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4 years ago

Let g be a vertical by a factor of 2, followed a translation 2 units up the graph of f(x)

Mathematics

1 answer:

choli [55]4 years ago

7 0

Answer:

gggtt

Step-by-step explanation:

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Square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches what

Nataly [62]

The surface area of the square pyramid is 360 in²

Explanation:

Given that the side length is 10 inches.

The height of the pyramid is 12 inches.

We need to determine the surface area of the pyramid.

The surface area of the pyramid is given by

$SA=s^2+2sl$

Where s is the side length and l is the slant height.

The slant height can be determined using the formula,

$l=\sqrt{h^2+b^2}$

where h = 12 and $b=\frac{s}{2} =5$

Substituting these values in the formula, we get,

$l=\sqrt{12^2+5^2}$

$=\sqrt{144+25}$

$l=\sqrt{169}$

$l=13$

Thus, the slant height is $l=13$

Now, we shall find the surface area of the pyramid.

Substituting $l=13$ and $s=10$ in the formula $SA=s^2+2sl$ , we get,

$SA=10^2+2(10)(13)$

$=100+260$

$SA=360 \ in^2$

Thus, the surface area of the square pyramid is 360 in²

5 0

4 years ago

8(3)-3y=12 What is y in this equation

iVinArrow [24]

8(3) - 3y = 12

First, multiply 8 × 3 to get 24.
$24 - 3y = 12$
Second, subtract '24' from both sides.
$-3y = 12 - 24$
Third, subtract '12 - 24' to get '-12'.
$-3y = -12$
Fourth, divide both sides by '-3'.
$y = \frac{-12}{-3}$
Fifth, change the whole fraction to a negative.
$y = \frac{12}{3}$
Sixth, 12 ÷ 3 = 4. Simplify your fraction to 4.
$y = 4$

Answer: y = 4

3 0

3 years ago

Read 2 more answers

To kick off the summer, Ted is planning a "School's Out!" party for all his friends. He and his

tino4ka555 [31]

there’s no question?

5 0

3 years ago

If f(x)=2x^2+3x−4, and g(x)=−8x−4, what does f(x)+g(x) equal?

padilas [110]

Answer:

f(x) + g(x) = 2x² - 5x - 8 ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- We can add to functions by adding the like terms in them

∵ f(x) = 2x² + 3x - 4

- f(x) is a quadratic function because the greatest power of x is 2

∵ g(x) = -8x - 4

- g(x) is a linear function because the greatest power of x is 1

∵ f(x) + g(x) means (f + g)(x)

∴ f(x) + g(x) = (2x² + 3x - 4) + (-8x - 4)

- Add the like terms

∵ 3x + -8x = -5x

∵ -4 + -4 = -8

∴ f(x) + g(x) = 2x² + -5x + -8

- Remember (+)(-) = (-)

∴ f(x) + g(x) = 2x² - 5x - 8

* f(x) + g(x) = 2x² - 5x - 8

3 0

4 years ago

Prove: (2(tan x - cot x) / (tan^2 x - cot^2 x} = sin (2x)

KatRina [158]

So here is how we are going to prove that (2(tan x - cot x) / (tan^2 x - cot^2 x} = sin (2x). Follow it step by step:
LS = 2(tanx−cotx)
 ------------------
tan^2−cot^2x
= 2(tanx−cotx)
----------------------
(tanx−cotx)(tanx+cotx)
= 2
-------------------
(tanx+cotx)
= 2
-----------------
Sin2x+cos2x
---------------- sinxcosx
= 2
-------------
1
------------
 sinxcosx
 = 2sinxcosx
= sin2x
I hope that is the answer that you are looking for. Let me know if you need more help next time. Thanks for posting your question here in brainly!

4 0

3 years ago