So just plug in the numbers (x,y) into the equations.
A) (7.5, -5)
2(7.5) -5 = 10
15 - 5 = 10 yup, this works.
Let's see if it works for other equation.
-2(7.5) + 2(-5) = 5
-15 - 10 = 5 nope, this does not work.
B) (-2.5, -5)
2(-2.5) - 5 = 10
-5 - 5 = 10 nope, doesn't work
Since it doesn't work we don't need to try for other equation.
C) (2.5, 5)
2(2.5) + 5 = 10
5 + 5 = 10 yup, this works.
Now the other equation.
-2(2.5) + 2(5) = 5
-5 + 10 = 5 and this works.
So the solution to this set is answer choice C
Answer:
6. -2.5 + 3 = 0.5
Part B. -2.5 + x = y
4. a. Yes
b. No
c. No
d. Yes
1. C. -1/8 points
3. a. -3.7 + 8 = positive number 8 = a. 4/3 = d.
b. -8 - 1/1/3 = negative number -8 = b, c. -5 = b, d.
c. -8 + 8 = 0 -4.9 = b, d. -5.4 = b, d.
d. -4.52 + -4.9 = negative number 3.8 = a, d. 3.86 = a, d.
Step-by-step explanation:
Those are the correct answers.
Step-by-step explanation:
Given: diameter = 16 in
hence radius, r is 16 ÷ 2 = 8 in
a) notice that the fan blades divide the circle into 3 equal sectors.
Each sector is hence 1/3 of the entire circumference of the circle
Arc Length of each sector (between blades),
= (1/3) x circumference
= (1/3) x 2πr
= (1/3) x 2 x 3.142 x 8
= 16.76 in (Answer)
b) similarly, the area between the blades
= (1/3) x πr²
= (1/3) x 3.142 x 8²
= 67.03 in² (answer)
c) The angular velocity is the radians per second that the tip moves
It is given that it moves 8π radians in 2 seconds
hence in 1 second, we expect the tip to move,
8π ÷ 2 = 4π rad/s (Answer)
Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
