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Anna11 [10]
3 years ago
15

Solve each system by substitution: {y = -x + 5, 2x + y = 11

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0
I hope this picture helps. I'll elaborate if needed!

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Read 2 more answers
What two numbers' sum=-4 and product=-2
n200080 [17]

Let <em>a</em> and <em>b</em> be the two numbers. Then

<em>a</em> + <em>b</em> = -4

<em>a b</em> = -2

Solve the second equation for <em>b</em> :

<em>b</em> = -2/<em>a</em>

Substitute this into the first equation:

<em>a</em> - 2/<em>a</em> = -4

Multiply both sides by <em>a</em> :

<em>a</em>² - 2 = -4<em>a</em>

Move 4<em>a</em> to the left side:

<em>a</em>² + 4<em>a</em> - 2 = 0

Use the quadratic formula to solve for <em>a</em> :

<em>a</em> = (-4 ± √(4² - 4(-2))) / 2

<em>a</em> = -2 ± √6

If <em>a</em> = -2 + √6, then

-2 + √6 + <em>b</em> = -4

<em>b</em> = -2 - √6

In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.

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2 years ago
Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
timama [110]

Answer:

I put c and d on the test

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2 years ago
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