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.
Given:
The pairs of angles are:
36°,24°
18°,72°
96°,84°
To find:
Whether each pair of angle measurements are complementary, supplementary or neither.
Solution:
Two angles are complementary if there sum is 90 degrees.
Two angles are supplementary if there sum is 180 degrees.
For 36° and 24°,
So, this pair is neither complementary not supplementary.
For 18° and 72°,
So, this pair is complementary.
For 96° and 84°,
So, this pair is supplementary.
SInce you need 1.5 feet of overhang, add 3 feet to each axis dimension 1.5 on each side):
Minor Axis = 18 + 3 = 21 feet
Major axis = 25 + 3 = 28 feet
The area of an ellipse is found by multiplying half the minor axis by half the major axis by PI.
1/2 minor axis = 21 / 2 = 10.5
1/2 major axis = 28 / 2 = 14
Using 3.14 for PI
Area = 10.5 x 14 x 3.14 = 147 x 3.14 = 461.6 sq ft
Answer:
1
Step-by-step explanation:
To complete the square, first you must make sure that the coefficient of the x^2 term is 1. Here you have x^2 - 2x - 37 = 0. Since the x^2 term is simply x^2, you do have a coefficient of 1 for the x^2 term.
To find the number you need to add to complete the square, take the coefficient of the x term. Divide it by 2. Then square it.
The x term is -2x. The coefficient of the x term is -2.
Take half of -2 which is -1.
Now square -1 to get 1.
You need to add 1 to complete the square.
brainliest?!?!yes
Answer:
the possible amounts that he will spend is $29-$15=$14
