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2 years ago

Solve equation by factoring.

Mathematics

1 answer:

3241004551 [841]2 years ago

8 0

Hi ;-)

$x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4$

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mr_godi [17]

Answer:

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Step-by-step explanation:

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A = (3.14)(56.25)

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miskamm [114]

Answer:

$(0,2)$ ; minimum

Step-by-step explanation:

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The given function represent a parabola and can be expressed in vertex form as:

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The vertex form of a parabola is $y=(x-h)^{2}+k$ , where, $(h,k)$ is the vertex.

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In order to graph the given parabola, we find some points on it.

Let $x=-2,y=(-2)^{2}+2=4+2=6$

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The graph is shown below.

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One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.

KiRa [710]

Hello.

First, draw a picture of two parallel lines and a transversal.
Find the two same side angles, either the same side interior or the same side exterior.
We do not know the measurement of the angle, so we'll label it x.
The second angle is 20° smaller than the other one so we'll label is x-20

Same side angles are supplementary. Meaning that they add up to 180°

Next, make an equation.
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The substituted equation should now look like this.
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solve it and you'll get...
x=100

But we're not done.

The angle labeled x is 100°
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And since x=100, the second angle is 100-20=80°
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Hope this helped!

-Emily

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2 years ago