Answer:
m less-than-or-equal-to 28
Step-by-step explanation:
Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...
3 +1.50m ≤ 45
1.50m ≤ 42 . . . . . . subtract 3
m ≤ 28 . . . . . . . . . .divide by 1.5
We know that
the unit circle has a radius equals 1 unit
-120°------> is an angle belong to the III quadrant
so
the x and y coordinates will be negative
x=r*cos ∅
y=r*sin ∅
where
r=1
and
∅=180-120-----> ∅=60°
therefore
x=(1)*cos 60°-----> x=1/2-----> x=-1/2 (remember x is negative)
y=(1)*sin 60°-----> y=√3/2-----> y=-√3/2 (remember y is negative
<span>let's apply the Pythagorean theorem
</span>x²+y²-----> (-1/2)²+(-√3/2)²----> (1/4)+(3/4)-----> 1----> is ok because 1 is the radius of the unit circle
the answer is
the coordinates of the terminal point are (-1/2,-√3/2)
15n power 4 - 5n power 3 + 40n
Let x and y be the two numbers.
x = y - 4
2y = 5x - 10
solve the system of equations:
2y = 5(y - 4) - 10
2y = 5y - 20 - 10
-3y = -30
y = 10
x = 10 - 4 = 6
Answer:
The new sum have degree = 5
The maximum number of terms of the sum is 6, but it could be less.
Step-by-step explanation:
Given :
Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.
Let the polynomial:
Next, Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2.
The polynomial is:
Now, adding both polynomials we have:
→ The new sum have degree = 5
→ The maximum number of terms of the sum is 6, but it could be less.