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4 years ago

In the standard (x, y) coordinate plane, the point (a, 6) is reflected over the x-axis. What are the coordinates of the

Mathematics

1 answer:

melomori [17]4 years ago

3 0

Answer:

B. (a, -6)

Step-by-step explanation:

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If 2/x+ 3/y =13 and 5/x- 4/y = -2, then x+y equals

creativ13 [48]

Answer:

$x + y = \frac{5}{6}$

Step-by-step explanation:

Let:

$u = \frac{1}{x} \\ v = \frac{1}{y}$

This allows us to manipulate the equations like we normally would.

$2u + 3v = 13 \\ 5u - 4v = - 2 \\ \\ + 8u + 12v = 52 \\ + 15u - 12v = - 6 \\ 23u = 46 \\ u = 2 \\ \\ 2(2) + 3v = 13 \\ 4 + 3v = 13 \\ 3v = 9 \\ v = 3$

Then, we return the values where they belong.

$u = \frac{1}{x} \\ 2 = \frac{1}{x} \\ x = \frac{1}{2} \\ \\ v = \frac{1}{y} \\ 3 = \frac{1}{y} \\ y = \frac{1}{3}$

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3 years ago

If 32 Superscript 2 c Baseline = 8 Superscript c + 7, what is the value of c? 1 2 3 5

eimsori [14]

Answer:

Option 3 - The value of c is 3.

Step-by-step explanation:

Given : If 32 Superscript 2 c Baseline = 8 Superscript c + 7.

To find : What is the value of c?

Solution :

Superscript denotes the power.

32 Superscript 2 c i.e. $32^{2c}$

8 Superscript c + 7 i.e. $8^{c+7}$

The equation form is $32^{2c}=8^{c+7}$ .

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$(2^5)^{2c}=(2^3)^{c+7}$

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Comparing the base,

$10c=3c+21$

$10c-3c=21$

$7c=21$

$c=\frac{21}{7}$

$c=3$

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So option 3 is correct.

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4 years ago

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