All categories

2 years ago

What are the factors of the following quadratic equation 12=x^2-x

1 answer:

8 0

12 = x² - x
12 - 12 = x² - x - 12
0 = x² - x - 12
x² - x - 12 = 0
x = -(-1) +/- √((-1)² - 4(1)(-12))
 2(1)
x = 1 +/- √(1 + 48)
 2
x = 1 +/- √(49)
 2
x = 1 +/- 7
 2
x = 0.5 +/- 3.5
x = 0.5 + 3.5 x = 0.5 - 3.5
x = 4 x = -3

You might be interested in

Please solve the table correctly.

Hitman42 [59]

Answer:

See below.

Step-by-step explanation:

No. Triangles Perimeter

1 14

2 18

3 22

We see from the table, after the first perimeter (= 14), with each increase of 1 in the number of triangles, the perimeter increases by 4.

As an equation it is P = 14 + 4(n - 1) where P = perimeter and n = number of triangles.

4 0

3 years ago

Estimate the area of Alberta in square miles. Show your reasoning

ella [17]

Answer: About $278,250\ mi^2$

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid can be calcualted with the formula:

$A_t=\frac{h}{2}(B+b)$

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

$A_r=lw$

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

$A=\frac{h}{2}(B+b)+lw$

Substituting vallues, you get:

$A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2$

Therefore, the area of of Alberta is about $278,250\ mi^2$ .

5 0

2 years ago

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?

s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

$x^{2} + y^{2}+8x-6y+21=0$

The general equation of the circle is:

$x^{2} + y^{2}+2gx+2fy+c=0$

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

$radius=\sqrt{g^{2} +f^{2} -c }$

Using these values of the given circle, we get:

$radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2$

Therefore, the length of radius of the given circle is 2.

3 0

2 years ago

6771 divided by 44 Quotient: Remainder:

vivado [14]

Answer:

quotient: 152 remainder: 23

Step-by-step explanation: hope that helps :)

can i get brainliest pls?

6 0

3 years ago

Luke can build 2 tables in a day, and he has to build more than 18 wooden tables for a client. If he works for x days, what is t

VARVARA [1.3K]

2x > 18

2x/2 > 18/2

X > 9

6 0

3 years ago