Answer:
The coordinates of the center of the hyperbola are (1,-3)
Step-by-step explanation:
Equation of a hyperbola:
The equation of a hyperbola with center
is given by:

In this question, we have that:


The coordinates of the center of the hyperbola are (1,-3)
8x+15 = 2x+39
8x =2x+24
6x = 24
x = 24/6 = 4
angle 4 = 2(4) +39 = 8+39 = 47
angle 6 = angle 4
angle 6 = 47 degrees
Step-by-step explanation:
a)
Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

b)
Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

Answer:
(x+2)(x+8)
Step-by-step explanation:
1.)find factors of the third expression(16)that will add up to give the second expression(10)
16=2×8. 10=2+8
2.)substitute those factors inplace of 10


3.)factorise using grouping method



Answer:
Step-by-step explanation:
Problem One
Blue = 5
Black =2
Red = 3
First of all there are 10 marbles, 2 of which are black.
That means that 8 others are not black
You can draw any one of the 8.
P(not black) = 8/10 = 4/5
Problem Two
There are 10 marbles in all
3 of them are red.
P(Red) = 3/10