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Step-by-step explanation:
<h3>Given</h3>
- Side 1: 3x² - 2x - 1
- Side 2: 9x + 2x² - 3
- Perimeter: 5x³ + 4x² - x - 3
<h3>Part A</h3>
Sum of side lengths 1 and 2
- 3x² - 2x - 1 + 9x + 2x² - 3 =
- 5x² + 7x - 4
<h3>Part B</h3>
The perimeter is the sum of all three sides.
<u>The length of the third side is</u>
- P - (side 1 + side 2) =
- 5x³ + 4x² - x - 3 - (5x² + 7x - 4) =
- 5x³ + 4x² - x - 3 - 5x² - 7x + 4 =
- 5x³ - x² - 8x + 1
Part A - addition
Part B - subtraction
● Answer:
6.25 km
● Step-by-step explanation:
Hi there !
4 cm ........... 5 km
5 cm ........... x km
x = 5cm×5km/4cm
= 25km/4
= 6.25 km
Good luck !
Answer:
y = -3x - 11
Step-by-step explanation:
Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.
Point-slope formula: y - y = m(x - x)
Plug in the slope and point
y - (-5) = -3(x - (-2))
Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.
y + 5 = -3x - 6
Subtract the 5 from both sides
y = -3x - 11
The equation of the line is y = -3x - 11
Answer:
C. 
Step-by-step explanation:
Given: 
To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.
So since x is greater than zero, we have just found out our domain:
Interval Notation: (0, ∞)
Set Notation: {
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