Factor 12x6 - 27y4 completely

Evaluate the power: (−3)^4 A. 81 B. -81 C. 243 D. -331

Agata [3.3K]

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

${3}^{4}$

Simplify.

$81$

hence, the answer is Option A) 81.

7 0

3 years ago

Read 2 more answers

Write a division problem that will have a two digit quotient and another division problem that will have a 3 digit quotient. Exp

il63 [147K]

48 divided by 2 = 24
3333 divided by 6 = 555.5

5 0

3 years ago

Solve for b

Alex73 [517]

Answer:

b= $\sqrt{21}$

Step-by-step explanation:

Considering the given figure the sides 'b' , '2' and '5' are making the sides of a right angled triangle in the top right corner of the square, where

Hypotenuse=5 , Perpendicular=b and Base=2

Using Pythagoras Theorem:

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\$

Implementing the values in the formula:

$5^2= b^2+2^2$

$b^2=5^2-2^2\\\\b^2=25-4\\\\b^2=21\\\\b=\sqrt{21}$

So, the value of 'b' is $\sqrt{21}$ which is same for the the given 'b' in the figure.

7 0

3 years ago

Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

The complete question in the attached figure

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

7 0

3 years ago

8x + 5 = 29 -5 -5 8x/8 =24/8. X=3

forsale [732]

Answer:

12

Step-by-step explanation:

8 0

3 years ago