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vitfil [10]
3 years ago
10

Given the function f(x)=x2+2x, the value of f(4) is

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

24

Step-by-step explanation:

f(x)=x^2+2x

Let x= 4

f(4)=4^2+2*4

     = 16 + 8

    = 24

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What is the total surface area of the pyramid in square feet?
Elis [28]
Base is 12 feet square so 12 *12 = 144 square feet

each triangle has base of 12 feet and height of 8 feet
 area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet

48 x 4 triangles = 192 square feet

total: 192 + 144 = 336 square feet
5 0
3 years ago
Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
  • A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²

The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

8 0
2 years ago
E<img src="https://tex.z-dn.net/?f=e%5E%7Bx%7D%20-%20e%5E%7B-2%7D%20%3D-2" id="TexFormula1" title="e^{x} - e^{-2} =-2" alt="e^{x
pav-90 [236]

$e\cdot e^x -e^{-2}=-2$

$\implies e^{x+1}=e^{-2}-2$

note that RHS is negative. (because e with negative exponent is less than 1)

and LHS is always positive.

so there cannot be any solution

3 0
3 years ago
Find the factors of function g.
SashulF [63]
This will be 2400 cause there is nothing in the ones place
3 0
3 years ago
PLEASE HELP WITH THIS I SHALL GIVE BRAINLIEST
CaHeK987 [17]

Answer:

58

Step-by-step explanation:

can I have brainliest

6 0
3 years ago
Read 2 more answers
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