Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h
1 answer:
Answer: c. elm
Step-by-step explanation:
Given : The circumference of the oak tree= 0.539 meters
= [∵ 1 m = 100 cm] (1)
The circumference of the ash tree= 0.509 yards
[∵ 1 yard = 3 feet]
[∵ 1 foot = 30.48 cm]
(2)
The circumference of the elm tree = 6281.70 millimeters
(3)
The circumference of the poplar tree = 0.000385 miles
[∵ 1 mile = 5280 feet]
[∵ 1 foot = 30.48 cm]
(4)
From (1) , (2) , (3 ) and (4) it is clear that
46.54< 53.9 < 61.96 < 628.17
Hence, the elm tree has the greatest circumference.
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1) From the data, we can see that
is given.
2) Next,
since they are alternate angles.
3) By substitution, these means that
4) Finally, a || b since
this is because, angle 7 and angle 8 are corresponding angles.
Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6
4 and 8, 1 and 5, 3 and 7
In our case, 7 and 8 are corresponding angles
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9