Evaluate the expression when x-6

ONLY ANSWER IF YK IT ILL GIVE THE CORRECT ANSWER BRAINLIEST

Olin [163]

Answer:

9 units

Step-by-step explanation:

If you assume the solution is an integer, then you are looking for factors of 27 that differ by 6. You don't have to look far:

27 = 1×27 = 3×9

If the length is 9 units and the width is 3 units, the width is equal to the length minus 6 units.

The length is 9 units.

_____

Alternate solutions

You can write an equation for the area using L to represent the length. The area is the product of length and width, so is ...

A = LW

27 = L(L-6) = L^2 -6L

You can "complete the square" by adding the square of half the L coefficient:

27 +3^2 = L^2 -6L +3^2

36 = (L -3)^2 . . . . . simplify a bit

6 = L -3 . . . . . . . . . positive square root

9 = L . . . . . . . . . . . . add 3

The length is 9 units.

__

You can also put the quadratic equation into standard form:

L^2 -6L -27 = 0

To factor this, you're looking for factors of -27 that have a sum of -6. From above, we know these are -9 and +3. So the factorization is ...

(L -9)(L +3) = 0

The solutions are the values of L that make these factors be zero:

L -9 = 0 ⇒ L = 9

L +3 = 0 ⇒ L = -3

Only the positive solution is useful as a measure of length. The length is 9 units.

3 0

3 years ago

Giải phương trình: sin*2x+sinxx.cox=1/2

creativ13 [48]

Answer:

x = 9.47 degrees ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

6 0

2 years ago

What the answer now to the question

Lostsunrise [7]

Step-by-step explanation:

Hello!!!

Given, VXW is a Right angled triangle where WV =4 and XV =5.

now, by taking reference angle as angle W, and using tangent we get;

p=5

b=4

again, 

tan thita =p/b

tan thita = 5/4

so, tan thita =1.25.

now, to find angle W, we should do tan thita inverse;

or, (tan thita)-1= tan thita-1(1.25)

or, (tan thita) -1 =51.3401°.

Now, by rounding off we get,

tan thita (angle W )= 51°.

Hope it helps....

8 0

3 years ago

#20, what is this answer ?

Charra [1.4K]

Answer:

b = 2A/h

b = 6 inches

Step-by-step explanation:

$A = \frac{1}{2} bh \\ \\ 2A =bh \\ \\ \purple{b = \frac{2A}{h}} \\ \\ plug \: A = 12 \: and \: h = 4 \\ \\ b = \frac{2 \times \cancel{12}}{ \cancel4} \\ \\ b = 2 \times 3 \\ \\ b \: = 6 \: in$

8 0

3 years ago

The surface areas of two similar figures are 25 in2 and 36 in2. If the volume of the smaller figure is 250 in3, what is the volu

Slav-nsk [51]

Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is $25in^{2}$ , and its volume is $250in^{3}$ . We also know that the area of the larger figure is $36in^{2}$ ; since we don't now its volume, lets represent it with $X$ :
$\frac{25in^{2}----\ \textgreater \ 250in^{3}}{36in^{2}----\ \textgreater \ Xin^{3}}$
$\frac{25}{36} = \frac{250}{X}$
$X= \frac{(250)(36)}{25}$
$X=360$

We can conclude that the volume of the larger figure is $360in^{3}$ ; therefore, the correct answer is a.

6 0

3 years ago

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