Answer:
15<x<27
Step-by-step explanation:
Rule for the sides of a triangle:
The sum of the two smallest sides of a triangle must be greater than the biggest side.
In this question:
Sides of 6, 21 and x. We have to find the range for x.
If 21 is the largest side:
Two smallest are 6 and x.
x + 6 > 21
x > 21 - 6
x > 15
If x is the largest side:
Two smallest and 6 and 21. So
21 + 6 > x
27 > x
x < 27
Then
x has to be greater than 15 and smaller than 27. So the answer is:
15<x<27
//To have the lines parallel, the gradients must be the same.
y -- 6 = 1/2 (x - 9)
y + 6 = 1/2 x -9/2
y = 1/2 x - 10.5
Answer:
-2x² - 5x + 16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(-10x² + 9) + (8x² - 5x + 7)
<u>Step 2: Simplify</u>
- Combine like terms (x²): -2x² + 9 - 5x + 7
- Combine like terms (Z): -2x² - 5x + 16
Answer:
yes
Step-by-step explanation:
indeed
The idea is to use the tangent line to 
at 
in order to approximate 
.
We have
so the linear approximation to 
is
Hence 
and 
.
Then
