Which angle pair is a pair of alternate exterior angles

Write a polynomial function f of the least degree that has rational coefficients,

mina [271]

Answer:

$f(x)=x^4+15x^2-16$

Step-by-step explanation:

It is given that the leading coefficient of the polynomial is 1.

We need to find a polynomial function f of the least degree.

If c is a root of a polynomial then (x-c) is a factor of the polynomial.

The given zeros are -1, 1, -4i, 4i. So,

$f(x)=(x-1)(x+1)(x+4i)(x-4i)$

$f(x)=(x^2-1^2)(x^2-(4i)^2)$

$f(x)=(x^2-1)(x^2+16)$ $[\because i^2=-1]$

$f(x)=x^2(x^2+16)-1(x^2+16)$

$f(x)=x^4+16x^2-x^2-16$

$f(x)=x^4+15x^2-16$

Therefore, the required polynomial is $f(x)=x^4+15x^2-16$ .

4 0

3 years ago

At the supermarket Pryslide, 500ml bottles of shower gel cost $7 each. However, since the beginning of last week there has been

max2010maxim [7]

Answer:

I strongly believe that the question requires us to calculate the cost of one 500ml bottle of shower gel based on this special offer of buy 2 bottles get another for just $2.

The correct answer is $5.33

Step-by-step explanation:

From a buyer's point of view,a 500ml bottle of shower gel cost is the $7 multiplied by 2 bottles plus $2 multiplied by 1 bottle all divided by 3 bottles.

The rationale for the denominator is that the total number of bottles bought would then equal 3 bottles .

Cost per bottle =($7*2)+($2*1)/3=$16/3=$5.33

Instead of a bottle costing $7,under the special arrangement a bottle would simply cost $5.33

7 0

4 years ago

All of Ralph’s ranch land was divided equally among his six children whose daughter land portion of the ranch land was divided a

Nitella [24]

Answer: 1/24 of Ralph's land

Step-by-step explanation:

Ralph gave each of his children a 6th of his land.

= 1/6

Lynn being his daughter got 1/6 of his land. She then shared it to her 4 children.

Children got 1/4 of Lynn's land which is 1/6 of Ralph's land.

Lynn's children therefore got;

= 1/4 * 1/6

= 1/24 of the land

5 0

3 years ago

In circle K , diameter CD is drawn and point E is located on the circle such that CE=16 and DE=30 .What is the length of the rad

egoroff_w [7]

Answer:

The length of the radius of the circle K is $17\ units$

Step-by-step explanation:

we know that

The triangle CDE is a right triangle with the 90 degree angle at point E

so

Applying the Pythagoras Theorem

Find the length of CD (diameter of the circle K)

$CD^{2}=CE^{2}+DE^{2}$

substitute the values

$CD^{2}=16^{2}+30^{2}$

$CD^{2}=1,156$

$CD=34\ units$

Find the radius

Remember that the radius is half the diameter

so

$r=34/2=17\ units$

7 0

3 years ago

FINDING PERIMETER need help right now<br>

Leni [432]

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.

6 0

3 years ago