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2 years ago

1) 2x – y = 1

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10 Subtract to eliminate the 2x:

2x - 2x - y - 2y = 1 - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

5x – y =15

x + y = -3 Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

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The diagram of PQR below shows the lengths of two sides and an altitude.

goblinko [34]

Answer:

B) Length of PR is 21 unit.

Step-by-step explanation:

In Δ PQR, PQ = 10 unit , and QR = 17 unit (given)

and let, QT⊥ PR.

Now, QT = 8 unit (given)

So, Δ PQT is a right angled triangle right-angled at T .

So. PT = $\sqrt {((PQ)^{2} - (QT)^{2})}$

= $\sqrt {10^{2} - 8^{2}}$

= $\sqrt{36}$ = 6 unit

Similarly,

Δ RQT is a right angled triangle right-angled at T .

So. RT = $\sqrt {((RQ)^{2} - (QT)^{2})}$

= $\sqrt {17^{2} - 8^{2}}$

= $\sqrt{225}$ = 15 unit

So, PR = PT + TR = (15 + 6) unit = 21 unit

3 0

3 years ago

The absolute value function is one-to-one, while the greatest integer function is many-to-one.

s344n2d4d5 [400]

The absolute value function is one-to-one, while the greatest integer function is many-to-one.

Answer: The statement shown above is false. The absolute value function is not not one to one, and the greatest integer function is not many to one. Therefore the correct answer choice is B) False. The best way to find whether a function is one to one is explained in the attachment.

I hope it helps, Regards.