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2 years ago

Use the following graph to find the slope of the line connecting Saturn and earth

Mathematics

2 answers:

marissa [1.9K]2 years ago

5 0

Answer:

The slope is 2.

Step-by-step explanation:

To find the slope we can take two points from the graph (in this example I'll use (3, 2) and (4, 4)) and input them in this expression: $\frac{y2-y1}{x2-x1}$

$\frac{4-2}{4-3}$

Solve:

4 - 2 = 2

4 - 3 = 1

$\frac{2}{1}$ = 2

The slope of the line connecting Saturn and Earth is 2.

Hope this helps :)

anyanavicka [17]2 years ago

3 0

2 is the correct slope:)

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Nina [5.8K]

Okay, my prior answer got deleted for no work, apparently.
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That word problem translates to:
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2 years ago

3x - 4y =7 solve for y

pochemuha

Y= 3/4x - 7/4
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3 years ago

Read 2 more answers

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

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2 years ago

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Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

So now that we have our equation we can just plug in the numbers:

$\frac{(-9)-(-9)}{5-(-3)}$

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

$(-9) = 5(0) + b$

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

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2 years ago

Read 2 more answers

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Butoxors [25]

Answer:

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Step-by-step explanation:

You switch the percent to a decimal and move the number two times to the right so for example 50 percent turns into .5 multiply .32 times 36 is 11.52