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3 years ago

No links, brainliest for correct answer

Mathematics

1 answer:

Vilka [71]3 years ago

6 0

Answer:

Claire's Claim is WRONG. that is not a right triangle. A right triangle has one right angle, which is a line that goes straight up and staright horizontal. APQ does not have that.

Step-by-step explanation:

BRAINLIEST PLZ

tyty

Kaavya

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Rapide s’il vous plaît

sveticcg [70]

A-d i gave you the whole decimal round as needed

6 0

3 years ago

Harold uses the binomial theorem to expand the binomial (3x^5 - 1/9y^3)^4

riadik2000 [5.3K]

<h3>The complete question:</h3>

Harold uses the binomial theorem to expand the binomial $(3x^5 -\dfrac{1}{9}y^3)^4$

(a) What is the sum in summation notation that he uses to express the expansion?

(b) Write the simplified terms of the expansion.

Answer:

(a). $(3x^5 -\dfrac{1}{9}y^3)^4=$$\sum_{k=0}^{n} \binom{4}{k}(3x^5)^{4-k}( -\dfrac{1}{9}y^3)^k $$$

(b). $(3x^5 -\dfrac{1}{9}y^3)^4=81x^{20}-12x^{15}y^3+\dfrac{2x^{10}y^6}{3}-\dfrac{4x^5y^9}{243}+\frac{y^{12}}{6561}$

Step-by-step explanation:

(a).

The binomial theorem says

$(x+y)^n=$$\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k $$$

For our binomial this gives

$\boxed{(3x^5 -\dfrac{1}{9}y^3)^4=$$\sum_{k=0}^{n} \binom{4}{k}x^{4-k}y^k $$}$

(b).

We simplify the terms of the expansion and get:

$$$\sum_{k=0}^{n} \binom{4}{k}(3x^5)^{4-k}y^k $$= \binom{4}{0}(3x^5)^{4-0}(-\dfrac{1}{9}y^3 )^0+\binom{4}{1}(3x^5)^{4-1}(-\dfrac{1}{9}y^3 )^1+\\\\\binom{4}{2}(3x^5)^{4-2}(-\dfrac{1}{9}y^3 )^2+\binom{4}{3}(3x^5)^{4-3}(-\dfrac{1}{9}y^3 )^3+\binom{4}{4}(3x^5)^{4-4}(-\dfrac{1}{9}y^3 )^4$

$$$\sum_{k=0}^{n} \binom{4}{k}(3x^5)^{4-k}(-\frac{1}{9}y^3 )^k $$= (3x^5)^{4}+4(3x^5)^{3}(-\frac{1}{9}y^3 )+6(3x^5)^{2}(-\frac{1}{9}y^3 )^2+\\\\4(3x^5)(-\frac{1}{9}y^3 )^3+(-\frac{1}{9}y^3 )^4$

$\boxed{(3x^5 -\dfrac{1}{9}y^3)^4=81x^{20}-12x^{15}y^3+\dfrac{2x^{10}y^6}{3}-\dfrac{4x^5y^9}{243}+\frac{y^{12}}{6561} }$

3 0

3 years ago

Popcorn was donated for the school fair by 3 different popcorn vendors. They donated a total of 636 bags of popcorn.Each vendor

miv72 [106K]

Answer:

The answer is 212.

Step-by-step explanation:

If there are 3 vendors that donated popcorn, and there are 636 bags, and they all gave the same amount of bags, then you would get the total (636) and divide it by the amount of vendors (3) which would give you 212.

5 0

4 years ago

Help please it's due today. Also please leave an explanation too ty!

Ivan

Answer:

B. 6π $\sqrt{2}$

Step-by-step explanation:

If you look at the help image I attached, what we are given is in RED and what we solve is in BLUE.

First, draw a diagonal in the square. Its length is the diameter, but we don't know the exact value. Since two right triangles have been created, we use Pythagorean Therom to solve for the hypotenuse/diameter:

$a^2+b^2=c^2\\6^2+6^2=c^2$

$\sqrt{36+36} =c$

$6\sqrt{2}=c$

If diameter = $6\sqrt{2}$ , then radius is $\frac{6\sqrt{2}}{2}$ or $3\sqrt{2}$

Circumference = 2πr

2π ( $3\sqrt{2}$ )

6π $\sqrt{2}$

I hope this helps!

8 0

2 years ago

Anybody know how to do algebra?

Inessa [10]

Answer:

The solution of a system of equations is the point(s) that lies on both lines. Therefore if the 2 lines cross over each other then there is exactly one solution. If they have no solution it means they are parallel since they don't share a single point and if they are overlapping lines then there is an infinite amount of solutions since they share the same points.

In this case it must have 1 solution.

To find which point is correct you should be able to plug in the same point for the x and y of the equations so that they are valid.

For example in the equation y=2x and y=-1/2x we need to find the point in which will work for both equations. In this case 0,0 is correct (0=0, 0=0)

So lets plug in the points and find the correct solution:

A. -1=-2+5

-1=-3 - this isn't true since -1 cant possibly equal -3. Therefore this point is incorrect.

B. 3=-2+5

3=3 - this is valid

______________

3=-2(-2)-1

3=4-1

3=3 - this is also valid

Therefore B is correct

(-2, 3)

Step-by-step explanation:

8 0

3 years ago