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3 years ago

Determine the domain of the function.

Mathematics

1 answer:

pav-90 [236]3 years ago

4 0

$Domain \ of \ \frac{\sqrt{x + 3}}{(x + 8)(x - 2)}=(-3\leq x < 2) \cup (2 < x < \infty)$

i.e. x ≥ –3, x ≠ 2

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(c³d)a(cd⁷)a<br>Simplify <br>

Veseljchak [2.6K]

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

5 0

2 years ago

The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K

GREYUIT [131]

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$M(2, 1) = (x_1, y_1)$

$P(12, 6) = (x_2, y_2)$

$m = 3, n = 2$

Plug in the necessary values to find the coordinates of K:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{3(12) + 2(2)}{3 + 2}$

$x = \frac{36 + 4}{5}$

$x = \frac{40}{5}$

$x = 8$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{3(6) + 2(1)}{3 + 2}$

$y = \frac{18 + 2}{5}$

$y = \frac{20}{5}$

$y = 4$

The coordinates of K = (8, 4)

3 0

3 years ago

HELP PLZ Derek’s favorite clothing store is having their annual fall sale. All clothing is 25 percent off. A shirt he really lik

Naya [18.7K]

Answer:

Step-by-step explanation:

257

3 0

3 years ago

The formula for the slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is m=?

Ad libitum [116K]

The formula to find the slope of a line is $\frac{y_{2} - y_{1}}{x_{2}-x_{1}}$ .

I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.

3 0

3 years ago

The height of a triangle is 2cm more than the base of the height is increased by 2cm while the base remains the same the new are

san4es73 [151]

Answer:

Remember that a triangle's area is bh/2, where

b = base

h = height

So. You start with a triangle of base b and height h, add 2 to the height, and get a triangle of area 82.5.

b(h+2)/2 = 82.5

b(h+2) = 165

What you want to do from here is test the b and h from the choices given, and figure out which b and h satisfy this.

(a) If b=13 and h=15, b(h+2) = 221 nope.

(b) If b=9 and h=11, b(h+2) = 117 nope.

Step-by-step explanation:

4 0

3 years ago