Answer:
Step-by-step explanation:
9/16=x/12
cross product
16x=9*12
16x=108
x=108/16
simplify
x=27/4
---------------
x-3/18=12/9
x=12/9+3/18
x=24/18+3/18
x=27/18
x=3/2
--------------------
7/11=18/x+1
18/x=7/11-1
18/x=7/11-11/11
18/x=-4/11
x=18/(-4/11)=(18/1)(-11/4)=-198/4=-99/2
x=-99/2
Answer:
B) H
Step-by-step explanation:
Notice that a regular hexagon has a <em>six-fold rotational symmetr</em>y.
Every time you rotate it about its centre by one-sixth of a circle (60°), you map a vertex onto the one next to it.
If you rotate the hexagon 300° counterclockwise, that is equivalent to rotating it 60° clockwise.
When you rotate the hexagon 60° clockwise (one-sixth of a circle),
Point N maps onto point H.
Answer:
98,123
Step-by-step explanation:
You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36
36 = 9x² + 4y²
(1/36)[36 = 9x² + 4y²]
1 = x²/4 + y²/9
a² = 4
a = 2
and
b² = 9
b = 3
To find the slope, divide a/b and you will get 2/3.
Answer:
<em><u>In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.[1] As such, these points satisfy x = 0.</u></em>
