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3 years ago

Factor x2 -12x + 36

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer:

(x -6)²

Step-by-step explanation:

It is worth remembering the form of the square of a binomial:

(a +b)² = a² +2ab +b²

Note that if "a" and "b" have different signs, the middle term will be negative.

In your case, the square root of the constant is half the magnitude of the x-coefficient, so the trinomial you have is a perfect square. Since you just found √36 = 6, and the sign of 12 tells you the terms have different signs, you know the answer is ...

x² -12x +36 = (x -6)²

_____

Of course, you recognize (x +6)(x -6) as the factoring of the difference of squares ...

x² -6² = x² -36

which is not what you have.

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Which of the following values best approximates the length of C in triangle ABC where C=

irinina [24]

Answer:

The correct answer is D 46.3644

8 0

3 years ago

for the opening day of a carnival, 800 admission tickets were sold. The receipts totaled $3775. Tickets for children cost $3 eac

zloy xaker [14]

Total tickets sold = 800
Total revenue = $3775

Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.

Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens

Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)

Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)

Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)

Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450

Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.

6 0

4 years ago

Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik

sergejj [24]

Answer:

Yellow troop will complete the hike faster than blue troop

Blue troop hikes 1.33 miles in 1 hour

Yellow troop hikes 2.25 miles in 1 hour

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels $\frac{2}{3}$ miles ever $\frac{1}{2}$ hour:

$\frac{1}{2}$ hr = $\frac{2}{3}$ miles

1 hr = $\frac{(2)2}{3}$

1 hr= $\frac{4}{3}$ miles = 1.33 miles

Blue troop hikes 1.33 miles in 1 hour

Yellow troops travels $\frac{3}{4}$ miles ever $\frac{1}{3}$ hour:

$\frac{1}{3}$ hr= $\frac{3}{4}$ miles

1 hr = $\frac{(3) 3}{4}$ miles

1 hr = $\frac{9}{4}$ miles =2.25 miles

Yellow troop hikes 2.25 miles in 1 hour

Yellow troop will complete the hike faster than blue troop

7 0

3 years ago

Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6

yan [13]

Each curve completes one loop over the interval $0\le t\le2\pi$ . Find the intersections of the curves within this interval.

$6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi$

The region of interest has an area given by the double integral

$\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta$

equivalent to the single integral

$\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta$

which evaluates to $9\pi+72$ .

8 0

3 years ago

Help ASAP I’ll mark as brainlister

zavuch27 [327]

Answer:

its 10 i think

4 0

3 years ago

Read 2 more answers