The equation showing the relationship between w and t is
From the table, we have the following points:
(0,0) and (1,4)
Start by calculating the slope (m)
So, we have:
Simplify the numerator and the denominator
Divide 4 by 1
The equation is then calculated as:
This gives
Simplify
Hence, the equation is
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Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
Take positive square root of both sides
Split:
Recall that the side length (l) is rational.
However, is irrational.
So, the product of l and will be irrational
Hence:
The diagonal is irrational
Answer:
1. 15
2. -23
3. -16
Step-by-step explanation:
1. Find h(-8)
h(t) =
h(-8) =
h(-8) =
2. What is the value of g(-3)
g(x) = 4(x - 5) +
g(-3) = 4(-3 - 5)
g(-3) = 4(-8) + 9
g(-3) = -32 + 9
g(-3) = -23
3. Find f(10)
f(x) = 14 - 3x
f(10) = 14 - 3(10)
f(10) = 14 - 30
f(10) = -16