A perfect square trinomial is found in the expression where both the leading coefficients and the constant are both perfect squares. That only is the case with the third choice above. 16 is a perfect square of 4 times 4, and 9 is a perfect square of 3 times 3. We need to set it up into its perfect square factors and FOIL to make sure, so let's do that. Not only is 16 a perfect square in that first term, but so is x-squared. Not only is 9 a perfect square in the third term, but so is y-squared. So our factors will look like this:
(4x + 3y)(4x + 3y). FOIL that out to see that it does in fact give you back the polynomial that is the third choice down.
Answer:
minutes at daytime rate: 3.00
minutes at nighttime rate: $2.70
total cost of call: $8.55
Step-by-step explanation:
split up the hours so you have the 5 cent charge per minute for 1 hour and you have the 3 cents a minute for an hour and a half after 8.
multiply 5 cents a minute by 60 to get the amount of money for the first hour($3.00),
next multiply 3cents a minute by an hour and a half (90 minutes) to get $2.70
next add the money together to get $5.70 and multiply that by 1.5 to get $8.55
9514 1404 393
Answer:
48 +j64 ohms
Step-by-step explanation:
The impedance of a series circuit is the sum ...
R + jXl -jXc
= 48 +j100 -j36
= 48 +j64 . . . . ohms
_____
<em>Additional comment</em>
"j" is the electrical engineer's name for √-1, because "i" is used to represent current.
<span>-4x +2y =24
<u>x-intercept
</u>y=0, -4x =24, x= - 6
<u>
(</u>-6,0)
<u>y-intercept</u>
x=0, 2y=24, y=12
(0, 12)</span>
In the figure we have three right angles .The triangles similar to each other .Similar triangles have sides in proportion .The altitude rule is true for the triangles .
The theorem states :The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Substituting the values from the triangles we ahve:
s is the right answer
