Answer:
3 seconds
Step-by-step explanation:
When the ball hits the ground, the height will be 0. Therefore, you can substitute 0 in for the value of f(t), hence the equation will be:
0 = -16t^2 + 32t + 48
You can then factor out -16:
0 = t^2 - 2t - 3
Factor:
0 = (t-3)(t+1)
t = 3, -1
However -1 is an extraneous solution because time cannot be negative. Therefore, the answer is 3 seconds.
9514 1404 393
Answer:
90°
Step-by-step explanation:
Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.
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<em>Additional comment</em>
No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.
When you read this, you immediately get this feeling that the answer is
(1 and 3/4) times (5) . The only problem is that it's kind of messy to
try and do the multiplication with (1 and 3/4) in that form, so it's a lot
easier if you change it to a different form ... you don't change the value
of the number, you just write it differently.
In place of (1 and 3/4), you could use 1.75 , or you could use 7/4 .
They're both exactly the same amount as (1 and 3/4), but they look
different, and they're easier to work with.
Since the problem wants the answer as a fraction or mixed number,
let's use 7/4 in place of (1 and 3/4).
OK. Five bags were used on Thursday, and (7/4) of that many were used
on Friday.
(7/4) x (5 bags) = <u>35/4</u> bags . . . . . That's the improper fraction.
The mixed number is (<u>8 and 3/4</u>) bags.
Answer:
The product is the difference of squares is 
Step-by-step explanation:
Explanation
- The given expression is (9c-2d)(9c+2d).
- We have to multiply the given expression.
- Square the first term 9c. Square the last term 2d.
"Why?" in math has various meanings.
Let's solve
5x +1 > 4x + 1
That's easily solved,
5x - 4x > 1 - 1
x > 0
Since x>1 is included in x>0, it's in the solution set to the above inequality, so all such x make the inequality true.
