Which equation would be the best to solve by completing the square?

Sunny_sXe [5.5K]

Answer:

G

Step-by-step explanation:

difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)

8 0

3 years ago

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 85 inches, and a standard d

RSB [31]

Answer:

Probability of choosing number = 0.9192

Step-by-step explanation:

Given:

New mean = 87.8

Mean = 85

Standard deviation = 14

Number picked = 49

Find:

Probability of choosing number

Computation:

Probability of choosing number = [New mean - Mean] / [Standard deviation / √Number picked]

Probability of choosing number <= [(87.8-85)]/[(14/7)]

Probability of choosing number = 0.9192

3 0

3 years ago

What is the area of this circle?

Talja [164]

Answer:

pie * r^2 bro where r= 10mi

7 0

2 years ago

According to the Rational Root Theorem, -2/5 is a potential rational root of which function? ) = 4x4.72#*#25 O Foxo = 9x47x+10 O

Helga [31]

Answer:

Option (4)

Step-by-step explanation:

Option (1)

f(x) = 4x⁴- 7x²+ x + 25

Possible rational roots will be,

$\frac{\pm \text{Factors of constant term '25'}}{{\pm \text{Factors of leading coefficient '4'}}}$

For the given function,

Possible rational roots = $\frac{\pm 1, 5, 25}{\pm 1,2}$

= $\pm 1, \pm 5, \pm 25, \pm \frac{1}{2},\pm\frac{5}{2},\pm\frac{25}{2}$

Therefore, $-\frac{2}{5}$ is not the possible root.

Option (2)

f(x) = 9x⁴- 7x²+ x + 10

Possible rational roots = $\frac{\pm 1,\pm 2,\pm 5,\pm10}{\pm 1,\pm3,\pm9}$

Therefore, $-\frac{2}{5}$ is not the possible root.

Option (3)

f(x) = 10x⁴- 7x²+ x + 9

Possible rational roots = $\frac{\pm1, \pm3, \pm9}{\pm 1,\pm2,\pm5,\pm10}$

Therefore, $-\frac{2}{5}$ is not the possible root.

Option (4)

f(x) = 25x⁴- 7x²+ x + 4

Possible rational roots = $\frac{\pm 1,\pm2,\pm5}{\pm1,\pm5,\pm 25}$

= $\pm1,\pm2,\pm5,\pm\frac{1}{5},\pm\frac{1}{25},\pm\frac{2}{5},\pm\frac{2}{25}$

Therefore, $-\frac{2}{5}$ is the possible rational root.

Option (4) will be the answer.

7 0

3 years ago

ABCE is a trapet AD is parallel to BC DE=4cm area of ABCE=60cm?area of ABCD=48cm work out the values of f and g show all your wo

8090 [49]

Answer:

The value are

f = 6 cm

g = 8 cm

Step-by-step explanation:

Given:

ABCE is Trapezium

AD || BC

AD = BC = f

CD = g

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

To Find :

f = ?

g = ?

Solution:

In the figure ∠ C = 90° and AD || BC

∴ ∠ D = 90° .....Corresponding angles are equal

∴ ABCD is RECTANGLE With Length = f and Breadth = g

∴ $\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\$

$\textrm{Area of Triangle AED}= \textrm{Area of Trapezium ABCE}-\textrm{Area of Rectangle ABCD}\\=60-48\\=12\ cm^{2} \\\therefore \textrm{Area of Triangle AED} = \frac{1}{2}\times AD\times DE\\12 =\frac{1}{2}\times f\times 4\\ f=\frac{24}{4}\\\therefore f= 6\ cm$

Now,

∴ $\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\$

$\therefore 48 = f\times g\\48= 6\times g\\\therefore g =\frac{48}{6}\\ g=8\ cm$

The value are

f = 6 cm

g = 8 cm

5 0

3 years ago