What is the remainder when x^2+4 is divided by x

A rectangle has an area of (x - 17x + 72) square units. Since the area of a rectangle is determined using the formula, A =

Schach [20]

Answer:

Step-by-step explanation:

x² - 17x + 72 = 0

Sum = -17

Product = 72

Factor = 8 , 9

x² - 17x + 72 = 0

x² - 8x -9x + (-8)*(-9) = 0

x(x - 8) -9(x -8) = 0

(x - 8 ) (x - 9) = 0

Length = (x - 8) units

Width = (x - 9) units

5 0

4 years ago

Ray’s favorite gun comes in tape form. He had 5 feet of gum and cut 4 pieces that were each 5/6 foot long. How much fun did he h

Mazyrski [523]

Answer:

5/6

Step-by-step explanation:

8 0

4 years ago

Which statement provides a counterexample to the following faulty definition? A square is a figure with four congruent sides. Qu

Damm [24]

A square is a figure with 4 congruent sides.

This is telling us that a figure with 4 congruent sides is a square. So we need to find other figures with 4 congruent sides that are not squares.

Since you are given choices you are looking for the choice that gives a figure with 4 congruent sides that is not a square. The correct choice is "A 6-sided figure can have 4 congruent sides"

7 0

3 years ago

Read 2 more answers

Ella surveyed the students at her school to find out if they like math and/or science. The table below shows the results of the

Viktor [21]

likes math hates math total
like science 41 22 63
hates science 7 31 38
total 48 53 110

if a student likes science..there are 63 who like science....what is the probability that the student does not like math...of those that like science, 22 do not like math.
so the probability is : 22/63 = 0.0349 = 34.9% <=

7 0

3 years ago

Read 2 more answers

A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a city 33 miles north of the t

Paha777 [63]

Answer:

34.26miles from 49.58miles of the drive (69.11% of the drive).

Step-by-step explanation:

A problem of Analytic Geometry. This question can be solved using the resulting values from equaling the equations of the line (for the drive) and circle (with radius equals 30miles for radio transmitter broadcasting), and calculating the total distances from coincident points between circle and line, and total drive.

A graph is attached showing part of the circle and line with coincident points.

<h3>Line's Equation</h3>

Assuming transmitter is located (0, 0). From a city 33 miles north of the transmitter (0, 33) to a second city 37 miles east of the transmitter (37, 0).

Then, the equation for the line is (taking the two points from the start to the end):

$\\ y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}*(x-x_{1})$

$\\ y-33=\frac{0-33}{37-0}*(x-0)}$

$\\ y-33=\frac{-33}{37}*x}$

$\\ y=\frac{-33}{37}*x} + 33$ [1]

<h3>Circle's Equation</h3>

The equation for the circle whose center (0, 0) is:

$\\ (x-0)^2 + (y-0)^2 = 30^2$

$\\ x^2 + y^2 = 30^2$

$\\ y^2 = 30^2 - x^2$

$\\ y = \frac{+}{-}\sqrt{30^2- x^2}$ [2]

Equaling [1] and [2], to determine the points where starting to receive the radio transmitter signals to the point where finishing those signals:

$\\ \frac{-33}{37}*x + 33 = \sqrt{30^2- x^2}$

Solving this equation for <em>x</em>, we have two solutions for it (from <em>WolframAlpha</em>):

$\\ x_{1} = 40293/2458 - (111 \sqrt(80151))/2458 \approx 3.60775$

$\\ x_{2} = 40293/2458 + (111 \sqrt(80151))/2458 \approx 29.1774$

Then, using [1], the corresponding values for <em>y</em> are:

$\\ y_{1}=\frac{-33}{37}*(3.60775) \approx 29.78$

$\\ y_{2}=\frac{-33}{37}*(29.1774) \approx 6.97$

So,

$\\ (x_{1}=3.61, y_{1}=29.78)$

$\\ (x_{2}=29.18, y_{2}=6.97)$

Well, the distance of the drive is:

$\\ d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

$\\ d = \sqrt{(29.18-3.61)^2 + (6.97-29.78)^2}$

$\\ d \approx 34.2654$ miles.

The total distance traveled is:

$\\ d = \sqrt{(37-0)^2 + (0-33)^2}$

$\\ d \approx 49.5782$ miles

Thus, during the drive, the signal of the radio transmitter was picked up for 34.26miles from the total of the 49.58 traveled, that is, a fraction equivalent to $\\ \frac{34.2654}{49.5782} \approx 0.6911$ or 69.11% of the drive.

4 0

3 years ago

What is the remainder when x^2+4 is divided by x—2?