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IrinaVladis [17]
3 years ago
7

Which are the solutions of x2 = –7x – 8?

Mathematics
2 answers:
vovangra [49]3 years ago
7 0

Answer:

The solutions are:

x_1=\frac{-7+\sqrt{17}}{2}     x_2=\frac{-7-\sqrt{17}}{2}

Step-by-step explanation:

We have the following quadratic equation

x^2 = -7x - 8

We can rewrite the equation as follows

x^2+7x + 8=0

Now we use the quadratic formula to solve the equation

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1,\ b=7,\ c=8

Then:

x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}

x=\frac{-7\±\sqrt{49-32}}{2}

x=\frac{-7\±\sqrt{17}}{2}

x_1=\frac{-7+\sqrt{17}}{2}

x_2=\frac{-7-\sqrt{17}}{2}

pishuonlain [190]3 years ago
4 0

Answer:

D on ed :)

Step-by-step explanation:

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<u>650 cannonballs </u>

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third layer = 3 ^ 2

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5 0
3 years ago
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In parallelogram ABCD, what is DC?<br><br> DC = in.
expeople1 [14]
Since ABCD is a parallelogram, line AB and line DC are parallel and has the same value.

To solve this, equate line AB to be equal with line DC.
So,
Line AB = Line DC
(9x-14)in = (3x +4)in
Next group like terms to get the value of x
9x in-3x in = 4in+14in
\frac{6x}{6} = \frac{18in}{6}
x = 3in

Since, we now have the value of x, substitute it to line DC’s equation.
DC=(3x+4)in
DC=(3(3) +4)in
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To check if the value is really correct, substitute X to AB
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7 0
3 years ago
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max2010maxim [7]
A 8 as the 2 labelled lengths will be the same; 2 x 8 = 16
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How are y-intercepts of y=(1/3)^x and y=5(1/3)^x different?
loris [4]
Remark.
The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x

Comment
The red line's y intercept is (0,1)
The blue line's y intercept is (0,5)

Why
If the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y =  5*(1/3)^0 = 5*1 = 5

In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x

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Simplify the given expression. (p+6)(p-4)
vampirchik [111]

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