Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope
so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2
perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2
y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b
so the equation is
y=-2x-3
your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation
so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
3.25 can be re-written as;
=3+0.25
Converting the decimal to a fraction gives;
3+
=Simplify the fraction;
3+
The final answer is;
3
Answer:
Should be 3
Step-by-step explanation:
To add the fractions find the LCD then combine
Answer:
The probability is 10/121
Step-by-step explanation:
In this question, we are tasked with calculating probability.
The probability to be calculated is that we have an ordered selection of picking a red marble after which we pick a yellow marble.
Firstly let us know the total number of marbles we have. That will be 4 + 5 + 2 = 11 marbles
Probability of picking a red marble will be 5/11 while the probability of picking a yellow marble will be 2/11
Now, the probability of picking a red marble before a yellow marble will be mathematically equal to; P(r) * P(y) = 5/11 * 2/11 = 10/121
