All categories

3 years ago

Divide. Show your work. (6x^4-5x^3+6x^2)/2x^2

1 answer:

6 0

We can do like we did before, distribute the denominator,

$\bf \cfrac{6x^4-5x^3+6x^2}{2x^2}\implies \cfrac{6x^4}{2x^2}-\cfrac{5x^3}{2x^2}+\cfrac{6x^2}{2x^2}\implies \cfrac{6}{2}\cdot \cfrac{x^4}{x^2}-\cfrac{5}{2}\cdot \cfrac{x^3}{x^2}+\cfrac{6}{2}\cdot \cfrac{x^2}{x^2}
\\\\\\
3 x^4x^{-2}-\cfrac{5}{2}x^3x^{-2}+3x^2x^{-2}\implies 3x^{4-2}-\cfrac{5}{2}x^{3-2}+3x^{2-2}
\\\\\\
3x^2-\cfrac{5}{2}x+3x^0\implies 3x^2-\cfrac{5}{2}x+3$

You might be interested in

Yo please help

Alex Ar [27]

Answer:

Options 1, 3 and 4 are true

Step-by-step explanation:

The legs EF and DF of the right triangle DEF have lengths of 24 units and 7 units, respectively. By the Pythagorean theorem,

$DE^2=EF^2+DF^2\\ \\DE^2=24^2+7^2\\ \\DE^2=576+49\\ \\DE^2=625\\ \\DE=25\ units$

Find trigonometric functions:

$\sin \angle D=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}$

$\cos \angle E=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{EF}{DE}=\dfrac{24}{25}$

$\tan \angle D=\dfrac{\text{Opposite leg}}{\text{Adjacent leg}}=\dfrac{EF}{DF}=\dfrac{24}{7}$

$\sin \angle E=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{DF}{DE}=\dfrac{7}{25}$

Thus, options 1, 3 and 4 are true

5 0

3 years ago

Read 2 more answers

Factor: 3.x2 + 7x + 2

iren [92.7K]

Answer:

x= -1/3 and -2

I have made it in above picture

5 0

3 years ago

Please help asap!!!

Ganezh [65]

Take a better pic plz

4 0

3 years ago

Please help asap, its due in 20min

mojhsa [17]

Answer:

The scalar factor is 4/3

Step-by-step explanation:

The bottom of triangle B is 16 units, the bottom of triangle A is 12 units. So to find the scalar factor you have to divide B by A:

6/12=4/3

8 0

3 years ago

Which of these triangels apears not to be congruent to any others shown here check all that apply

masha68 [24]

Triangles are congruent when they have exactly the same three sides and exactly the same three angles.

The diagram shows two pairs of congruent triangle:

triangle C is congruent to triangle E (have exactly the same three sides and exactly the same three angles);
triangle D is congruent tot triangle F (have exactly the same three sides and exactly the same three angles).

Triangles A and B apears not to be congruent to any others triangles.

6 0

3 years ago

Read 2 more answers