Answer:
Zero
Step-by-step explanation:
Simplifying
12x + 1 = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(1 + 4x) + -2
1 + 12x = (1 * 3 + 4x * 3) + -2
1 + 12x = (3 + 12x) + -2
Reorder the terms:
1 + 12x = 3 + -2 + 12x
Combine like terms: 3 + -2 = 1
1 + 12x = 1 + 12x
Add '-1' to each side of the equation.
1 + -1 + 12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
0 + 12x = 1 + -1 + 12x
12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
12x = 0 + 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Using a linear function, it is found that the product rs is rs = 81.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:
m = -16/64 = -0.25.
Hence:
y = -0.25x + b.
When x = 34, y = -4, hence this is used to find b.
-4 = -0.25(34) + b
b = 4.5.
Hence the function is:
y = -0.25x + 4.5.
f(r) = 0, hence:
-0.25x + 4.5 = 0
x = 4.5/0.25
x = 18
r = 18.
f (0) = s, hence s = 4.5.
Then the value of the product is:
rs = 18 x 4.5 = 81.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides
(11)
given 2 sides 2, 6 , then
6 - 2 < x < 6 + 2
4 < x < 8
(12)
Given 2 sides 4, 12 , then
12 - 4 < x < 12 + 4
8 < x < 16
(13)
Given 2 sides 2, 11 , then
11 - 2 < x < 11 + 2
9 < x < 13
Answer=16ft
√256=16ft
length=16ft
Answer:
The perimeter is 43.6 cm
Step-by-step explanation:
In this question, we are tasked with calculating the perimeter of the sector.
Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.
Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius
Let’s calculate the length of the arc.
Mathematically, this is theta/360 * 2 * pi * r
where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm
Thus, we have
135/360 * 2 * 22/7 * 10 = 23.57 cm
Adding two radii to this, we have;
23.57 + 2(10)
= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place
