What is the volume of the prism??

Mathematics

1 answer:

wlad13 [49]3 years ago

4 0

819 cubic centimeters because you would just multiply the base by the height since that is the formula for volume.

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The roots of 2x^{2} + 3x = 4 are α and β. Find the simplest quadratic equation which has roots <img src="https://tex.z-dn.net/?f

elena-s [515]

$2x^2+3x=4\implies2x^2+3x-4=0\implies x=\dfrac{-3\pm\sqrt{41}}4$

Let $\alpha$ be the root with the positive square root and $\beta$ the root with the negative square root. Then

$\dfrac1\alpha=\dfrac4{-3+\sqrt{41}}\quad\text{and}\quad\dfrac1\beta=\dfrac4{-3-\sqrt{41}}$

The simplest quadratic with these roots can be written as

$\left(x-\dfrac1\alpha\right)\left(x-\dfrac1\beta\right)=x^2-\left(\dfrac1\alpha+\dfrac1\beta\right)x+\dfrac1{\alpha\beta}=x^2-\dfrac34x-\dfrac12$

4 0

3 years ago

The blueprint of a rectangular fountain shows that the length will be 7 feet longer than twice it's width. The area of the recta

bazaltina [42]

Answer:

D .(w)(2w+7)=85

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: width x length

Since the length will be 7 feet longer than twice its width (w).

So, to obtain the length we have to multiply the width by 2 (twice) and add 7.

Mathematically speaking:

Length: 2w+7

Back with the area formula:

Area of a rectangle: length x width

Replacing with the values given:

85 = w (2w+7)

Note: option D correct equation is D .(w)(2w+7)=85, since we don't have x variables.

5 0

4 years ago

Please help! I'll give 30

Softa [21]

Answer:

B is correct

Step-by-step explanation:

The person is mentioned is Phil. His amount of money and number of miles are proportionally related (Clark's amount of money and number of miles are not proportionally related due to initial donation)

For Phil, y = ax is his model.

Look into the graph, we can see there is a point where y = 30 and x = 4.

Then rate = 30/4 = 7.5

8 0

3 years ago

Read 2 more answers

Without multiplying, circle whether eac less than, or equal to the whole numbe 4 X 국 greater than less than equal to

hichkok12 [17]

Given

1. 4 x 1/7

2. 12 x 2 5/6

procedure