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2 years ago

Expand (2x-5y)⁷ and find fourth form

Mathematics

1 answer:

elena55 [62]2 years ago

3 0

Step-by-step explanation:

By binomial theorem,

T(r+1) = nCr * a^(r+1) * b^r

Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.

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Evaluate the expression.<br> 38 +16 - 12 - 2 - (302)<br> Enter your answer in the box.

masha68 [24]

Answer:

-262

Step-by-step explanation:

Evaluate Subtraction & Addition from right to left [or left to right, as long as you know what you are doing]:

38 + 16 - 12 - 2 - 302

|_______||____________|

$44 - 316 = -262$

I am joyous to assist you anytime.

5 0

3 years ago

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

2 years ago

x2 - 10x + _ "find value that completes the square and rewrite as perfect square" what does it mean by "rewrite as perfect squar

abruzzese [7]

A perfect square is something times that same thing. Example (x+2)(x+2)

The reason it's called a perfect square is because it can be re-written as a squared function:

$(x+2)(x+2) = (x+2)^{2}$

8 0

3 years ago

Read 2 more answers

Brainlist if u get it right please help

Katarina [22]

Answer:

9 units right and 7 units up! You can check!!! D!

Step-by-step explanation:

Brainliest???

8 0

3 years ago

Write to explain how you can break apart 16*34 into four simpler multiplication problems

____ [38]

16 is 10 +6, and 34 is 30+4
10*30=300
10*4=40
6*30=180
4*6=24
add them up: 300+40+180+24=544

Using an array to break
<span>https://www.lake.k12.fl.us/cms/lib05/FL01000799/Centricity/Domain/7908/Topic%204%20Centers%204th%20g...</span>

8 0

3 years ago

Expand (2x-5y)⁷ and find fourth form​

Expand (2x-5y)⁷ and find fourth form