1 year ago

Find the volume of the rectangular prism below. (Hint: Volume = Base Area x Height of Prism)

Mathematics

1 answer:

Inga [223]1 year ago

6 0

Answer:

The answer is D

Step-by-step explanation:

Base area: 9 x 7 = 63

63 x 5 = 315

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Which lengths would form a right triangle? 9, 12, and 14 24, 7, and 26 21, 16, and 12 30, 24, and 18

Kamila [148]

right triangle
c^2 = a^2+b^2
30^2 = 24^2+18^2
900 = 576 +324
900 = 900

answer
 30, 24, and 18

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2 years ago

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Determine the exponential function that satisfies the given conditions.

zavuch27 [327]

Answer: 0.8(.50)^t/5

Step-by-step explanation:

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3 years ago

How many roots does this has? x^2+(2√5x)+2x=-10 find Discriminant

Alexxandr [17]

Given:

The equation is

$x^2+(2\sqrt{5})+2x=-10$

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

$x^2+(2\sqrt{5})x+2x=-10$

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

$x^2+(2\sqrt{5}+2)x+10=0$

Here, $a=1, b=(2\sqrt{5}+2), c=10$ .

Discriminant of the given equation is

$D=b^2-4ac$

$D=(2\sqrt{5}+2)^2-4(1)(10)$

$D=20+8\sqrt{5}+4-40$

$D=8\sqrt{5}-16$

$D\approx 1.89>0$

Since discriminant is $8\sqrt{5}-16\approx 1.89$ , which is greater than 0, therefore, the given equation has two distinct real roots.

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2 years ago

write an equation in point slope form of the line that passes through the point (0,1) and has a slope if -3/2

DochEvi [55]

Step-by-step explanation:

y - 1 = -3

x - 0 2

2y - 2 = -3x

2y = -3x + 2

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