</h3><h3>Two possible smallest and largest angles are 11.78° and 78.22°.</h3>

Step-by-step explanation:

Minigolf ball will follow a trajectory to get into the hole.

Since range of a trajectory is calculated by the formula,

$R=\frac{u^{2}sin2\theta}{g}$

Where u = initial speed of the ball

θ = angle between the hole and direction in which the ball has been projected

g = gravitational pull

Now we plug in the values in the formula,

$2=\frac{7^{2}sin(2\theta)}{9.8}$

sin2θ = $\frac{2\times 9.8}{49}$

2θ = $sin^{-1}(0.4)$

2θ = 23.57° or 156.43°

θ = 11.78° or 78.22°

Hence two possible smallest and largest angles are 11.78° and 78.22°.

6 0

3 years ago

What are all shapes a all right angle rectangle can be

Gelneren [198K]

Answer:square, triangle, rectangle

Step-by-step explanation:

4 0

3 years ago

4.4 + (4 × 14 + 8.6)

Sedaia [141]

4.4 + (4 × 14 + 8.6)

Follow the order of operations (PEMDAS).

4.4+(56+8.6)

4.4+(64.6)

answer: 69

6 0

3 years ago

Read 2 more answers

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0

2 years ago

Read 2 more answers