3.50x + 5 < 30
Ellie wants to spend less than 30, so it’ll be less than.
Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:
Answer:
w > -14
Step-by-step explanation:
Divide both sides by -6.
-6w/-6 = w
84/-6 = 14
Since it's an equality, if the coefficient of the variable is negative, when you divide the sign flips to the opposite.
Answer:
(x + 3)^2 + (y - 2)^2 = 9
Step-by-step explanation:
<u>Equation for a circle: (x – h)^2 + (y – k)^2 = r^2</u>
<u />
<u>Step 1: Determine what h, k, and r are</u>
<em>h is the x value of the point: -3</em>
<em>k is the y value of the point: 2</em>
<em>r is the radius of the circle: 3</em>
<u>Step 2: Plug in and solve</u>
(x – h)^2 + (y – k)^2 = r^2
(x – (-3))^2 + (y – (2))^2 = (3)^2
<em>(x + 3)^2 + (y - 2)^2 = 9</em>
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Answer: (x + 3)^2 + (y - 2)^2 = 9