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2 years ago

WHO CAN HELP ME??????

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

6 0

Answer:

very easy if you make me brainliest

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Find the directrix of the parabola y = (1/8)(x – 5)2 - 3.

V125BC [204]

I have no idea. Quick question for you though since we are working on similar stuff. How do I write this equation in graphing form: y=2x^2-12x+19

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3 years ago

What is the coefficient of x2y3 in the expansion of (2x + y)5?

Zigmanuir [339]

Option C:

The coefficient of $x^{2} y^{3}$ is 40.

Solution:

Given expression:

$(2 x+y)^{5}$

Using binomial theorem:

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here $a=2 x, b=y$

Substitute in the binomial formula, we get

$(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}$

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}$

$$+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}$

Let us solve the term one by one.

$$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}$

$$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y$

$$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}$

$$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}$

$$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}$

$$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}$

Substitute these into the above expansion.

$(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}$

The coefficient of $x^{2} y^{3}$ is 40.

Option C is the correct answer.

5 0

2 years ago

What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to

xxMikexx [17]

Answer:

The answer to your question is Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

circumference = 2πr

-Substitution

2.9 = 2πr

-Solve for r

r = 2.9/2π

r = 1.45/π cm

2) Calculate the volume of the cone

Volume = 1/3πr²h

-Substitution

Volume = 1/3π(1.45/π)²(14.9)

-Simplify

Volume = (1.04)(0.213)(14.9)

Volume = 3.30 cm³

5 0

3 years ago

A kilometer is more than one half a mile true or false!

Orlov [11]

The answer is true.
1 Kilometer is 0.621371 miles

4 0

3 years ago

Read 2 more answers

Least to greatest -6.8,|-23/4|,0,-14.4,|-1.9|,5.4

IrinaVladis [17]

Answer:

From Least to Greatest: -14.4, -6.8, -23/4, -1.9, 0, 5.4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers