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julia-pushkina [17]

3 years ago

14

A remainder of 0 in the process of synthetic division tells you that you have found a root, or a factor, of the polynomial. True

or false?

2 answers:

lisabon 2012 [21]3 years ago

8 0

Hi , the answer is true , a remainder of 0 in the process of synthetic division tells you that you have found a root or a factor of the polynomial.

mylen [45]3 years ago

6 0

The answer is true because i know

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Somebody help me with this

Alchen [17]

<u>Given</u>:

Given that the quadrilateral ABCD is inscribed in the circle.

The measure of ∠A is (14z - 7)°

The measure of ∠C is (8z)°

The measure of ∠D is (10z)°

We need to determine the measures of ∠A, ∠B, ∠C and ∠D

<u>Value of z:</u>

We know the property that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

Thus, we have;

$\angle A+ \angle C=180^{\circ}$

Substituting the values, we have;

$14z-7+8z=180$

$22z-7=180$

$22z=187$

$z=8.5$

Thus, the value of z is 8.5

<u>Measure of ∠A:</u>

The measure of ∠A can be determined by substituting the value of z.

Thus, we have;

$\angle A=14(8.5)-7$

$\angle A=119-7$

$\angle A=112^{\circ}$

Thus, the measure of ∠A is 112°

<u>Measure of ∠C:</u>

The measure of ∠C can be determined by substituting the value of z.

Thus, we have;

$\angle C=8(8.5)$

$\angle C =68^{\circ}$

Thus, the measure of ∠C is 68°

<u>Measure of ∠D:</u>

The measure of ∠D can be determined by substituting the value of z.

Thus, we have;

$\angle D=10(8.5)$

$\angle D=85^{\circ}$

Thus, the measure of ∠D is 85°

<u>Measure of ∠B:</u>

The angles B and D are supplementary.

Thus, we have;

$\angle B+ \angle D=180^{\circ}$

Substituting the values, we get;

$\angle B+ 85^{\circ}=180^{\circ}$

$\angle B=95^{\circ}$

Thus, the measure of ∠B is 95°

8 0

4 years ago

Read 2 more answers

What numbers add together to get -1 3/4

azamat

Answer: -1 and -3/4 (-0.75)

Step-by-step explanation: -1 + -3/4 = -1 3/4

7 0

4 years ago

Read 2 more answers

Is 8, 11.5, 8.5 a right triangle?

Jlenok [28]

Answer:

Monkey says NO

Step-by-step explanation:

It was close, but banana was 1.7 banana short. sorry for your loss.

8 0

3 years ago

What is the inverse of this function?

kolbaska11 [484]

Answer:

$f^{-1}(x)=4x^2-3$

Step-by-step explanation:

<u>The Inverse of a Function</u>

Given a function f(x), the inverse of f, called $f^{-1}(x)$ is a function that satisfies:

$f(f^{-1}(x))=x$

The domain of f becomes the range of its inverse and vice-versa.

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

* Solve the equation for x.

* Swap the variables

We are given the function:

$\displaystyle f(x)=-\frac{1}{2}\sqrt{x+3}$

Defined in the interval x ≥ -3

Note f is always negative, thus its range is f(x) ≤ 0

Now we find the inverse. Call y=f(x):

$\displaystyle y=-\frac{1}{2}\sqrt{x+3}$

Multiplying by 2:

$\displaystyle 2y=-\sqrt{x+3}$

Squaring both sides:

$\displaystyle 4y^2=x+3$

Subtracting 3:

$\displaystyle 4y^2-3=x$

Swapping variables:

$y=4x^2-3$

Thus:

$\mathbf{f^{-1}(x)=4x^2-3}$

The domain of the inverse is the range of f, thus x is restricted to

x ≤ 0

5 0

3 years ago

What two numbers multiplies to 16 and adds to -17?

stepan [7]

-16 and -1 multiply to be 16, but add to be -17

4 0

3 years ago