Answer: A) 0 triangles
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Explanation:
Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2
For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.
I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.
As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.
In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm
I don’t see how any of them couldn’t but best bet B
Answer:
C(h) = 1+.25h
Step-by-step explanation:
Total cost = flat fee plus .25 times h ( where h is the number of hours)
C(h) = 1+.25h
At 2:30, they are 70 miles away, at 2:45, they are 55 miles away.
That means, in 15 minutes, they traveled 15 miles....thats 1 mile per minute.
so 2:45....55 miles away...at 1 mile per minute = 2:45 + 55 minutes =
3:40. <== when they arrive at Grandma's house.
3:40 - 1:00 = 2:40.....it took 2 hrs and 40 minutes for the trip....thats 120 + 40 = 160 minutes <== =so the family lives 160 miles from Grandma's house
First of all let x-1=0
x=1
Therefore,
P(x)=2x^4+4x^3-7x^2-kx+9
P(1)=2(1)^4+4(1)^3-7(1)^2-k(1)+9
2(1)+4(1)-7(1)-k+9=0
2+4-7-k+9=0
15-7-k=0
8-k=0
-k=-8
Therefore,k=8