Answer:
QR is tangent to circle P at point Q
=> RQP = 90 deg
=> RQP is right triangle.
=> Applying Pythagorean theorem for right triangle RQP:
QP^2 + QR^2 = RP^2
=>4^2 + QR^2 = RP^2
=> Option A is correct.
(4^2 + (4*
)^2 = 16 + 48 = 64 = 8^2)
=> Option C is correct.
(4^2 + 3^2 = 16 + 9 = 25 = 5^2)
=> Option D is correct
(4^2 + 2^2 = 16 + 4 = 20 = (2
)^2)
Hope this helps!
:)
Answer:
Yes
Step-by-step explanation:
If the next expands by a factor of 4, all the sides will be 4 times as big. This means that the area expands with 4x4 = 16, and the volume with 4x4x4=64.
It would be $196/4months which should be $49 a a month for 4 months.
<h3>
Answer: y = 5</h3>
==============================================================
Explanation:
For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.
This means AC = BD.
Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations
We'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.
---------------
By the segment addition postulate, we know that
BP+DP = BD
(-2x+23)+(3y-6) = BD
BD = -2x+3y+17
Since the diagonals are equal, we also know that AC = -2x+3y+17
We are given that AC = 2x+4
Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17
---------------
The conclusion of each the last two sections was the following two equations
- -2x+23 = 3y-6
- 2x+4 = -2x+3y+17
We have two equations and two unknowns. We have enough info to be able to find x and y.
Let's isolate 3y in the first equation
-2x+23 = 3y-6
3y-6 = -2x+23
3y = -2x+23+6
3y = -2x+29
Then we can plug this into the second equation
2x+4 = -2x+3y+17
2x+4 = -2x+(3y)+17
2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29
Now solve for x
2x+4 = -2x+(-2x+29)+17
2x+4 = -2x-2x+29+17
2x+4 = -4x+46
2x+4x = 46-4
6x = 42
x = 42/6
x = 7
We then use this to find y
3y = -2x+29
3y = -2(7)+29
3y = -14+29
3y = 15
y = 15/3
y = 5
The answer is A, use the vertical line test: if there is a vertical line that passes through the graph more than once it is not a function
