Answer:
draw the same shape but multiply all the sizes to be bigger or smaller
Answer:
Step-by-step explanation:
Given the fraction
Multiplying numerator and denominator by 5
Therefore,
Similarly,
Given the fraction
Multiplying numerator and denominator by 2
Therefore,
Answer:337.5 miles
Step-by-step explanation:
Find the unit rate 135/6 = 22.5/1
He can drive 22.5 miles on 1 gallon of gas
Then multiply by 15
22.5x15= 337.5
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
Answer:
Vertical
Step-by-step explanation:
Vertical line crossing the x-axis at 6. It does not cross the y-axis.
