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Liula [17]
3 years ago
9

How do you find the middle term of a perfect square trinomial?

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

Answer:

Take the square root of the constant (number w/o the variable) and then multiply that by 2.

Step-by-step explanation:

A perfect square trinomial is something like this: x^{2} +6x+9. If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.

SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...

1) Take the square root of the constant...

2) Multiply that by 2

You might be interested in
What is 66.875 as a mixed number in simplest form.?
antoniya [11.8K]
66.875 = 66 7/8 as a mixed number
6 0
3 years ago
if the store purchased a kitchen appliance for $42 and sold it for $58.80, what was the percent markup?
oksano4ka [1.4K]

Answer:

40%

Step-by-step explanation:

Percent markup = new price - original price/original price

Do the subtraction first.

58.80 - 42.00 = 16.80

Now do the division

16.8/42 = 0.40

Change the decimal to a percent by moving the decimal two place to the right.

0.40 = 40%

6 0
2 years ago
Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b
julia-pushkina [17]
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

381+24.77=405.77

So now we know that Jon's total bill for these items is $405.77.
4 0
3 years ago
I don't know how to do this or what i'm doing plz help
mote1985 [20]

recalling that d = rt, distance = rate * time.


we know Hector is going at 12 mph, and he has already covered 18 miles, how long has he been biking already?


\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 12&1\\ 18&x \end{array}\implies \cfrac{12}{18}=\cfrac{1}{x}\implies 12x=18\implies x=\cfrac{18}{12}\implies x=\cfrac{3}{2}


so Hector has been biking for those 18 miles for 3/2 of an hour, namely and hour and a half already.

then Wanda kicks in, rolling like a lightning at 16mph.

let's say the "meet" at the same distance "d" at "t" hours after Wanda entered, so that means that Wanda has been traveling for "t" hours, but Hector has been traveling for "t + (3/2)" because he had been biking before Wanda.

the distance both have travelled is the same "d" miles, reason why they "meet", same distance.


\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}


\bf \stackrel{\textit{substituting \underline{d} in the 2nd equation}}{\boxed{(12)\left( t+\frac{3}{2} \right)}=16t}\implies 12t+18=16t \\\\\\ 18=4t\implies \cfrac{18}{4}=t\implies \cfrac{9}{2}=t\implies \stackrel{\textit{four and a half hours}}{4\frac{1}{2}=t}

7 0
3 years ago
Select all expressions shown that are equivalent to
Murrr4er [49]

Answer:

A.  and C.

if you simplify the expressions, you will see which ones are equal to the expression given

4 0
2 years ago
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