Answer:
D. -1/2
Step-by-step explanation:
When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.
So -1/2 is the slope of your perpendicular line.
Answer:

Step-by-step explanation:
Given

Required
Simplify
In indices, we have:

So:


Answer:
m<BDC = 62 degrees
Step-by-step explanation:
Using the expression;
<ABC = <ABD + <DBC
107 = 7x-4 + 9x - 1
107 = 16x-5
16x = 107 + 5
16x = 112
x = 112/16
x = 7
Get m<DBC
m<BDC = 9x - 1
m<BDC = 9(7)-1
m<BDC = 63 - 1
m<BDC = 62 degrees
Answer:
0.99
Step-by-step explanation:
Given,
Pink gumballs = 3,
Red gumballs = 4,
Green gumballs = 2,
So, total gumballs = 3 + 4 + 2 = 9,
Thus, total ways of selecting 5 gumball = 




Also, the total ways of selecting no red gumballs = 
= 1 × 1
= 1
So, the probability of no red gumballs in 5 drawn

Hence, the probability that a red gumball is drawn if there are 5 drawings
= 1 - probability of no red gumballs


≈ 0.99