Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:
No
Step-by-step explanation:
Should start at -7 and move 9 units towards right (in the positive direction).
Should stop at 2
Answer:
A) False - not a right angle
B) True - it is a right angle
C) True - it is a right angle
D) False-not a right angle
Step-by-step explanation:
A) a*a+b*b=c*c (Asquared+Bsquared=C squared)
2*2+ 3*3 = 4*4
4+9=16
13 does not equal 16
B) 5*5+12*12=13+13
25+144=169
169=169 - True
C) 3*3+4*4=5*5
9+16=25
25=25 (True)
D) 4+ Root of 3 = Root of 19
False - square root of a prime number is irrational
Answer:
Your teacher is correct.
Step-by-step explanation:
So first we would have to find what A is equivalent to which is 48. This is because 180 - 132 = 48. Since we know that 132 is a supplementary angle, there has to be another supplementary angle that results in the sum of 180.
With this information in mind, we can create the expression:
2x + 4x + 48 = 180 (A triangle is equal to 180 degrees)
Now simply the equation:
6x + 48 = 180
6x = 132
6x/6 = 132/6
x = 22
Angle C = 44
Angle B = 88
36:8, 9:2, and 72: 16
Step-by-step explanation:
two ratios that are equivalent to 4:18
36:8, 9:2, and 72: 16
would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For
