P(G) is 26/52
P(H) is 8/52
See the rest in the photo
Answer

Step-by-step explanation
You would use the pythagorean theorem for this problem. The point on the y-axis is 5 away from (0,0). The point on the x-axis is 3 away. You would square these, leading from
5+3 to
25+9=
Answer is
.
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 5/3, so the parallel line's slope is also 5/3
y = 5/3x + b
To find "b", plug in the point (3,6) into the equation
y = 5/3x + b
6 = 5/3(3) + b
6 = 5 + b
1 = b
y = 5/3x + 1
Answer:
Discriminant = 20
Step-by-step explanation:
We use formula to find the discriminant.
Discriminant (D) = b^2 - 4ac
The given equation is x^2 - 6x + 4 = 0.
Here the value of a = 1, b = -6 and c = 4.
Plug in the given values in the formula, we get
Discriminant (D) = (-6)^2 - 4*1*4
= 36 - 16
Discriminant = 20
Thank you.