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2 years ago

What is the distance between the points M(-8,11) and N(3,7)?

1 answer:

6 0

$\text{Given that,}\\\\(x_1,y_1) = (-8,11)~~\text{and}~~ (x_2,y_2) = (3,7)\\\\\text{Now,}\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3+8)^2 +(7-11)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{11^2 + (-4)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{121+16}\\\\~~~~~~~~~~~~~~~=\sqrt{137}\\\\~~~~~~~~~~~~~~~\approx 11.705~\text{units.}$

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Answer:

Step-by-step explanation:

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To prove that p is irrational you need to understand calculus, up through integration. Even then, the proof is rather intense and takes careful attention.

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2 years ago

2. Irene wants to list the factors for 88. She

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3 years ago

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Find the volume of a sphere whose radius is 13 feet. Round your answer to two decimal places. (use = 3.14)

Helen [10]

Answer:

9,202.77

Step-by-step explanation:

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3 years ago

At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr

xz_007 [3.2K]

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=(14-1)=13\ years\\ P=\$250\\r=0.03$

substitute in the formula above

$A=\$250(1+0.03*13)$

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4 years ago

Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?

Mekhanik [1.2K]

Answer:y=-5(x+11)^2 -28

Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?

First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

I hope that helps!

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3 years ago