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2 years ago

Factor the binomial 9t to second power,-4 =

Mathematics

1 answer:

Naily [24]2 years ago

3 0

Using subtraction of perfect squares, it is found that the factored expression is:

9t² - 4 = (3t - 2)(3t + 2).

<h3>What is the subtraction of perfect squares factoring?</h3>

It is given as follows:

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

In this problem, the binomial is given as follows:

9t² - 4.

Hence:

a² = 9t² -> a = 3t.

b² = 4 -> b = 2.

Hence the factored expression is:

9t² - 4 = (3t - 2)(3t + 2).

More can be learned about subtraction of perfect squares at brainly.com/question/16948935

#SPJ1

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Can the sum of two mixed numbers be equal to 2

11111nata11111 [884]

Only if you include negatives. The sum of 3 and 1/2 + -1 and 1/2 equals 2..

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4 years ago

A 12" diameter ball rolls around inside the bottom of a rectanglar bow that is 14" wide and 30" long.The ball always touches the

julsineya [31]

Answer:

1. Shape of line drawn by round ball is: Rectangle

2. Length of path round ball creates is: 64 inches

Step-by-step explanation:

The perimeter of the box is 30+30+14+14 = 88 inches.

We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.

The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.

2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.

Width of one side = 14-6 = 8

= 8 inches

Length of one side = 30-6 = 24

= 24 inches

We add together 8+24 = 32, and then multiply by 2

32 *2 = 64

3 0

3 years ago

Can someone please help me!! i need work as well.

Travka [436]

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7 0

3 years ago

Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minu

Nesterboy [21]

Answer:

Ryan practiced 33.66 minutes on Wednesday

Step-by-step explanation:

You do 43.2+37.48 and it equals 80.68

Then you do 114.34-80.68 which equals 33.66

6 0

3 years ago

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

BARSIC [14]

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and r² = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

6 0

3 years ago