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Brrunno [24]
4 years ago
10

What value of c makes the trinomial below a perfect square? x^2+9x+c

Mathematics
2 answers:
VLD [36.1K]4 years ago
5 0

Answer:

(\frac{9}{2})^{2}

Step-by-step explanation:

In order to calculate this you just have to rememer the quadratic formula:

a^{2} +2ab+b^{2}

So we know that 2ab=9x, if we clear that ecuation we can solve the value for b:

9x=2ab\\b=\frac{9x}{2x} \\b=\frac{9}{2}

And now we know that b=9/2 and to complete the perfect square we just multiply to the square:

(\frac{9}{2})^{2}

lyudmila [28]4 years ago
4 0
81/4 is the answer , use formula (b/2) squared
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=153/300
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Three times a number added to six is equal to five times the same number.
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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




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</span>
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4 years ago
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Find the value of the indicated angles. PLEASE HELP!!
SSSSS [86.1K]

Answer:

Part 1) The measure of the angle is 47°

Part 2) The measure of the angle is 52°

Step-by-step explanation:

Part 1)

we know that

The inscribed angle is half that of the arc it comprises.

we have that

(12y-1)°=(9y+11)° ----> because the arc that the inscribed angles comprise is the same

Solve for y

12y-9y=11+1

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Find the measure of the angle

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Part 2)

we know that

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we have that

2(3m+2)°=(4m+20)° ----> because the arc that the inscribed angles comprise is the same

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2m=16

m=8

Find the measure of the angle

(4m+20)°=4(8)+20=52°

7 0
4 years ago
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