Answer:
afb= 90
cfd= 62
Step-by-step explanation:
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
P(yellow or red) =8/15
Step-by-step explanation:
There are 15 marbles, 3 green, 4 blue, and 5 red marbles.
3+4+5 = 12
That means there are 15-12 = 3 3 yellow marbles.
3 green,
4 blue
5 red
3 yellow
To find the probability of yellow or red, we add the number of yellow and red marbles together over the total number of marbles
P(yellow or red) = (yellow +red)/ total
= (3+5)/ 15
=8/15
Step-by-step explanation:
Since, x=8 and x=-5 are the roots.
Therefore, (x - 8) & (x - 5) will be factors.
Hence, required quadratic equation can be given as:
A rational number is any number that can be represented as a fraction. (7=7/1 or 52 = 26/1 ).
An irrational number is a number like 3.14159 (pi) or anything like that.
