Answer:
A = 50°
B = 60°
C = 70°
Step-by-step explanation:
If we draw a line from each vertex through the center of the circle, we perpendicularly bisect the line joining the adjacent tangent points.
We then know the original angle is halved and the remaining angle of each right triangle is complementary to half the original.
Now we can subtract the known angles along each line of the original side to find the remaining angle
Answer: B
Step-by-step explanation:
It is one sided test of R-squared being zero versus being greater than zero.
These are the steps of the test.
1. State the null and alternative hypothesis: ...
2. Compute the test statistic: ...
3. Find a (1 - 0.05)×100% confidence interval for the test statistic. ...
4. Decide whether to accept or reject the null hypothesis: 5.991 ∉ [0, 2.28], so reject H 0 .
5. Determine the p-value.
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
Answer:
Step-by-step explanation:
So we have the system:
If we isolate the x-variable in the first equation:
Subtract 2y from both sides:
Divide both sides by -1:
Therefore, we would substitute the above into the second equation:
The answer is 2y+6
Further notes:
To solve for the system, distribute:
Simplify:
Subtract:
Divide:
Now, substitute this value back into the isolated equation:
