Answer:
10 ≤ x - 4
Step-by-step explanation:
The center-radius form<span> of the </span>circle<span> equation is in the format (x – h)</span>2<span> + (y – k)</span>2<span> = r</span>2<span>, with the center being at the point (h, k) and the radius being "r". Therefore, the center is located at point (1, -3) and is located in the fourth quadrant, last option. Hope this answers the question.</span>
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Answer:
B 6 centimeters
Step-by-step explanation:
y = x + 2
2x + 3y = 36
substitute y = x+2 into the second equation
2x + 3 (x+2) = 36
distribute
2x + 3x+ 3*2 = 36
combine like terms
5x+6 = 36
subtract 6 from each side
5x +6-6 = 36 -6
5x = 30
divide by 5
5x/5 = 30/5
x = 6
the short side is x =6
the longer side is
y= x+2
y = 6+2
y =8
The answer to 1 is common multiple. And the answer to 2 is common denominator
