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3 years ago

Can someone help me with this:simplify 17 and 9/4

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

I think its 19 1/4
sooo sorry if I am wrong

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Please please help me please

nydimaria [60]

The area of a circle is

$A=\pi r^2$

The radius is half the diameter, so we have

$A=\pi \left(\dfrac{11}{2}\right)^2$

5 0

3 years ago

A teacher wants to bring her children to see a play. Each ticket costs $55. Per ticket has a $2 handling and parking was $6.50.

Leni [432]

She bought 7 tickets.

8 0

3 years ago

Write a polynomial of degree 5 with zero x=0,i square root 7, -2i

professor190 [17]

Answer:

$P(x)=x^5+11x^3+28x$

Step-by-step explanation:

Roots of a polynomial

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

$P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)$

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

$x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}$

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

$x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}$

Let's build up the polynomial, assuming a=1:

$P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})$

Since:

$(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2$

$P(x)=(x)(x^2+7)(x^2+4)$

Operating the last two factors:

$P(x)=(x)(x^4+11x^2+28)$

Operating, we have the required polynomial:

$\boxed{P(x)=x^5+11x^3+28x}$

7 0

3 years ago

Warren measured a rectangular window to find out how much plastic he would need to cover it. The window measured 5 ft 6 inches b

Sedbober [7]

5 feet 6 inches is equal to ((5*12)+6) inches, which is equal to 66 inches since 5*12=60 and 60+6=66

2 feet 9 inches is equal to ((2*12)+9) inches, which is equal to 33 inches since 2*12=24 and 24+9=33

Since 66 and 33 are the length and width (there isn't any specific order as to which measurement is the length or width) and the question is asking for square inches,(which is the area) so what needs to be done next is 66*33, which equals 2178, the square inches of plastic needed is 2718 square inches.

I couldn't keep the answer in the format of _ft _in because they are asking for the area in inches, and I don't think it would be smart to convert inches to decimal values of feet for reasons I won't talk about.

So yeah, your answer is 2178 square inches of plastic.

7 0

3 years ago

Help me plzz and thank u sm

vladimir2022 [97]

Answer:

The equation of the axis of symmetry is x = 7

Step-by-step explanation:

Mathematically, we have the equation of the axis of symmetry as;

x = -b/2a

where a is the coefficient of x^2 = 1

b is the coefficient of x which is -14

So, the equation of the axis of symmetry will be;

x = -(-14)/2(1) = 14/2 = 7

So the equation of the axis of symmetry is x =7

6 0

3 years ago