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3 years ago

What is the distance between (5,2) and (-3,4) on a coordinate plane

1 answer:

5 0

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 5}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ -3}}\quad ,&{{ 4}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-3-5]^2+[4-2]^2}$

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3 years ago

A 4-pound bag of potatoes costs $3.16 how much would 32 pounds of potatoes costs

zimovet [89]

Answer:

$25.28

Step-by-step explanation:

Since a 4 pound bag cost $3.16 you would do 32 divided by 4 and you would get 8. Then you would do 8 times 3.16 and you get 25.28.

The long way:
4 bags = 3.16
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3 years ago

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algol [13]

I believe the answers are c and d

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4 years ago

Read 2 more answers

If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of t

zimovet [89]

I think the correct answer from the choices listed above is the third option. <span>If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of the parameter, then it is a biased estimator. Hope this answers the question.
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4 years ago

An oblique square prism is shown. Which expression represents the volume of the prism?

Furkat [3]

Answer:

C. $x^2*(x-2)\text{ Cubic units}$

Step-by-step explanation:

We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.

Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.

The volume of an oblique prism is base area multiplied by the height.

$\text{Volume of an oblique prism}=\text{Base area* Height of the prism}$

We can see from our diagram that our prism has an square base as each side of base equals x units.

$\text{Base area of prism}=x\text{ units}*x\text{ units}$

$\text{Base area of prism}=x^2\text{ units}^2$

We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.

Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,

$\text{Volume of an oblique prism}=x^2\text{ units}^2*(x-2)\text{ units}$

$\text{Volume of an oblique prism}=x^2*(x-2)\text{ units}^3$

Therefore, the volume of our given prism is $x^2*(x-2)\text{ Cubic units}$ and option C is the correct choice.

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3 years ago

Read 2 more answers