Answer:
Rewrite the expression 10(15 – 6) using the distributive property of subtraction.
A) 10(6) – 10(15)
B) 10(9)
C) 10(6 –15)
D) 10(15) – 10(6)
Show/Hide Answer
A) 10(6) – 10(15)
Incorrect. Here a greater number would be subtracted from a lesser number, and the answer would not be a whole number. The correct answer is 10(15) – 10(6).
B) 10(9)
Incorrect. The numbers in parentheses were subtracted before the number 10 could be distributed. The correct answer is 10(15) – 10(6).
C) 10(6 –15)
Incorrect. You probably used the commutative law instead of the distributive property. The correct answer is 10(15) – 10(6).
D) 10(15) – 10(6)
Correct. The 10 is correctly distributed so that it is used to multiply the 15 and the 6 separately.
Step-by-step explanation:
So if we have the number after the 36% increase in population, we would want to subtract that 36% from 51000.
36% of 51000 can be found by multiplying 51000 by 0.36 (0.36 is the decimal equivalent of 36%)
51000 x .36 = 18360
So you simply subtract 18360 from 51000, which is 32,640.
Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
Answer:
Let's solve for x.
2x−y=−5
Step 1: Add y to both sides.
2x−y+y=−5+y
2x=y−5
Step 2: Divide both sides by 2.
2x/2=y-5/2
Answer:
x=1/2y+-5/2
