Answer:
The y-intercept is the point (0,2)
see the attached figure
Step-by-step explanation:
we have
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
substitute in the equation and solve for y
therefore
The y-intercept is the point (0,2)
using a graphing tool
see the attached figure
Answer:
D) 3.8 cm
Step-by-step explanation:
There are several ways this problem can be solved. Maybe the easiest is to use the Law of Cosines to find angle BAC. Then trig functions can be used to find the length of the chord.
__
In triangle BAC, the Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
A = arccos((b² +c² -a²)/(2bc)) = arccos((8² +6² -3²)/(2·8·6)) = arccos(91/96)
A ≈ 18.573°
The measure of half the chord is AB times the sine of this angle:
BD = 2(AB·sin(A)) ≈ 3.82222
The length of the common chord is about 3.8 cm.
_____
<em>Additional comment</em>
Another solution can be found using Heron's formula to find the area of triangle ABC. From that, its altitude can be found.
Area ABC = √(s(s-a)(s-b)(s-c)) . . . . where s=(a+b+c)/2
s=(3+8+6)/2 = 8.5
A = √(8.5(8.5 -3)(8.5 -8)(8.5 -6)) = √54.4375 ≈ 7.64444
The altitude of triangle ABC to segment AC is given by ...
A = 1/2bh
h = 2A/b = 2(7.64444)/8 = 1.911111
BD = 2h = 3.822222
Answer:
Step-by-step explanation:
Here's analyses of the other options:
Option A. You can clearly see that is not defined for , so the function doesn't have the same domain as that of , hence can't be the answer.
Option C. By the definition of absolute value, we know that , this is the same function, hence not the answer.
Option D. This is just shifted one unit to the right, not flipped.
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Answer:
5, 20 - 52 = x
6, x - 27 = 5
7, 4 + x = 6
8, 14 - x = 29
9, x - 54 = 12
10, x + 25 = 40
Step-by-step explanation:
hope this is what u wanted.
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Answer:
6/7
Step-by-step explanation:
i watched a video