The vertex of the equation is ( -2 , -2 )
The axis of symmetry is x= - 2
Answer:
12.6
Step-by-step explanation:
The answer is 12.6 and here is the explanation of using the Distributive Property. Because we are multiplying a whole number by a mixed number, we have to multiply the whole number by the whole number in the mixed number and then multiply the whole number by the fraction. In this case, we have 3 x 4 1/5. We multiply 3x4=12 first, and then we multiply 3x1/5 to get 0.6. 12+0.6=12.6. Hope it helps!
Answer:
x = 250°
Step-by-step explanation:
"Angle formed between a chord and tangent intersecting on a circle measure the half of the intercepted arc"
From the figure attached,
Angle between the chord and the tangent = 55°
Measure of intercepted arc (minor arc AB) = h°
Therefore, 55° = 

And m(minor arc AB) + m(major arc AB) = 360°
h° + x° = 360°
110° + x° = 360°
x° = 360° - 110°°
x = 250°
Therefore, measure of the intercepted arc is 250°.
So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:
x + 2x = 66
3x = 66
x = 22
That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.
Hope I helped!
Answer:
61 degrees
Step-by-step explanation:
==>Given ∆MNO,
MO = 18,
MN = 6
m<O = 17°
==>Required:
Measure of <N
==>SOLUTION:
Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c
Where,
Sine A = 17°
a = 6
Sine B = N
b = 18
Thus,
sin(17)/6 = sin(N)/18
Cross multiply
sin(17)*18 = sin(N)*6
0.2924*18 = 6*sin(N)
5.2632 = 6*sin(N)
Divide both sides by 6
5.2632/6 = sin(N)
0.8772 = sin(N)
sin(N) = 0.8772
N = sin^-1(0.8772)
N ≈ 61° (approximated)