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8090 [49]
3 years ago
13

Is the volume of a triangular prism one-third the volume of a rectangular prism with the same base area and height? ASAP!!!!!!!

Mathematics
1 answer:
alexira [117]3 years ago
4 0
Yes because a triangles are is 1/3 b x h and a rectangles area is just b x h. The triangle would get smaller because it doesn’t have one corner, and the rectangle would keep a constant size.
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Why is 1 + (−5) equal to −4? (1 point)
Dafna11 [192]

I'm pretty sure it's D

Filler to post

7 0
3 years ago
Read 2 more answers
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Sholpan [36]

Answer:

<h2>(g \: \circ \: f)(0) = 17</h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3>(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\  = 4(4 {x}^{2}  + 16x + 16) + 1 \\  =  {16x}^{2}  + 64x + 16 + 1</h3>

We have

<h3>(g \: \circ \: f)(x) =  {16x}^{2}  + 64x + 17 \\</h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3>(g \: \circ \: f)(0) = 16( {0})^{2}  + 64(0) + 17 \\</h3>

We have the final answer as

<h3>(g \: \circ \: f)(0) = 17</h3>

Hope this helps you

8 0
3 years ago
11/12 - 3/4 in simplest form.
zlopas [31]

Answer: 1/6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
olganol [36]

Answer:

The equation of the line is.

y=-\frac{5}{2}x-4

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is.

\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}

\frac{x}{-4}=\frac{y+4}{6+4}

-\frac{x}{4}=\frac{y+4}{10}

-\frac{10x}{4}=y+4

-10x=4(y+4)

-10x=4y+16

4y=-10x-16

The above equation is divided by 2 both sides.

2y=-5x-8

y=-\frac{5}{2}x-4

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is y=-\frac{5}{2}x-4

8 0
2 years ago
20km=__mi<br> Helpppp pls
Lesechka [4]

Answer:

20 km = 12.4274 miles.

Step-by-step explanation:

20/1.609 = 12.4274

Divide by 1.609 when converting kilometers to miles.

3 0
3 years ago
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