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Archy [21]
2 years ago
13

Factorize y2-5y+6 by factor theorem

Mathematics
2 answers:
fgiga [73]2 years ago
5 0

Answer: (y - 2) (y -3)

Step-by-step explanation:

Aleksandr-060686 [28]2 years ago
4 0

Answer:

(y-3)(y-2)

Step-by-step explanation:

1.  y2-5y+6  Use the sum-product pattern

2. y2-2y-3y+6 Common factor from the two pairs

3. y(y-2)-3(y-2) Rewrite in factored form

4. (y-3)(y-2)   Solution

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What is the GCF of 54 and 32?
Musya8 [376]
3
32: 2 2 2 2 2
GCF: 2
8 0
3 years ago
Read 2 more answers
1. Find m2K.
Kruka [31]

Answer:

m∠k = 60°

Step-by-step explanation:

  • an exterior angle of a triangle is equal to the sum of the opposite interior angles

4x + 2 + 6x - 12 = 130

to find x:

4x + 2 + 6x - 12 = 130

4x + 6x = 130 - 2 + 12

10x = 120

x = 120/10

x = 12

apply the value of x to find the measure of angle K:

k = 6*12 - 12 = 60

5 0
3 years ago
a tour-bus operator sold $1,517 worth of tickets for a trip to Niagara Falls. Each tickets cost the same amount and could be pai
prisoha [69]

We will make use of the concept of prime factors for solving this question. The prime factors of 1517 are:

1517=37\times 41

So, as can be clearly seen the Niagara Fall tour operator can either sell 37 tickets for $41 each or 41 tickets for $37 each.

Now, we know that we cannot reach $37 using just three bills. Thus, the only option left to us is $41 which can be broken down into three bills of $20,$20 and $1. This satisfies our condition.

Thus the cost of a ticket was $41 and 37 such tickets were sold.

3 0
3 years ago
On monday there were 92 fish in the fish tank on tuesday 4 fish were sold on wednesday 1 fish was sold on thursday 4fish were ad
Julli [10]
Monday=92
Tuesday=88
Wednesday=87
Thursday=91
Friday=88
There are 88 fish remaining
7 0
3 years ago
A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a city 70 miles north of the t
son4ous [18]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

4 0
3 years ago
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