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1 year ago

10

The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expr

ession completely. Show your work

1 answer:

pochemuha1 year ago

6 0

Answer:

Length of each side 3/2 or 1.5 square units

Step-by-step explanation:

(4^2 − 12x + 9)

=(2x-3)(2x-3)

2x-3=0

2x=3

x=3/2

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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop

Anna71 [15]

Answer:

1/9

Step-by-step explanation:

135 in Sport centre: Total

59:swimming pool

31:track

19 both swimming and gym

16 gym and track

4 all three facilities

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is

4/36=1/9

Hope this helps!!!

6 0

1 year ago

Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len

alexira [117]

Answer:

HJ = 8 JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5) + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

5 0

1 year ago

Please help!! I need to get this done! Im begging you, brainliest and points!

Viefleur [7K]

Answer:

<em>Solution; ( 1, 0 ), and ( - 3, 4 )</em>

Step-by-step explanation:

See procedure below;

First let us make these two functions ( y = -x + 1 , y = x^2 + x - 2 ) equivalent;

- x + 1 = x^2 + x - 2,

-x - x + 1 + 2 - x^2 = 0,

- 2x + 3 - x^2 = 0,

x^2 + 2x - 3 = 0,

Now factor the simplified equation;

x^2 + 2x - 3 = 0,

( x^2 - x ) + ( 3x - 3 ) = 0,

x ( x - 1 ) + 3 ( x - 1 ) = 0,

( x - 1 )( x + 3 ) = 0,

And solve for x;

x - 1 = 0, and x + 3 = 0,

x = 1, and x = - 3

Now substitute this value of x into the two functions as to receive the y values for each x - value;

y = - ( 1 ) + 1, <em>y = 0 for x = 1</em>,

y = ( - 3 )^2 - 3 - 2, y = 9 - 3 - 2, <em>y = 4 for x = - 3</em>,

<em>Solution; ( 1, 0 ), and ( - 3, 4 )</em>

8 0

1 year ago

It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with

noname [10]

Answer:

The null and alternative hypothesis for this test are

$H_0: \mu\ge 215\\\\H_1: \mu< 215$

Step-by-step explanation:

If we perform a hypothesis test, we can reject or not reject the null hypothesis.

To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis $H_0: \mu\ge 215$ and then go on with the analysis to reject it (or not).

If the null hypothesis is rejected, the claim of the manufacturer is rigth.

The alternative hypothesis would be $H_1: \mu$ , that would turn rigth if the null hypothesis is rejected.

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1 year ago

There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the

alexira [117]

Answer:

1/3

Step-by-step explanation:

Of the numbers between 1 and 12, the numbers that are multiples of 4 or 6 are: 4, 6, 8, 12.

So the probability is 4/12, or 1/3.

3 0

1 year ago