Answer:
y=x-4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
m = (1--9)/(5--5)
m = (1+9)/(5+5)
= 10/10
= 1
The slope is 1
We have the slope and a point,so we can use point slope form
y-y1 = m(x-x1)
y-1 = 1(x-5)
y-1 = x-5
Add 1 to each side
y-1+1 = x-5+1
y=x-4
This is slope intercept form (y= mx+b)
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
9
Step-by-step explanation:
let a = 2
b = 5
2a + b
Substituting the values,
=> 2(2) + 5
=> 4 + 5
=> 9
Answer: $638.40
Step-by-step explanation:
45% converted to a decimal is 0.45
0.45 of $1200 = 0.45* $1200 (of in this case means multiply)
0.45 * $1200= $440
Because they said 11% of remaining salary, we have to do:
$1200-$440=$760
Now 11% converted to a decimal is 0.11
5% converted to a decimal is 0.05
So 0.11+0.05
0.11+0.05= 0.16
Now 0.16 *$760=$121.60
Now we find the remaining amount so we subtract: $760-$121.60= $638.40
So our answer is $638.40 left
