Answer:
MOP=33
Step-by-step explanation:
MOP + MON = NOP
Substitute what we know
MOP = 3x-3
MON = 4x+9
NOP = 90 right angle
3x-3+4x+9 = 90
Combine like terms
7x+6 =90
Subtract 6 from each side
7x+6-6=90-6
7x = 84
Divide each side by 7
7x/7 = 84/7
x =12
We need to find MOP
MOP = 3x-3
=3(12)-3
36-3
33
Answer:
y = -1/3x + 2
Step-by-step explanation:
y = -1/3x + b
insert the x-intercept to find b
0 = -1/3(6) + b
0 = -2 + b
b = 2
y = -1/3x + 2
Answer:√5 - √2
Step-by-step explanation:
= √(5 + 2 - 2√10 )
= √{(√5)² +(√2)² - 2.√5.√2}
= √(√5 - √2)² (by identity a² + b² -2ab = ( a-b)²)
= √5 - √2
Answer:
The current price index number is $604.2.
Step-by-step explanation:
The index value is the ratio between the current value and the reference value, multiplied by 100.
In this problem, we have that:
Current value = $3.48
Reference value: $0.576
Index price = (3.48/0.576)*100 = $604.2.
The current price index number is $604.2.
Answer:
55/64
Step-by-step explanation:
convert mixed number into improper fraction
11/8×5/8
multiply the fractions
11/8×5/8
11×5=55
8×8=64
Answer: 55/64