Y=-2x+5
The standard form is y=mx+b, since m is the slope you would put -2 in substitute for it and since (0,5) has a zero as the x and a number as the y that gives you the b which is the y-intercept.
The question is probably incomplete. What i am assuming is that the person might ask for the previous ratio or the total number of pens and pencil in the drawer.
So if it is the previous ratio it obviously would be 47 - 5 : 17 -3 so 42 : 14 and in case he or she is asking for the total number of pens and pencils in the drawer before so they were 42 + 14 hence 56.
Answer:
3/2
Step-by-step explanation:
Just use the slope formula to find the slope m.
Answer:
B. 33
Step-by-step explanation:
The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...
x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2
x = 33
_____
The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent
Using these relations, we can find the sides of interest:
Opposite = Hypotenuse × Sin . . . . for the 45° triangle
Opposite = Adjacent × Tan . . . . . . for the 60° triangle
where the side opposite the 45° angle is the side adjacent to the 60° angle.
The shaded area's Fraction= 21/100 and Decimal = 0.21.
<u>Step-by-step explanation:</u>
When an area is divided into multiple smaller regions ( smaller squares ) is called parts.
In case of Squares, it can be divided into either rows or columns, sometimes both.
Form the given diagram, the square consists of 10 rows and 10 columns which makes 100 (10×10) parts in it.
One fraction is obtained by dividing it by the total number of parts.
In this square, 21 shaded fractions are given.
∴ The fraction of shaded Area = 21/100.
Decimal of shaded Area=0.21.
