Answer:
15 integers
Step-by-step explanation:
To find the number of integers count from -6 to 10
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8,9
that is 15 integers
Answer:
Step-by-step explanation:
sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) – sin2(x) = 1 – 2 sin2(x) = 2 cos2(x) – 1. Now I am not sure if this is right but I remember another similar formula. Here is the correct formula cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
cos² x + sin² x = 1
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
Answer:
C. (x+3)^2 + (y-2)^2 = 225
Step-by-step explanation:
The equation of the circle is (x-h)^2 + (y-k)^2 = r^2
h=-3, k=2 and r=15
(x-(-3))^2 + (y-2)^2 =15^2
(x+3)^2 + (y-2)^2 = 225
