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3 years ago

Factor 16b^2 - 40b +25

Mathematics

2 answers:

WINSTONCH [101]3 years ago

4 0

Your answer will be,

ANSWER: (4b - 5)^2

You're welcome :)

kati45 [8]3 years ago

4 0

We know, a² - 2ab + b² = (a - b)²
Here, a² = 16b²
So, a = 4b

b² = 25
b = 5

Factors would be: (4b - 5)²

Hope this helps!

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I don’t understand these type of questions

storchak [24]

Answer:

5=135

7=45

Step-by-step explanation:

Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.

6 0

2 years ago

Consider the expansion of (x + 2y)^10. Determine the coefficients for the terms with the powers of x and y shown.

julsineya [31]

Answer with Step-by-step explanation:

We are given that an expression

$(x+2y)^{10}$

Binomial expansion o f $(x+y)^n$ is given by

= $nC_0 x^n+nC_1x^{n-1}y^1+nC_2x^{n-2}y^2+nC_3x^{n-3}y^3+... nC_n y^n$

a. We have to find the coefficient of $x^2y^8$

$(x+2y)^{10}=10C_0x^{10}+10C_1x^9(2y)+10C_2x^8(2y)^2+10C_3x^7(2y)^3+...+10C_{10}(2y)^{10}$

Term is $10C_8x^(2y)^8$

Coefficient = $10C_8\cdot 2^8$

b.Term in which $x^4y^6$ is $10C_6x^4(2y)^6$

Coefficient = $10C_4\cdot 2^6$

c.We have to find the coefficient of $x^5y^5$

Term is $10C_5x^5(2y)^5$

Coefficient = $10C_5\cdot 2^5$

7 0

2 years ago

Read 2 more answers

5x is equal to 8X raise to power - 1/3

goldenfox [79]

Answer:

No solutions.

Step-by-step explanation:

5x = 8x^-1/3

Divide 8 into both sides.

5/8x = x^-1/3

Divide both sides by x.

5/8 = x^-4/3

Multiply both sides by the exponent -3/4.

5/8^-3/4 = x

1.422624 = x

Plug in 1.422624 for x to check.

It does not work. There are no real solutions.

7 0

2 years ago

The measures of the angles of a triangle are 42°, 68°, and 70°. Classify the triangle. right equiangular obtuse acute

cricket20 [7]

Answer:

Scalene acute triangle

Step-by-step explanation:

And acute has less than 90 degrees all of them are less than 90 which makes it acute, scalene

5 0

3 years ago

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

3 years ago

Read 2 more answers