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Ilia_Sergeevich [38]
3 years ago
10

Find the slope of the line using the two given points. (0, -2) and (3, 4)

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

m = 2

Step-by-step explanation:

Using the slope formula, we can find the slope of two points:

        y2 - y1

m = --------------

        x2 - x1

The slope is the same thing as change in y over change in x. Now, plugging in the points (0, -2) and (3, 4):

       4 - (-2)       4 + 2     6

m = -----------  =  ------- = ------  =  2

        3 - 0            3         3

So the slope is 2.

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Took me a minute to think.

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x, the small triangle, forms a ratio with 6, the big triangle.

The part of the side that is equal(with the dash) that is part of the small triangle is equal to 6-x, the big triangle.

Yes, you can cross-multiply here!

\frac{6}{x}  =  \frac{8}{6-x}

<em>Now,</em><em> </em>cross multiply.
P.S. Use distributive property.

36-6x = 8x

Add 6x on both sides.

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Divide by 14 on both sides.

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4 0
4 years ago
Look at the photo and answer the question.
Tanya [424]

Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

4 0
2 years ago
Read 2 more answers
Please help, thanks! Ok so, you pick a card at random, put it back, and then pick another card at random. There are FIVE cards a
tatyana61 [14]

Answer:

P(x > 1\ and\ x < 2) = \frac{4}{25}

Step-by-step explanation:

Given

S = \{1,2,3,4,5\}

n(S) = 5

Required

P(x > 1\ and\ x < 2)

P(x > 1\ and\ x < 2) is calculated as:

P(x > 1\ and\ x < 2) = P(x > 1) * P(x < 2)

Since it is a probability with replacement, we have:

P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}

For x > 1, we have:

x > 1 = \{2,3,4,5\}\\

n(x > 1) = 4

For x < 2, we have:

x < 2 = \{1\}

n(x < 2) = 1

P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}

becomes

P(x > 1\ and\ x < 2) = \frac{4}{5} * \frac{1}{5}

P(x > 1\ and\ x < 2) = \frac{4}{25}

6 0
3 years ago
Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers unselected.
Setler79 [48]

Answer:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x³

k(x) = - 3 x + 1

Step-by-step explanation:

The function notation ⇒ it is the form to write the function, It is meant to be a precise way of giving information about the function, like f(x) , v(x) and so on.

Given the following:

g(x) = 5x + 2.

y = 1 x

h = x²

r(x) = x

f/x = x⁵ - 3

b(x) = 1/2 x³

p/x = -7x

k(x) = - 3 x + 1

y = mx + b

fx = -x³ + 4

So, in the given options the following are in function notations:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x³

k(x) = - 3 x + 1

8 0
4 years ago
For a certain spinner, if we expect to win a prize four times in sixty tries, what is the theoretical probability of winning a p
Vera_Pavlovna [14]

Answer:1/15


Take 60/4=15


8 0
3 years ago
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