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Bezzdna [24]
3 years ago
14

It is known that:the pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.

Mathematics
2 answers:
kicyunya [14]3 years ago
8 0

Answer:

a = 3

Step-by-step explanation:

Fill in the given values:

a*5-2*7 = 1 =>

5a = 1 + 14

a = 15/5 = 3

Ierofanga [76]3 years ago
4 0

Answer:

a=3

Step-by-step explanation:

First, you replace the variables x and y in the equation with their respectful values, making the equation 5a-2(7)=1.

Then, you simplify the -2(7), which equals 14, making the equation 5a-14=1.

Then, you add 14 from both sides, making the equation 5a=15.

Finally, you divide both sides by 5, making the answer a=3.

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8 0
2 years ago
Consider the following.
san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k   or    x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

  • x = -3pi
  • x = -pi
  • x = pi
  • x = 3pi
  • x = 5pi

and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).

3 0
3 years ago
Plz answer with work
V125BC [204]

Answer:

Calculate 93% of 29.96.

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6 0
2 years ago
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ohaa [14]
The answer is either C or D hope that helped a little
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3 years ago
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KatRina [158]

Answer:

area = 3 \times 3 \times \pi = 9\pi

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3 years ago
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