Answer:
84 cm²
Step-by-step explanation:
Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles
Area of 2 triangles:
Base = 4 cm
Height = 3 cm
Area of the 2 triangles = 2(½*base*height)
= 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 4 cm
Area = length * width = 24 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 5 cm
Area = length * width = 30 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 3 cm
Area = length * width = 18 cm²
Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²
Solve the absolute value equation.
First subtract 5 from both sides.
|x|+5=18
|x|=13
If the absolute value of x is 13 that x equals 13 and -13. Absolute value means distance from 0.
x=13,-13
The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
<h3>How to determine the number of real zeros?</h3>
The equation of the function is given as:
Expand the function
Reorder the terms
Factor the expression
Factor out x -1
Expand
Factorize
](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Bx%28x%20%2B%203%29%20%2B%202%28x%20%2B%203%29%5D%28x%20-%201%29)
Factor out x + 2
The function has been completely factored and it has 3 linear factors
Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
Read more about functions at:
brainly.com/question/7784687
#SPJ1
Answer
<h2>
4</h2>
Step-by-step explanation:
Given,
r = 10
Let's create an equation,
plugging the value of r
Multiply the numbers
Move 5s to L.H.S and change its sign
Similarly, Move 30 to R.H.S and change its sign.
Calculate
The difference sign ( - ) should be cancelled on both sides
Divide both sides of the equation by 5
Calculate
The value of s is 4.
Hope this helps..
Best regards!!
Answer: f(g(x)) = x - 2
<u>Step-by-step explanation:</u>
f(x) = x + 2
g(x) = x - 4
f(g(x)) = f(x - 4) = (x - 4) + 2 <em>replaced x with x - 4</em>
= x - 2 <em>simplified</em>
