total units of ration = 4 +7=11
so, ratio would be (4*33)/11 : (7*33)/11
12 : 21 is the answer.
Did you understand?
Answer:
∠ BAC = 80°
Step-by-step explanation:
The sum of the interior angles of quadrilateral ACDB = 360°
DB and DC are tangents to the circle, thus
∠ DBA = ∠ ACD = 90° ( angle between tangent/ circle at point of contact )
Thus
∠ BAC + 90° + 90° + 100° = 360°
∠ BAC + 280° = 360° ( subtract 280° from both sides )
∠ BAC = 80°
Answer: 
<u>Step-by-step explanation:</u>
The vertex form of a parabola is: y = a(x - h)² + k where
- (h, k) is the vertex
NOTE: p is the distance from the vertex to the focus
The vertex (h, k) is (2, -3)

Insert those values into the vertex formula to get:

Answer:
Step-by-step explanation:
First, lets simplify everything in the parenthesis.
(3×10^2 )×(2×10^−4 )=
In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.
(3 • 100) • (2 • 1/10^4)
Now, we can just multiply everything from left to right to get:
6*10^-2
Or
.06
1) Add x to -2x, which is -x
2) Subtract 3 to 5, which is 2
Answer) A