<span>6a+14=-7-a
you simplify the equation to the form, which is simple to understand
<span>6a+14=-7-a
you move all terms containing a to the left and all other terms to the right.
<span>+6a+1a=-7-14
you need to simplify left and right side of the equation.
<span>+7a=-21
you divide both sides of the equation by 7 to get a.
<span>a=-3</span></span></span></span></span>
Answer:
D
Step-by-step explanation:
First put the data from smallest to largest
12 points, 17 points,21 points, 23 points, 24 points, 28 points,29 points
The left end of the whisker should be 12 (This eliminates graph a)
The right end of the whisker should be 29 (This eliminates graph b)
There are 7 points
The middle point is 4
The 4th point is 23
That is the line in the middle of the box (This eliminates graph c)
The lower line of the box is at at point 2 = 17
The upper line of the box is at point 6 = 28
This leaves us with graph D
We will have the following:
*First: We determine the translation rule:
We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

Second: We apply the translation rule to the other point to determine it's image, that is:

So, the image of the second point is (5, 6).
Answer:
<em>3 seconds</em>
Step-by-step explanation:
Complete question:
<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>
<em></em>
Given the height of an object modelled by the expression;
<em>h(t)=144-16t²</em>
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>