Please help!! Answer correct for brainliest and also get a thanks ! :)

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Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

2 years ago

How to add/subtract like radical expressions?

N76 [4]

9514 1404 393

Explanation:

"Like" radicals can be added and subtracted in the same way any like terms can be combined. It can be helpful to simplify the radical as much as possible so that it can be seen whether the radicals are "like" or not.

Examples:

√2 +√3 . . . . cannot be combined

√2 +√8 = √2 +2√2 = 3√2 . . . . the simplified radicals can be combined

4 0

2 years ago

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

vodomira [7]

First, we need her speed as it will serve as the slope of the equation.
Distance = 2 km
time = 18 min
Speed = 1/9 km/min
k = (1/9)t
Where k is the distance in km and t is the time in minutes.

6 0

2 years ago

Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the hei

Hunter-Best [27]

Answer:

x = 28.60 feet

Step-by-step explanation:

We are given a height of 2 feet above the ground and the angle of elevation of 86 degrees.

Now, let's assume that the form of our problem is in the form of a right triangle, we can solve for the remaining angle as follows;

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is been calculated below as

2/sin 4 = x / sin 86

solving for x we have

x = 28.60 feet

We have 28.60 feet as our answer

8 0

2 years ago

What conic section is drawn by the parametric equations x=csc t and y cot?

Vanyuwa [196]

If we take the square of x and square of y and then subtract them:
(csc t)²-(cot t)²=1 ( this eq. gets from basic identity
x²-y²=1......a 1+cot²x=csc²x)

equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)

So, option D is correct

3 0

2 years ago