All categories

3 years ago

Factor x^2 + 12x + 36

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Answer:

(x + 6 )(x + 6 )

2 numbers to add to 12 but also multiply to get 36

tatyana61 [14]3 years ago

5 0

Answer:

(x+6)(x+6)

Step-by-step explanation:

x^2 + 12x + 36

What 2 numbers multiply to 36 and add to 12

6*6 =36

6+6 =12

(x+6)(x+6)

You might be interested in

Two forces act on an object. The first Force has a magnitude of 400 Newtons and acts at an angle of 30 degrees as measured from

Sedaia [141]

ANSWER

Option D is correct

EXPLANATION

We resolve the forces into component forms.

$F_1 = 400 \cos(30) i + 400 \sin(30) j$

$F_1 = 200 \sqrt{3} i +200j$

Also the second is resolved to obtain,

$F_2= 280 \cos(135) i + 280 \sin(135) j.$

$F_2= - 140 \sqrt{2} i + 140 \sqrt{2} j$

To find the resultant vector, V, We add the corresponding components of the two forces to get:

$V=F_1+F_2$

$\implies \: V = (200 \sqrt{3} - 140 \sqrt{2} )i + (200 + 140 \sqrt{2})j$

The correct answer is D.

3 0

3 years ago

Help it’s 20 points!! Of a exit ticket!.

natka813 [3]

X=1/2,-3 is the answer

7 0

3 years ago

If a rectangle's length is y−2 and the width is 3y+2 write an expression for the perimeter and an expression for the area.

aalyn [17]

Answer:

Area = $3y^2 - 4y - 4$ units square.

Perimeter = 8y units.

Step-by-step explanation:

Area of a rectangle = length * width.

Perimeter of a rectangle = 2*(length + width).

It is given that length = y−2 units and width = 3y+2 units. To find the area and the area of the rectangle in terms of y, simply put the length and the width in the above area and perimeter equations.

Area = length * width = (y-2)*(3y+2).

Expanding the expression gives:

Area = 3y^2 + 2y - 6y - 4 = (3y^2 -4y - 4) units square.

Similarly,

Perimeter = 2*(length + width) = 2*(y-2 + 3y+2) = 2*4y = 8y units.

Therefore, the expression for the area and the perimeter of the given rectangle is ( $3y^2 - 4y - 4$ ) units square and (8y) units respectively!!!

3 0

3 years ago

The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of

Dovator [93]

Answer:

The height of the cone is 10.9 cm

Step-by-step explanation:

step 1

Find the height of the cone

Applying the Pythagoras Theorem

$12^{2}=5^{2}+h^{2}$

$144=25+h^{2}$

$h^{2}=144-25$

$h^{2}=119$

$h=10.9\ cm$

therefore

The height of the cone is 10.9 cm

6 0

3 years ago

Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

3 years ago