Answer:
Coordinates of point P is
.
Step-by-step explanation:
Given that mid point of line segment
is at <em>M(-9, 8.5).</em>
Q is at <em>(-4, 14)</em>.
Let coordinate of P be
.
Using the ratio, we can say the following:
<em>The coordinates of mid point</em>
of a line with endpoints
and
is given as:


Using the formula for above given dimensions:


So, the <em>coordinates of point P are</em>
.
Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!
You need to know three exponent rules to simplify these expressions:
1)
The
negative exponent rule says that when a
base has a negative exponent, flip the base onto the other side of the
fraction to make it into a positive exponent. For example,

.
2)
Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example,

.
3) The
zero exponent rule<span> says that any number
raised to zero is 1. For example,

.
</span>
Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is

. The x-values are:
<span>
1) x = 0</span>Plug this into

to find letter a:

<span>
2) x = 2</span>Plug this into

to find letter b:

<span>
3) x = 4</span>Plug this into

to find letter c:

<span>
Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is

. The x-values are:
<span>
1) x = 0</span>Plug this into

to find letter d:

<span>
2) x = 2
</span>Plug this into

to find letter e:

<span>
3) x = 4
</span>Plug this into

to find letter f:

<span>
-------
Answers: a = 1b = </span>

<span>
c = </span>
d = 1e =
f =
Answer:
Gas prices $3.45
Jenny purchase 12.2 gallons of gas for her car.
12.2 x $3.45 = 42.09
A= $42.09
Answer:
The drone takes 2.25 seconds to be higher than the basketball.
Step-by-step explanation:
Based on the definitions given on statement and the image attached below, the red line represents the height of the basketball and the blue line represents the height of the drone, respectively. The height of the drone is higher than the height of the basketball when the y-value of the former is higher than the y-value of the latter. The time is contained in the +x semiaxis.
According to the figure, the drone takes 2.25 seconds to be higher than the basketball.