What are the slope of a line that passed through the points (2,1) and (3,3)

Mathematics

1 answer:

Fiesta28 [93]2 years ago

7 0

Answer:

the slope is just 2

Step-by-step explanation:

I'm not sure exactly what you mean by the input and output but I think it means 2 pages per minute.

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Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

$\frac{3 }{4} x - 1 = \frac{4}{3} x - 1$

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

$3x - 4 = 5 \frac{1}{3}x - 4$

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

$9x - 12 = 6 x - 12$

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

$y = \frac{3}{4} (0) - 1$

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0

2 years ago

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

valentina_108 [34]

The answer is 0 < x ≤ 7

First, we know that width = x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18) ≤ 175

X^2 + 18x - 175 ≤ 0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 ≤ 175 + 81

(x + 9)^2 ≤ 256

|x + 9| ≤ sqrt(256)

|x + 9| ≤ +-16

-16 ≤ x + 9 ≤ 16

-16 - 9 ≤ x ≤ 16 - 9

-25 ≤ x ≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
 0 < x ≤ 7

7 0

2 years ago

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour