Mike is biking to catch up with his sister who is already 1200 yards ahead of him. If he bikes at a speed of 600 yards per minut
2 answers:
Answer:
8 minutes.
Step-by-step explanation:
Let m represent number of minutes.
We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.
So total distance covered by Mike's sister after m minutes would be .
Mike bikes at a speed of 600 yards per minute, so total distance covered by Mike in minutes would be .
Now, we will equate both expressions to find minutes at which both distances will be equal as:
Therefore, it will take after 8 minutes for Mike to catch his sister.
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Answer:
45 square units.
Step-by-step explanation:
Applying the pythagoras theorem:
Base of the bigger triangle = =
= 12 units
Area of a triangle is given by × base × height
The area of the bigger triangle is × 12 × 9 = 54 square units.
The area of the smallest triangle is × (12 - 10) × 9 = 9 square units.
The area of the figure( required triangle) is 54 - 9 = 45 square units.
Answer: First Option
a) exponential function going through point (0, 2) and ending up on the right
Step-by-step explanation:
Look at the attached image, the red line represents a function of the form:
Note that this function cuts to the axis and at the point (0, 1)
Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.
If we perform the transformation then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)
The transform function is
Finally the answer is the first option
