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3 years ago

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How do i factor 2x^2 - 16x + 32 ?

1 answer:

lora16 [44]3 years ago

4 0

2x^2 - 16x + 32 = 2x^2 - 8x - 8x + 32 = 2x(x - 4) - 8(x - 4) = (2x - 8)(x - 4)

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Use the equation xy= 12.6. Find the value of y when x=7

Marat540 [252]

Answer: y = 1.8

Step-by-step explanation:

xy = 12.6 If x is 7 but 7 in the equation for x

7y = 12.6 Divide both sides by 7

y = 1.8

6 0

3 years ago

In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo

Scorpion4ik [409]

Answer:

$x=\frac{8}{3}\ cm$

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

$A=\frac{1}{2}(AB)(BC)$

we have

$A=17\ cm^2$

$AB=(3x-2)\ cm$

$BC=(x+3)\ cm$

substitute the values

$17=\frac{1}{2}(3x-2)(x+3)$

$34=(3x-2)(x+3)$

$34=3x^2+9x-2x-6$

$3x^2+7x-6-34=0$

$3x^2+7x-40=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2+7x-40=0$

so

$a=3\\b=7\\c=-40$

substitute in the formula

$x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}$

$x=\frac{-7(+/-)\sqrt{529}} {6}$

$x=\frac{-7(+/-)23} {6}$

$x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}$

$x=\frac{-7(-)23} {6}=-5$

therefore

The solution is

$x=\frac{8}{3}\ cm$

6 0

3 years ago

Sin a_____=1/2 [sin (a + b) + sin (a - b)]

QveST [7]

Answer:

$\textbf{A.} \cos b$

Step-by-step explanation:

$\dfrac 12 \left[\sin(a+b)+\sin(a-b) \right]\\\\\\=\dfrac 12\left[ 2 \sin a \cos b\right]\\\\\\=\sin a \cos b$

7 0

2 years ago

Find length of each side

IgorLugansk [536]

Option b: 10 in, 18.5 in, 31.5 in.

Explanation:

The three sides of a triangle are $2y+1, 3y+5$ and $7y$

The perimeter of the triangle is $60 in$ .

Since, Perimeter = all sides of the triangle

Let us add all the three sides to determine the length of each side.

$Perimeter=2y+1+3y+5+7y$

Substituting the value of Perimeter and simplifying, we get,

$60=12y+6\\54=12y\\4.5=y$

Substituting $y=4.5$ in the three sides of the triangle $2y+1, 3y+5$ and $7y$ , we get,

$2y+1=2(4.5)+1=10 in$

$3y+5=3(4.5)+5=18.5 in$

$7y=7(4.5)=31.5 in$

Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.

8 0

4 years ago

In 3 3/4 hours one day in January, it snowed 3 ft in Amarillo. How much snow fell per hour?

miv72 [106K]

Divide 3 over 3.75 to get 0.8 feet of snow each hour

5 0

3 years ago

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