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3 years ago

Which expression is a factor of x2 – 52 – 6?

Mathematics

1 answer:

Lena [83]3 years ago

8 0

Answer:

x^2+17x+52

Step-by-step explanation:

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What multiplies to be -16 and adds up to be 6

solong [7]

The answer you seek is 8*-2=-16 and 8-2=6.

5 0

3 years ago

Jeremy has a set of wooden sticks with the length of 10cm, 12cm, and 15cm. Explain whether or not he would be able to form a tri

Wewaii [24]

Answer:

YES, he would be able to form a triangle with these tree sticks

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST be true with all combinations

10+12 is greater than 15

10+15 is greater than 12

15 +12 is greater than 10

5 0

3 years ago

6. m A = 8x - 2, m B = 2x - 8, and m2 C = 94 - 4x. List the sides of A ABC in order from shortest to

Oduvanchick [21]

Given:

In triangle ABC, m∠A=(8x-2)°, m∠B=(2x-8)° and m∠C=(94-4x)°.

To find:

The sides of the triangle ABC in order from shortest to longest.

Solution:

In triangle ABC,

$m\angle A+m\angle B+m\angle C=180^\circ$ (Angle sum property)

$(8x-2)^\circ+(2x-8)^\circ+(94-4x)^\circ=180^\circ$

$(6x+84)^\circ=180^\circ$

$6x+84=180$

$6x=180-84$

$6x=96$

Divide both sides by 6.

$x=\dfrac{96}{6}$

$x=16$

Now,

$m\angle A=(8(16)-2)^\circ$

$m\angle A=(128-2)^\circ$

$m\angle A=126^\circ$

Similarly,

$m\angle B=(2(16)-8)^\circ$

$m\angle B=(32-8)^\circ$

$m\angle B=24^\circ$

And,

$m\angle C=(94-4(16))^\circ$

$m\angle C=(94-64)^\circ$

$m\angle C=30^\circ$

In a triangle the smaller angle has shorter opposite side and larger angle has longer opposite side.

$24^\circ$

$m\angle B$

$AC$

List the sides of triangle ABC in order from shortest to longest is AC:AB:BC.

Therefore, the correct option is A.

6 0

3 years ago

3x^3 - 2y^-6x^2y^2+xy for x=2/3 and y=1/2

Dominik [7]

Answer:

-13

Step-by-step explanation:

3x^3 - 2y^-6x^2y^2+xy

x=2/3 and y=1/2

Solve :

3x^3 - 2y^-6x^2y^2+xy

Put value of x and y in this equation

= 3(2/3)^3 - 2(1/2)^-6(2/3)^2(1/2)^2+(2/3)(1/2)

= -13

4 0

3 years ago

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.

Artist 52 [7]

Answer: 0.0250

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes.

We know that the uniform distribution is also known as rectangular distribution.

Density function for uniform distribution : $f(x)=\dfrac{1}{b-a}$

$=\dfrac{1}{60-50}=\dfrac{1}{10}$

Now, the probability that a given class period runs between 51.25 and 51.5 minutes :-

$\int^{51.5}_{51.25}f(x)\ d(x)\\\\ \int^{51.5}_{51.25}\dfrac{1}{10}\ dx\\\\=\dfrac{1}{10} [x]^{51.5}_{51.25}\\\\=\dfrac{1}{10}(51.5-51.25)=0.0250$

Hence, the probability that a given class period runs between 51.25 and 51.5 minutes = 0.0250

3 0

3 years ago