Answer:
x = 3
Step-by-step explanation:
4 ( x - 7 ) = -6x + 12
→ Expand brackets
4x - 28 = -6x + 12
→ Add 6x to both sides
10x - 28 = 12
→ Add 28 to both sides
10x = 30
→ Divide both sides by 10
x = 3
Assuming you mean y = 200 - 16t^2, we have all the required information needed to solve this problem. The y-value is the height of the building and the t-value represents the number of seconds after the shoe fell off.
Since we are trying to solve <em>for t</em>, we will be using our y-value. The problem states that we landed on a building with a height of 31 feet. We can plug this into the y-value, since that is what y is defined as (the height of the building).
Now we have:
31 = 200 - 16t^2
We can solve this to find t:
-169 = -16t^2
169 = 16t^2
10.5625 = t^2
3.25, -3.25 = t
We have found two answers for t. However, the negative value is not a solution because we can not have a negative number of seconds. Thus, 3.25 is the only value of t which works for this problem.
Since t is the value we are trying to find, we have our answer. The shoe hits the building after 3.25 seconds.
Answer: 86
Step-by-step explanation:
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Answer:
Let's solve your equation step-by-step.
4 ( 8x − 1 ) = 19 + 32x
Step 1: Simplify both sides of the equation.
4 ( 8x − 1 ) = 19 + 32x
( 4 ) ( 8x ) + ( 4 ) ( −1 ) = 19 + 32x ( Distribute )
32x + −4 = 19 + 32x
32x − 4 = 32x + 19
Step 2: Subtract 32x from both sides.
32x − 4 − 32x = 32x + 19 − 32x
−4 = 19
Step 3: Add 4 to both sides.
−4 + 4 = 19 + 4
0 = 23
Answer:
There are no solutions.
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8.4 inches
Explanation : The big line in the middle of 8 and 9 is equal to 8.5, but since there is a small unit that is missing, the answer is 8.4.