Answer:
P = 28 cm
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
49 = s^2
Taking the square root of each side
sqrt(49) = sqrt(s^2)
7 =s
Now find the perimeter of the square
P = 4s
P = 4(7)
P = 28 cm
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
<h3>
</h3><h3>
Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
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Answer:
graph{3x [-10, 10, -5, 5]}
Explanation:
this function is in the form of
y
=
m
x
+
q
with
m
=
3
,
q
=
0
so it's an straight line: ascending [
m
>
0
], that touch the
y
axis in the point
(
0
,
0
)
[
q
=
0
]
First you need to get the unit rate by dividing 715 by 13, getting 55 miles per hour. You then will need to divide 495 by 55 to get the answer of 9