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3 years ago

Find the following measure for this figure. Volume =

Mathematics

1 answer:

Rudiy273 years ago

5 0

Answer:

400 cubic units

Step-by-step explanation:

The volume of a square prism is $\dfrac{1}{3} s^2 h$ . Plugging in the given values, you get:

$\dfrac{1}{3}\cdot 10^2 \cdot 12= 400$

Hope this helps!

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For f(x)=1/x^2-3, find<br> a) f(3)<br> b) f(2+h)<br> Show/explain work

valentina_108 [34]

$f(x)=\dfrac{1}{x^2-3}\\\\a)\ f(3)\to\text{put x=3 to the equation of the function f}\\\\f(3)=\dfrac{1}{3^2-3}=\dfrac{1}{9-3}=\dfrac{1}{6}\\\\Answer:\ \boxed{f(3)=\dfrac{1}{6}}\\\\b)\ f(2+h)\to\text{put x=2+h to the equation of a function f}\\\\f(2+h)=\dfrac{1}{(2+h)^2-3}\ \ \ |\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\dfrac{1}{2^2+2(2)(h)+h^2-3}=\dfrac{1}{4+4h+h^2-3}=\dfrac{1}{h^2+4h+1}\\\\Answer:\ \boxed{f(2+h)=\dfrac{1}{h^2+4h+1}}$

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3 years ago

Graph y=3/4x−3. Identify the x-intercept.

Semmy [17]

Answer:

x=(4y)/(3)+4

Step-by-step explanation: hope this helps :D

7 0

3 years ago

Read 2 more answers

Please help me answer the question.ghvjhbikb

rjkz [21]

Answer:

240units^2

Step-by-step explanation:

The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.

Then for the rectangle below you do l x w, or 10 x 20 giving 200.

You then add it all together, 200+20+20=240 units squared.

Hope this helps!

6 0

3 years ago

How do I do this??? I need help please

Rufina [12.5K]

Answer:

5; 10; 20.

Step-by-step explanation:

the 1st step is shown with orange colour, described on the right part; the 2d step is shown with blue colour, described on the right part of the picture.

3 0

3 years ago

The functions f (x) = 1/2x-3 and g(x) = -2x+ 2 intersect<br> at x = -2. True or false?

Norma-Jean [14]

9514 1404 393

Answer:

False

Step-by-step explanation:

f(-2) = (1/2)(-2) -3 = -1 -3 = -4

g(-2) = -2(-2) +2 = 4 +2 = 6

The function values are not the same at x=-2, so the graphs do not intersect there.

The graphs intersect at x=2.

4 0

3 years ago