A perfect square trinominal is the square of a binomial. Perfect square trinomials are in the form
a^2 + 2ab + b^2
or
a^2 - 2ab + b^2
Looking at the options, first check the leading term is a perfect square. They all are so we can’t eliminate anything. Next we check if the last term is a positive perfect square. The third option is not positive so we can eliminate that one.
Finally we check the center term. The first one does not have a middle term so we can eliminate that one.
The center term must be 2 times the square root of the first times the square root of the last.
The second option - square root of first term is 2m, square root of last term is 3n. 2*2m*3n is 12mn. That is not the middle term so the second option is not right.
The last option - square root of first term is 4x, square root of last term is 3y. 2*4x*3y is 24xy. That is the middle term. So the last option is the correct answer.
Answer:
3x+4y=-8
Step-by-step explanation:
Clear the fraction, so multiply by 4, so, 4y=-3x-8
Then move x to the other side by adding 3x to both sides. 3x+4y=-8
Answer:
The price including tax is $1,456.92
Step-by-step explanation:
First we need to convert our percentage into a decimal.
0.08
Now we need to multiply our price by the sales tax.
$1,349.00 × 0.08 = $107.92
Our sales tax is $107.92.
Added to our price it's $1,456.92.
It is the third choice.
Dotted line because there’s no equal sign.
Plug in (0,0) to check a point...2(0)-3(0)=0 which is less than 12 and is shaded.
Answer:
24.88
Step-by-step explanation:
If the scale of the drawing is 1:30, it means that the vehicle drawing is 30 times smaller than the actual vehicle.
- Vehicle Length / 30 = Drawing Length
With the above information in mind, we can <u>calculate the length of the vehicle in inches</u>:
- Vehicle Length / 30 = 9.95 in
- Vehicle Length = 30 * 9.95 in
- Vehicle Length = 298.5 in
Finally we <u>convert inches to feet(</u>dividing inches by 12<u>)</u>: