Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that 
In this case, 
Set that equal to 
:
Apply the exponent rule that 
so now you get:
Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6
Answer:
Step-by-step explanation:
Slope m = (-8-2)/(1+1)=-10/2 = -5
Perpendicular slope-1/m = -1/-5 = 1/5
Equation of a line with perpendicular slope is
y-y1=(-1/m)(x-x1)
y - 2 = (1/5)(x+1)
y =2 +(1/5)(x+1)
Answer:
1st. Add 5 each time so 5 times 12 = 60 so
5
10
15
20
25
30
35
40
45
50
55
60
2: H = 5M
Step-by-step explanation:
Answer:
150 for lower seats and 200 for higher seats
Step-by-step explanation:
Need two equations and then solve using substitution method:
Equation 1 for tickets sold:
$35x + $25y = $10,250
Equation 2 for quantity (number #) of tickets sold:
x + y = 350
Use substitution method:
y = 350 - x
35x + 25 (350 - x) = $10,250
35x + $8750 - 25x = $10,250
10x + $8750 = $10,250
- $8,750 -$8,750
10x = 1,500
x = 150
y = 350 - 150
y = 200
Check the answers:
$35 (150) + $25 (200) =
$5,250 + $5,000 = $10,250
Answer:
x = 17deg
Step-by-step explanation:
angle DCE = angle ACB (vertically opposite angles)
therefore,
x + 100 = 4x + 49
3x = 51
x = 17deg
