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dedylja [7]
3 years ago
9

Questions one through four

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0
THE ANSWER TO YOUR QUESTION IS:

1 A,
2 C,
3 D,
4 B
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Suppose that $a$ is a positive integer for which the least common multiple of $a+1$ and $a-5$ is $10508$. What is $a^2 - 4a + 1$
Nana76 [90]

Answer:

21022.

Step-by-step explanation:

Find the prime factors of 10508:

2 ) 10508

2 ) 5254

37 ) 2627

       71.

50208 = 2*2*37*71.

Now there is no integer value for a that would fit  (a+ 1)(a - 5) = 10508 .

But we could try multiplying the LCM by 2:-

= 21016  = 2*2*2*37*71.

= 2*2*37 multiplied by 2 * 71

= 148 * 142.

That looks promising!!

a - 5 = 142 and

a + 1 = 148

This gives  2a - 4 = 290

2a = 294

a = 147.

So substituting a = 147 into a^2 - 4a + 1 we get:

= 21022.

4 0
4 years ago
True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement us
vivado [14]

Answer:

The statement is true

Step-by-step explanation:

Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)

5 0
3 years ago
John has a map that shows a rectangular park 1 1/4 cm : 8 yd. on the map, the width of the park is 2 1/2 cm. What is the parks a
Ber [7]

Answer:

16 yd.  This is the park's actual length.

Step-by-step explanation:

Write and solve an equation of ratios:

1 1/4 cm     8 yd

------------ = -----------

2 1/2 cm        x

Note that 2(1 1/4 cm) = 2 1/2 cm, so the above equation becomes:

 1       8 yd

----- = ---------

  2         x

Solving for x, we get x = 16 yd.  This is the park's actual length.

3 0
3 years ago
HELP HELP I WILL MARK BRAINLIEST IF YOU HELP ME
Tpy6a [65]

Answer:

x = 8

Step-by-step explanation:

In order for the triangles to be similar, corresponding side must be in proportion.

So, FE/ZY = FD/ZX

      6/12 = (2x - 5)/22

6(22) = 12(2x - 5)

132 = 24x - 60

24x = 192

x = 8

8 0
3 years ago
Suppose the federal reserve increases the amount of reserbed by $100 million and the total money supply increases by $500 millio
mash [69]

Answer: $400 million

Step-by-step explanation: $500-100= $400 million :)

4 0
3 years ago
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