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2 years ago

Find the slope that passes through the line (9, 3) and (2, 7)

Mathematics

1 answer:

aalyn [17]2 years ago

7 0

Answer:

-4 / 7

Step-by-step explanation:

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

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

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

m = (3 - 7) / (9 - 2)

m = -4 / 7

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F(x) = x2 + 1<br> g(x) = 5-x<br> (f+g)(x) =<br> O x2 + x-4<br> x²+x+4<br> O x2-x+6<br> O x2 + x + 6

charle [14.2K]

Answer:

$\boxed{(f + g)(x) = {x}^{2} - x + 6}$

Given:

$f(x) = {x}^{2} + 1 \\ \\ g(x) = 5 - x$

To Find:

$(f + g)(x) = f(x) + g(x)$

Step-by-step explanation:

$= > f(x) + g(x) = ({x}^{2} + 1) + (5 - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 1 + 5 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 6 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} - x + 6$

5 0

2 years ago

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Taya2010 [7]

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

$\left(x,\:y\right)=\left(8,\:7\right)$

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)

(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

Here:

$\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)$

Thus,

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)$

$\left(x,\:y\right)=\left(8,\:7\right)$

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

$\left(x,\:y\right)=\left(8,\:7\right)$

3 0

2 years ago

What is the horizontal asympote of this graph?

Anna35 [415]

Using it's concept, it is found that the graph has no horizontal asymptote.

<h3>What are the horizontal asymptotes of a function f(x)?</h3>

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, we have that:

The function is undefined for x < 0, hence $\lim_{x \rightarrow -\infty} f(x)$ is undefined.

For x > 0, the funciton goes to infinity, hence $\lim_{x \rightarrow \infty} f(x) = \infty$ .

Thus, the graph has no horizontal asymptote.

More can be learned about horizontal asymptotes at brainly.com/question/16948935

#SPJ1

4 0

1 year ago

Determine whether the conjecture is true or false. Give a counterexample for any false conjecture. Given: Point B is in the inte

Arte-miy333 [17]

True because point B is the interior

5 0

2 years ago

Read 2 more answers

Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s

Sonja [21]

To find the amount of soup in the soup-milk mixture, we just need to subtract the amount of milk from the amount of soup-milk mixture.

2 5/8 - 1 1/3 = 1 7/24.

There were 1 7/24 cups of soup in the can.
Hope that helped =)

8 0

2 years ago