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2 answers:
Answer:
D
Step-by-step explanation:
We can't state that because we don't know if ∠NPK is 90º
Triangle KPN is similar to triangle KQN
It is the same case as the alternative a, we can't say the triangles are similar because we don't the angles for KPN. We know that LN is perpendicular to NP, but we don't if NP is perpendicular to PK, ∠NPK might be 89,9º, that is almost 90º.
KP = 0.5 LN
Once the four sides of the square are equal, LQ = QN. But from the picture we can only state that KP length is approximately the length of NQ (or 0.5 LN)
PN || KM
That's the correct answer! Once ∠QNP is 90º, PN is perpendicular to KM.
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Answer:
Step-by-step explanation:
Drop a height directly through the middle of the triangle, intersecting the base at a 90 degree angle. We form two right triangles and can use the Pythagorean theorem to solve for the hypotenuse.
The Pythagorean theorem states that for any right triangle, the following is true:
, where
and
are two legs of the triangle and
is the hypotenuse.
Therefore, we have the following equation (using the graph to measure the length of the two legs):
The other "tilted" side must be the same length. The base of the triangle can be measured using the graph - 10 units.
Therefore, the perimeter is
Answer: -3
Step-by-step explanation:
The average rate of change is . All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.