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TEA [102]
3 years ago
11

If 2x + y = 12 and x + 2y = -6, then find the value of 2x + 2y

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0
2x + y = 12
2x = 12 - y

x + 2y = -6
2y = -6 - x

2x + 2y
12 - y + (-6) - x
12 + (- 6) - y - x
12 - 6 - y - x
6 - y - x

Answer: - x - y + 6
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The radius of a cylinder is 3 cm and the height is 6 cm.
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Answer

Step-by-step explanation:

A=2πrh+2πr2=2·π·3·6+2·π·32≈169.646

5 0
3 years ago
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Which statement describes the function y = axn when a = 1 and n is odd?
kiruha [24]

Answer:

The graph is symmetric about the origin.

The graph does not pass through the origin.

Step-by-step explanation:

We're given:

  • the function y=axn
  • a = 1
  • n is odd

Because a = 1, then the given function can be rewritten as y = n.

  • The graph opens down

The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.

  • The graph is symmetric about the origin.

This is true, given the graph is a horizontal line.

  • The graph does not pass through the origin.

This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.

  • The graph has more than one x-intercept.

This would only be true when n = 0, and this isn't possible. So, no.

4 0
2 years ago
Read 2 more answers
What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4
aev [14]

Answer:

\large\boxed{y=3x-11}

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\y=3x-4\to m_1=3\\\\\text{Therefore}\ m_2=3.\\\\\text{We have the equation:}\ y=3x+b.\\\\\text{Put the coorsdinates of the point (2, -5) to the equation of the line}\\\\-5=3(2)+b\\-5=6+b\qquad\text{subtract 6 from both sides}\\-11=b\to b=-11

7 0
3 years ago
On a car trip Sam drove m miles Kara drove twice as many miles as Sam and Darin drove 20 fewer miles than Kara in terms of m man
frutty [35]

Answer:

Darin drove '2m - 20' miles.

Step-by-step explanation:

We are given that Sam drove 'm' no. of miles.

As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.

Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.

Hence, in terms of m, Darin drove '2m - 20' miles.

5 0
3 years ago
Find the area of the shaded region. Factor, if possible.
MissTica
Um, is this the picture?
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