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sergij07 [2.7K]
4 years ago
9

Write the equation of the line that passes through the points (-2,-1)(−2,−1) and (2,4)(2,4). Put your answer in fully reduced po

int-slope form, unless it is a vertical or horizontal line.
Mathematics
1 answer:
snow_tiger [21]4 years ago
7 0

Answer: y= 5/4 + 3/2

Step-by-step explanation: Your equation is y=mx +b. You have to subtract the second y from the first y, and the second x from the first x to find the slope. This equation would be 4-(-1) over 2-(-2). So your slope will be 5/4. Now to find the y-intercept you can choose either (x,y) point. For example if you are using (2,4) you would do b= 4-(5/4)(2). b=3/2.

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How do you work this out
Digiron [165]
Check the picture below.

notice, is just a circle inscribed in a square.

now for the first one, we know the diameter is 14, so the square is a 14x14, and the radius of that is half the diameter or 7.

now, if we get the area of the square, which includes the area of the circle, and THEN get the area of the circle and subtract it from the square's, what's leftover is the shaded section.

\bf \textit{area of a circle}\\\\ A=\pi r^2\\\\
-------------------------------\\\\
\stackrel{\textit{square's area}}{14\cdot 14}~-~\stackrel{\textit{circle's area}}{\pi 7^2}\implies 196-49\pi

now, for the one on the right-hand-side, the radius is 8, and square's area is 16x16,

\bf \stackrel{\textit{square's area}}{16\cdot 16}~-~\stackrel{\textit{circle's area}}{\pi 8^2}\implies 256-64\pi

5 0
4 years ago
It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude o
Juli2301 [7.4K]

Given that,

An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.

Also it takes 209 seconds at an altitude of 8848 m.

To find,

The domain of T.

Solution,

Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :

-418\le x \le 8848

Therefore, this is the required solution.

3 0
3 years ago
Kendra is considering two different long-distance phone plans. Phone plan A charges a $100 sign-up fee and 3 cents per minute. P
Fed [463]

Answer:

Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable

Part 2) The number of minutes in a month must be equal to 50 minutes

Step-by-step explanation:

<u><em>The question is</em></u>

Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute

Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan

Part 1)

Let

x ---> the number of minutes

we have

<em>Cost Plan A</em>

3x+100

<em>Cost Plan B</em>

5x

we know that

In order for plan A to be cheaper than plan B, the following inequality must hold true.

cost of plan A < cost of plan B

substitute

3x+100 < 5x

solve for x

subtract 3x both sides

100< 5x-3x\\100

divide by 2 both sides

50 < x

Rewrite

x> 50\ min

therefore

The number of minutes in a month must be greater than 50 in order for the plan A to be preferable

Part 2)

Let

x ---> the number of minutes

we have

<em>Cost Plan A</em>

3x+100

<em>Cost Plan B</em>

5x

we know that

In order for plan A cost the same than plan B, the following equation must hold true.

cost of plan A = cost of plan B

substitute

3x+100= 5x

solve for x

5x-3x=100\\2x=100\\x=50\ min

therefore

The number of minutes in a month must be equal to 50 minutes

5 0
3 years ago
Please help.........
anygoal [31]
-\dfrac{ax}{b}\geq c-d\ \ \ |\text{change the signs}\\\\\dfrac{ax}{b}\leq d-c\ \ \ |\cdot b\\\\ax\leq bd-bc\ \ \ \ |:a\\\\\boxed{x\leq\dfrac{bd-bc}{a}}
3 0
3 years ago
Simplify using the order of operations (PEMDAS)<br><br><br>-5 + 2(10)
jeyben [28]

Answer:

The answer is 15

Step-by-step explanation:

-5 + 2(10)

-5+20

=15

5 0
3 years ago
Read 2 more answers
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