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3 years ago

What are the roots of the polynomial equation? x^2 + x -72 =0

1 answer:

3 0

There are many ways you can go. I'm going to start out factoring the whole thing.
(x+9)(x-8) = 0
seperate these into two different equations.
x+9 = 0 and x-8 = 0
x= -9 x=8
Make sure you check it by substituting. Sometimes you might have to reject an answer. In this case you don't. Therefore, 8 and -9 are your roots!

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13x-11 +18x15+ 4x+1=180°

BARSIC [14]

Answer:

x = - 80/17, or x = - 4 $\frac{12}{17}$

Step-by-step explanation:

13x-11 +18×15+ 4x+1=180°

<=> (13x + 4x) + (18×15+ 1 - 11)=180°

<=> 17x + 260 =180

<=> 17x = 180 - 260

<=> 17x = - 80

<=> x = - 80/17

<=> x = - 4 $\frac{12}{17}$

6 0

3 years ago

8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)

Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let $D(5, 7) = (x_2, y_2)$

$C(?, ?) = (x_1, y_1)$

$M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})$

Rewrite the equation to find the coordinates of C

$2 = \frac{x_1 + 5}{2}$ and $4 = \frac{y_1 + 7}{2}$

Solve for each:

$2 = \frac{x_1 + 5}{2}$

$2*2 = \frac{x_1 + 5}{2}*2$

$4 = x_1 + 5$

$4 - 5 = x_1 + 5 - 5$

$-1 = x_1$

$x_1 = -1$

$4 = \frac{y_1 + 7}{2}$

$4*2 = \frac{y_1 + 7}{2}*2$

$8 = y_1 + 7$

$8 - 7 = y_1 + 7 - 7$

$1 = y_1$

$y_1 = 1$

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let $A(-2, -9) = (x_2, y_2)$

$B(?, ?) = (x_1, y_1)$

$M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})$

$-4 = \frac{x_1 - 2}{2}$ and $-5 = \frac{y_1 - 9}{2}$

Solve for each:

$-4 = \frac{x_1 - 2}{2}$

$-4*2 = \frac{x_1 - 2}{2}*2$

$-8 = x_1 - 2$

$-8 + 2 = x_1 - 2 + 2$

$-6 = x_1$

$x_1 = -6$

$-5 = \frac{y_1 - 9}{2}$

$-5*2 = \frac{y_1 - 9}{2}*2$

$-10 = y_1 - 9$

$-10 + 9 = y_1 - 9 + 9$

$-1 = y_1$

$y_1 = -1$

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0

4 years ago

svetoff [14.1K]

Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

$Orna\ ments = 2$

$Time = 4$

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

$Unit\ Rate = \frac{Orna\ ments}{Time}$

Substitute values for Time and number of ornaments

$Unit\ Rate = \frac{2}{4}$

$Unit\ Rate = \frac{1}{2}$

<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>

3 0

2 years ago

What is the solution to the compound inequality 5x + 7 ≤ −8 or 3x + 7 > 19?

Korvikt [17]

5x + 7 ≤ −8 or 3x + 7 > 19

5x ≤ - 15 or 3x > 12

x ≤ - 3 or x > 4

Answer

x ≤ - 3 or x > 4

8 0

3 years ago

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST

MaRussiya [10]

Answer: 6773.27

Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola

6 0

3 years ago