All categories

3 years ago

Solve for x: -10x/2+x=x+8/x

1 answer:

3 0

$The\ domain:\\D:\ x\neq-2\ \wedge\ x\neq0\\\\\dfrac{-10x}{2+x}=\dfrac{x+8}{x}\ \ \ \ |\text{cross multiply}\\\\(-10x)(x)=(2+x)(x+8)\\\\-10x^2=(2)(x)+(2)(8)+(x)(x)+(x)(8)\\\\-10x^2=2x+16+x^2+8x\\\\-10x^2=x^2+10x+16\ \ \ +10x^2\\\\11x^2+10x+16=0\\\\a=11,\ b=10,\ c=16\\\\b^2-4ac=10^2-4(11)(16)=100-704=-604 < 0\\\\NO\ REAL\ SOLUTION$

You might be interested in

Plzzzzz 100 points 3 questions plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

KonstantinChe [14]

Answer:

do ur test by ur own understanding... xD

Step-by-step explanation:

<h3>all the natural numbers can be expressed in the form of the product of its prime factors.</h3>

8 0

3 years ago

Brainliest 4 whoever can tell me the correct answer to this question

Montano1993 [528]

If you explain what I’m doing I might be able to help

7 0

2 years ago

What is the measure of angle c?

s344n2d4d5 [400]

Answer:

50 degrees

Step-by-step explanation:

Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.

Because we only have sides here and no angles, we are forced to use the law of cosines.

c^2 = a^2 + b^2 − 2ab cos(C)

c = 6

b = 7.5

a = 6.5

36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)

36 = 98.5 - 97.5cos(C)

-62.5 = -97.5cos(C)

0.641 = cos(C)

angle C = cos^-1(0.641)

angle C = 50.13 which is around 50 degrees

Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.

5 0

3 years ago

The expected activity time in PERT analysis is calculated as: the weighted average of a, m, and b, with m weighted 4 times as he

maria [59]

Answer:

$\text{the weighted average of a, m, and b, with m weighted 4 times as heavily as a and b.}$

Step-by-step explanation:

$\text{The expected activity time in PERT analysis is calculated as:}$

$\mathbf{\dfrac{a+4m + b}{6}}$

$where;$

$\text{a = optimistic duration; }$

$\text{m = most likely duration and;}$

$\text{ b = pessimistic duration from the above formula.}$

3 0

2 years ago

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

dolphi86 [110]

Answer:

Length = 17 inches

Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

${\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}$