All categories

3 years ago

Find the equalivent exponential expression of (9^3)^4

1 answer:

5 0

The rule is:

(a^b)^c=a^(b*c)

In this case:

(9^3)^4=9^(3*4)=9^12

and if you wanted it more simplified you could say:

9^12=(3^2)^12=3^(2*12)=3^24

You might be interested in

Algebra 2 help plsass

Novosadov [1.4K]

Answer:

Step-by-step explanation:

6 0

3 years ago

3. Determine which of the following pairs is an adjacent side for quadrilateral MOLE below.

yKpoI14uk [10]

Pairs which is Adjacent side for quadrilateral MOLE is given below.

Step-by-step explanation:

Given:

Quadrilateral MOLE

Pair of adjacent sides of the quadrilateral.

Adjacent sides have one vertex common.

Option A: MO and LE

These sides does not have common vertex.

MO and LE are opposite sides in the quadrilateral MOLE.

It is not true.

Option B: EO and ME

In the quadrilateral, ME is not a side.

So it is not true.

Option C: LE and OL

In the quadrilateral, OL is not a side.

So it is not true.

Option D: ML and LE

These sides have common vertex L.

Therefore ML and LE are pair of adjacent sides.

It it true.

Hence ML and LE is a pair of adjacent side for quadrilateral MOLE.

7 0

2 years ago

Write an equation of the perpendicular bisector of the segment with endpoints G 9,8       and H 3,2      .

Norma-Jean [14]

Answer:

y = -x + 11

Step-by-step explanation:

The equation of a straight line is is given by:

y = mx + b; where m is the slope and b is the y intercept

The equation of the line joining G(9, 8) and H(3, 2) is given as:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-8=\frac{2-8}{3-9}(x-9)\\\\y-8=x-9\\\\y=x-1$

The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).

Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:

x = (9 + 3)/2 = 6

y = (8 + 2)/2 = 5

The midpoint = (6, 5)

Two lines are perpendicular if the product of their slopes is -1.

The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.

This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:

$y-y_1=m(x-x_1)\\\\y-5=-1(x-6)\\\\y-5=-x+6\\\\y=-x+11$

The equation of the perpendicular bisector is y = -x + 11

8 0

3 years ago

What is the relationship between the ratios?

castortr0y [4]

They are not proportional

5 0

3 years ago

Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

patriot [66]

The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:

((x+10)(2x+5)) - ((x+1)(x+1))

First, FOIL both of the areas separately:

(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)

Simplify within the parentheses by adding like terms:

(2x^2 + 25x + 50) - (x^2 + 2x + 1)

Now, subtract one equation from the other:

2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49

This will be the equation for the area.

3 0

3 years ago