A) 45 mins
each big square represents 15 mins
b) 100km/h
speed= distance/time so it would be 50km/0.5h= 100km/h
Hope this helps! :)
Answer:
- PQRS - a parallelogram
- GHJI - not necessarily
- RSUT - a parallelogram
- ABDC - a parallelogram
Step-by-step explanation:
A parallelogram has these characteristics that can be useful for answering this question:
- opposite sides are the same length
- opposite sides are parallel
- the diagonals bisect each other
__
<h3>PQRS</h3>
Opposite sides are the same length: a parallelogram
__
<h3>GHJI</h3>
Two isosceles triangles share a base segment. Not necessarily a parallelogram.
__
<h3>RSUT</h3>
The diagonals bisect each other: a parallelogram
__
<h3>ABDC</h3>
Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.
Answer:
D) 3x^2 - 12
Step-by-step explanation:
Using PEMDAS;
There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.
We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.
Evaluating "- (-2x^2+4)":
Step 1: Distributing the negative
Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.
Step 2: Consider the rest of the equation to evaluate
Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.
Thus,
x^2 -8 + 2x^2 - 4 = ___
*we can remove the parenthesis as it has no purpose, since it makes no difference.
Evaluating for the answer, we get,
x^2+2x^2 + (-8 - 4) = 3x^2 - 12
Hence, the answer is D) 3x^2 - 12.
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