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vivado [14]
2 years ago
10

If possible, factor 169x^2 − y^2.

Mathematics
1 answer:
Mama L [17]2 years ago
7 0

Answer:

(13x - y)(13x + y)

Step-by-step explanation:

Both 169x^2 and y^2 are perfect squares.

The (special) rule for factoring the difference of two squares is

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

Therefore,      169x^2 and y^2 = (13x - y)(13x + y)

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Many games depend on how a ball bounces. For example, if different basketballs rebounded differently, one basketball would bounc
Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

Rebound Height = 111 cm

Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

Starting Height = 72 inches

Rebound Height = 53.5 inches

Squash:

Starting Height = 100 inches

Rebound Height = 29.5 inches

For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.

Calculating the rebound ratio of each balls.

Rebound Ratio = Rebound Height/Starting Height

Tennis: 111/200= 0.556

Soccer Balls: 120/200 = 1.667

Basketball: 53.5/72 = 0.743

Squash: 29.5/100 = 0.295

From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.

8 0
3 years ago
Ray UW is the angle bisector of VUT. If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT? 32° 38° 48° 76°
stepan [7]
Ray UW bisect VUT it means it must be breaking them in two equal parts
VUT=VUW+WUV
and mVUW= mWUV
4x+6=6x-10
-2x=-16
x=8
mWUT=6x-10=6(8)-10=38°

Your answer is 38°


4 0
3 years ago
Read 2 more answers
On a scale drawing a school is 1.6 feet tall the scale factor is 1/22 find the height of the school
vodomira [7]

I believe the school is 35.2 ft. tall. call me out if I'm wrong.

5 0
3 years ago
A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of th
ANEK [815]

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

7 0
3 years ago
If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)​
KengaRu [80]

Answer:

6 : 23

Step-by-step explanation:

a : b = 3 : 4 ....(given)\\  \\ let \: a = 3x \\ b = 4x \\  \\ (6a - 3b) : (5a + 2b) \\  \\  =  \frac{(6a - 3b)}{(5a + 2b)}  \\  \\  = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\  \\  =  \frac{18x- 12x}{15x+ 8x} \\  \\  = \frac{6x}{23x} \\  \\  =  \frac{6}{23}  \\  \\ (6a - 3b) : (5a + 2b) = 6  : 23

7 0
2 years ago
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