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omeli [17]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

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If (1/4)^(x+y) = 256 and log₄(x-y) = 3, what are the exact values of x and y
andrew-mc [135]

Answer:

x = 30 and y = -34

Step-by-step explanation:

Given the following functions

(1/4)^(x+y) = 256... 1

log₄(x-y) = 3.... 2

From equation 2;

x-y = 4³

x-y = 64

x = 64 + y ... 3

Substitutw 3 into 1

From 1:

(1/4)^(x+y) = 256

(1/4)^(64+y+y) = 256

(1/4)^(64+2y) = 256

Take log₄ of both sides

64+2y log₄ (1/4) = log₄256

-(64+2y) = 4log₄4

-(64+2y) = 4

64+2y = -4

2y = -4 - 64

2y = -68

y = -34

Since

x = 64 + y .

x = 64 - 34

x = 30

Hence x = 30 and y = -34

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jek_recluse [69]
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The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro
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Step-by-step explanation:

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