Answer:
43cm
Step-by-step explanation:
use the pythagorean theorem:
a² + b² = c²
25² + 35² = c²
625 + 1225 = c²
1850 = c²
√1850 = c
43 cm = c
your a, b and c values depend on where the values are on the triangle.
Answer:
Increasing on it's domain 
because the slope is positive.
The domain and range are both all real numbers, also known as
.
Step-by-step explanation:
All domain really means is what numbers can you plug in and you get number back from your function.
I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.
The domain is all real numbers.
In interval notation that is .
Now the range is the set of numbers that get hit by y=3x+2.
Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.
If slope is positive, then the line is increasing.
If slope is negative, then the line is decreasing.
So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is .
Answer: No solution
Step-by-step explanation:
Perimeter= 2(length) + 2(width)
If they have the same perimeter than we can write their values as an equation like this:
2(10) + 2x = 2(6) + 2(x + 3)
20 + 2x = 12 + 2(x+3)
DISTRIBUTE THE 2 TO THE X AND THE 3
20 + 2x = 12 + 2x + 6
COMBINE LIKE TERMS
20 + 2x = 18 + 2x
SUBTRACT 2X FROM BOTH SIDES
20 = 18
<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>
Answer:
f(3) = 6
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>
f(x) = 1/3x + 5
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 1/3(3) + 5
- Multiply: f(3) = 1 + 5
- Add: f(3) = 6
You would do 6.4/1.6 because big should come first or the number will change
