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Ahat [919]
3 years ago
14

PLEASE HELP 30 POINTS AND BRANILEST

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

Go through the explanation you should be able to solve them

Step-by-step explanation:

How do you know a difference of two square;

Let's consider the example below;

x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.

Let's consider another example,

2x^2 - 18

If we divide through by 2 we have:

2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above

Let's take another example;

x^6 - 64

The above expression is the same as;

(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.

Let's take another example

a^5 - y^6 ; a^5 - (y ^3)^2

We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square

Lastly let's consider

a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to

(a^2 + b^2) ( a^2 - b^2)

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He Earth completely rotates on its axis once every 24 hours.
mafiozo [28]

Answer:

A)

58/3 = 19.33 hours

B)

84.00 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through  360 degrees or 2π radians.

A)

In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;

(24/360) = (x/290)

solving for x;

x = (24/360) * 290 = 58/3 = 19.33 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;

(24/2π radians) = (x/7π radians)

Solving for x;

x = (24/2π radians)*7π radians = 84 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

7 0
2 years ago
Angle x and angle y are complementary. Angle x is supplementary to a 128 degrees angel. What are the measures of angle x and y
Irina18 [472]

Answer: x is 52 and y is 38.

Step-by-step explanation:

x+128=180

x=52

52+y=90

y=38

5 0
3 years ago
Read 2 more answers
What is 1102 using the polynomial identity (a+b)2=a2+2ab+b2 ?
Virty [35]

Answer:

"Let the smaller value a = <u>10</u> and the larger value b = <u>100</u>. Than a^2 + 2ab + b^2 is <u>10^2 + 2 * 10 * 100 + 100^2</u>. This can be simplified to <u>12100</u>. So, 110^2 is equal to <u>12100</u>."

Hope this helped!

7 0
2 years ago
Read 2 more answers
A triangle has one angle that measures 39 degrees, one angle that measures 104 degrees, and one angle that measures 37 degrees.
Nikitich [7]

Answer: Scalene triangle

Step-by-step explanation:

All triangles have three sides with specific lengths and angles, but a scalene triangle is a kind of triangle that has each of its three sides to be of different lengths and angles.

Hence, a triangle that measures 39°, 104°, and 37° definitely has three sides with different lengths and angles.

Thus, it is a scalene triangle.

8 0
3 years ago
If x = 0 and y &gt; 0, where is the point (x,y) located?
pochemuha

Answer: it would be 13

Step-by-step explanation:

8 0
3 years ago
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