Step-by-step explanation:
let eqn be y = mx + b.
2x + 9y = 8
9y = -2x + 8
y = -2/9 x + 8/9
since the lines are perpendicular, product of the slope of the two lines = -1.
hence,
m x -2/9 = -1
m = 9/2
sub (0, -3):
-3 = 9/2(0) + b
b = -3
therefore equation is: y = 9/2x - 3
Topic: coordinate geometry
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Answer:
40.80 km
Step-by-step explanation:
Given: AP (opposite)= 33 km
PB(adjacent)= 24 km
Now, finding the value of AB (hypotenous)
Using the pythagorean theoram to solve it.

⇒ 
⇒
⇒
Taking square root on both side, remember; 
⇒
∴ AB= 40.80 km
Answer:
A and D
Step-by-step explanation:
$45x +$50y =$2,500
Since you want to know how many men's shoes he must sell to make $2500 , plug 0 in for x pairs of women's shoes.
$45(0) + $50y =$2,500
0 + $50y =$2,500
$50y = $2,500
$50y/50= $2,500/$50
y = 50
He must sell 50 pairs of men's shoes to still earn his weekly income of $2,500
Check
$45(0) + $50(50) = $2,500
$0 + $2500= $2,500
$2500 = $2500
Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.
To graph this , first we make the absolute function alone
|x + 1| + 2 > 5
to make absolute function alone we subtract 2 from both sides
|x + 1| > 3
x+1 inside the absolute function . so x=-1
From -1, move 3 units to the right and 3 units to the left.
For x>2 , shade the graph to the right
For x< -4, shade the graph to the left
The graph is attached below
The solution to the inequality is x<-4 and x>2