Answer:
x=-3
Step-by-step explanation:
If a parabola has a vertex at (h,k), the axis of symmetry is at the point, x=h.
That is, <u>the x-coordinate of the vertex of the given parabola is the axis of symmetry.</u>
Therefore, for a parabola with vertex (-3,2), the axis of symmetry is at x=-3
The radius of the circle and the tangent to the circle form a right angle so we have a right triangle.
Since our triangle is right we can apply the Pythagorean Theorem to find x.
8^2. =6^2 + x^2
X^2= 64-36
x= sqrt 28= 2 sqrt 7 ~ 5.30
77/200 is 0.385 as decial
Given:
The figure of a right angle triangle.
To find:
The length of the line segment AC.
Solution:
In a right angle triangle,
In the given right triangle ABC,
On further simplification, we get
The length of side AC is equal to 10.5 m .
Therefore, the correct option is A.
9514 1404 393
Answer:
22/44
Step-by-step explanation:
The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...
P(black) = (black cards)/(total cards)
P(black) = 22/44
_____
You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.
