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lesya [120]
3 years ago
9

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

, and be neat. When you are finished, enter the solution set in the box below and turn in your graph paper to your teacher. x + y = 0 x - y + 2 = 0

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

<h2> (-1,1)</h2>

Step-by-step explanation:

Given system is

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

2x+2=0\\x=\frac{-2}{2}=-1

Then, we replace this value in one equation to find the other value

x+y=0\\-1+y=0\\y=1

Therefore, the solution is (-1,1)

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First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

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Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

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Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

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3 years ago
When you multiply or divide an inequality by a negative number, keep the inequality symbol the same. TrueFalse
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Answer is to the question is false
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Solve the system of two linear inequalities graphically.
Sladkaya [172]

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

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Now, with both x and y inequalities found, graph it.

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2 years ago
A swimming pool is shaped like a right rectangular prism with length 20 feet, height 8 feet,
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Answer:

2,100 cubic feet

Step-by-step explanation:

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The formula is
A=p (1+r)^t
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