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3 years ago

12

Explain the Mistake

1 answer:

Nookie1986 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

The two given angles are vertically opposite -- one opposite the other.

Vertically opposite angles are equal

5x = 100 Divide by 5

5x/5 = 100/5

x = 20

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A students claims that 8 to the 3rd power and 8 to the negative 5th power is greater than 1. Explain whether the student is corr

Serga [27]

<span>7s over 5t to the negative 3rd power 2 to the negative 3rd power times X to the 2nd power times Z to the negative 7th power 7s to the zero power times T to the negative 5th power over 2 to the negative 1st power times M to the 2nd power If you would please simplify these </span>

8 0

3 years ago

Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a

dolphi86 [110]

Answer:

The required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

Step-by-step explanation:

If a polynomial has degree n and $c_1,c_2,...,c_n$ are zeroes of the polynomial, then the polynomial is defined as

$P(x)=a(x-c_1)(x-c_2)...(x-x_n)$

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

$R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)$

$R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2$

$R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2$ $[a^2-b^2=(a-b)(a+b)]$

$R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2$

$R(x)=(x^2-6x+18)(x^2-4x+4)$ $[i^2=-1]$

$R(x)=(x^2-6x+18)(x^2-4x+4)$

$R(x)=x^4-10x^3+46x^2-96x+72$

Therefore the required polynomial is $P(x)=x^4-10x^3+46x^2-96x+72$ .

3 0

3 years ago

A square wrestling mat has a side length of (4x - 1) feet.

son4ous [18]

Answer:

$(4x-1)^2$

Step-by-step explanation:

Area of a square = $l^2$

If l = $(4x - 1)$ ,

Then area = $(4x - 1)^2$

HOPE THIS HELPS

7 0

3 years ago

About 70% of Australia's population are of British descent. If Australia's population is 25

neonofarm [45]

Answer:

17,500,000 people

Step-by-step explanation:

70% can be rewritten as 0.7 time 25 million

0.7*25,000,000 = 17,500,000

7 0

1 year ago

How to solve ratio tables with decimals

DiKsa [7]

0.7 is 0:7 in reatio

3 0

3 years ago