Answer:
Both have a negative slope.
Step-by-step explanation:
Because:
The equation has a negative slope (-2).
The table has a negative slope (-0.5):
(0,3). (2,2)
(X1, y1). (X2, y2)
M = y2-y1
_____
X2- x1
M = 2 - 3 -1
_____ = ___
2-0 2
Hope this helps! Have a great day!
By definition, a rational number is a precise number: or in other terms, we know its exact value. Irrational numbers are number that has endless digits on the right of the decimal points: in other terms, we can't know its exact value.
First question:
√2.5 = 1.58113.... It's endless, so irrational.
-√64 = -8 it's a whole number, so rational.
4√5 = 8.94427.... Endless, so irrational.
√14.4 = 3.7947... Endless so irrational.
So -√64 is the rational number.
Second:
7.885 is rational because has a defined number of digits after the decimal points.
π² = 9.8696.... Endless, so irrational.
√0.144 = 0.3794.... Endless, so irrational
√91 = 9.5393.... Endless, so irrational
So 7.885 is the rational number.
Third:
-7.8 bar: You can notice the line over the 8, this means that there's an infinite number of 8 after the decimal points. So it's 7.88888888888.... Endless, so irrational.
√25 = 5, whole number so rational
25.8125 Has a definite number of digits after the decimal point, so is rational.
√0.025 = 0.1581... Endless, so irrational.
So -7.8 bar and √0.025 are irrational.
Fourth:
π= 3.1415... Endless, so irrational.
1.425 has a definite number of digits after the decimal point, so rational.
√50 = 7.0710.... Endless, so irrational
√-4 Doesn't exist. Finding the square root of a negative number is mathematically impossible.
So 1.425 is the rational number.
Fifth:
√10 = 3.1622..... Endless, so irrational.
√100 = 10, a whole number so rational.
√1000 = 31.6227..... Endless, so irrational
√100000 = 316.2277...... Endless, so irrational.
√100 is the rational number.
Hope this helps!! :D And I hope you understood the lesson a bit more xD
Answer:
No
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation:
Let the number of hours be represented as h.
Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.
Mathematically ,
60 + 10.50h
Sally's surfboards does not charge a fee, but they cost $15.50 per hour
Mathematically,
15.50h
Equating both equations together
60 + 10.50h = 15.50 h
Collect like terms
60 = 15.50h - 10.50h
60 = 5h
h = 60/5
h = 12 hours
Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.
Sin = opposite/hyp
Sin A = 10/26 = 5/13
Sin b = 24/26 = 12/13
The answer is option A
Hope this helps
