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3 years ago

The midpoint of Line

1 answer:

4 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y-1}{2} \right)~~=~~\stackrel{M}{(3~~,~~1)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\[-0.5em] \hrulefill\\ \cfrac{y-1}{2}=1\\[1em] y-1=2\\ \boxed{y=3} \end{cases}$

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How many times does 5 go into 45?

Yanka [14]

Answer:

bruv this is second grade stuff

Step-by-step explanation:

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2 years ago

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John & friends brought 4 bags of popcorn and 3 sodas at the movie for a total of 13.50. At the next movie John & friend

scoray [572]

Answer:

The cost of 5 bags of popcorn and 2 sodas is 14.25 units.

Step-by-step explanation:

We are given the following in the question:

Let x units be the cost of a popcorn bag and y units be cost of soda.

The cost of 4 bags of popcorn and 3 sodas is 13.50.

Thus, we can write the equation:

$4x + 3y = 13.50$

The cost of 2 bags of popcorn and 5 sodas is 12.00

Thus, we can write the equation:

$2x+5y=12$

Solving the two equations, we get,

$4x + 3y-(4x+10y) = 13.5 - 24\\\Rightarrow -7y =10.5\\\Rightarrow y = 1.5\\\Rightarrow 2x + 5(1.5) = 12\\\Rightarrow x = 2.25$

Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.

Cost of 5 bags and 2 sodas

= $=5x+2y\\=5(2.25) + 2(1.5)\\=14.25$

Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.

8 0

3 years ago

Each month, Arnold receives $1,050 for working part time at his uncle’s camera store. For each camera that he sells, he earns a

maksim [4K]

Answer:

$1,050*125x=P(x). I just need more characters.

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3 years ago

15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be

Arisa [49]

The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

To figure this out, first find 15% of 80 and then 25% of 48.

To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)

To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.

So, the final answer is B. They both equal to 12.

Hope it helps :)

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3 years ago

20 points to whoever gets the correct answer uwu

S_A_V [24]

Answer:

Angle EFG = 104 degrees

Angle GFH = 76 degrees

Step-by-step explanation:

Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.

Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.

We can then combine like terms, getting 6n + 54 = 180.

Then, we can subtract both sides by 54, getting 6n = 126.

Lastly, we can divide both sides by 6, getting n = 21.

EDIT - solve for EFG and GFH:

Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees

Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees

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3 years ago

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