Answer:
22.5 degrees
Step-by-step explanation:
90 = x + 3x
90 = 4x (divide by 4)
22.5 = x
22.5 + 67.5 = 90
Answer:
- The statement is <em>false</em>
- There is<em> no solution</em>
Step-by-step explanation:
Step 1: <em>Collect the like terms</em>
2x+7 = -8x-9+10x
2x+7 = 2x-9
Step 2: <em>Cancel</em><em> </em><em>equal</em><em> </em><em>terms</em><em> </em><em>of</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>equation</em>
2x+7 = 2x-9
7 = -9
Result: The statement is <em>false</em> and there is <em>no solution</em> as 7 is <em>not equal</em> to -9.
I hope this helped ! ;)
The standard equation of the circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...
so
30.
(x-2)^2+(y-7)^2=16
31.
We need to find the radius...(I'll just use the Pythagorean Theorem)
r^2=6^2+8^2
r^2=36+64
r^2=100 (so the radius is 10) and its center is (-6,-8) so
(x+6)^2+(y+8)^2=100
Answer:
Answer should be choice 4
Step-by-step explanation:
Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
