<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-12%3D-4x" id="TexFormula1" title="x^{2} -12=-4x" alt="x^{2} -12=-4x" align="abs

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natulia [17]

3 years ago

middle" class="latex-formula">
I know it's easy but I keep getting an answer different from the one in the book.

Mathematics

1 answer:

Anit [1.1K]3 years ago

3 0

Answer:

The answer for Factorization is (x+6)(x-2) = 0 or Solving for x is 2 and -6.

Step-by-step explanation:

x² - 12 = -4x

Factorisation :

x² + 4x - 12 = 0

x² - 2x + 6x - 12 = 0

x(x-2)x + 6(x-2) = 0

(x+6)(x-2) = 0

Solve for x :

(x+6)(x-2) = 0

x + 6 = 0

x = -6

x - 2 = 0

x = 2

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Find the area enclosed by x2=2y and y2=16x

jekas [21]

Answer: $\dfrac{32}{3}$

Step-by-step explanation:

Given

The parabolas are $x^2=2y$ and $y^2=16x$

Find the point of intersection of two parabolas

$\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4$

Obtain y using x

$(x,y)\rightarrow (0,0)\ \text{and }(4,8)$

Area enclosed between the two is

$\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}$

Thus, the area bounded by the two parabolas is $\dfrac{32}{3}$ sq. units.

4 0

2 years ago

△BCD is a right triangle. The length of the hypotenuse is 19cm. The length of one of the legs is 13 cm. What is the length of th

anastassius [24]

Answer:

13.86 to the nearest tenth.

Step-by-step explanation:

A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.

The longest side is called the hypotenuse.

One of the shorter side is called the opposite.

The other shorter side is called the adjacent.

From the information given,

The length of the hypotenuse = 19cm

The length of the opposite side = 13cm

The length of the adjacent side = xcm

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

19^2 = x^2 + 13^2

x^2 = 361 - 169 = 192

x = √192 = 13.8564

= 13.86 to the nearest tenth.

7 0

3 years ago

PLEASE RESPONDD!! IT'S TIMED :") The function f(x) = 4x – 0.1x^2 is used to model the

marissa [1.9K]

Answer: it’s b

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A convenience store pays a farmer $1.25 per pineapple. If it costs the farmer $0.15 in seeds, $0.25 in fertilizer, and $0.25 in

maw [93]

Answer:

$0.60

Step-by-step explanation:

The costs are:

$0.15 + $0.25 = $0.40

He sells it for $1.25.

The value added is:

$1.25 - $0.40 = $0.85

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3 years ago

A coin will be tossed 100 times. You get to pick 11 numbers. If the number of heads turns out to equal one of your 11 numbers, y

kati45 [8]

Answer:

Numbers:

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Chance:

68.27%

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2 years ago