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Oksanka [162]
3 years ago
10

How do you solve an equation by completing the square? Example:

D-8" id="TexFormula1" title=" x^{2}+6x=-8" alt=" x^{2}+6x=-8" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Serga [27]3 years ago
7 0
X²+6x+8=0
x²+2*3x+9-1=0
(x+3)²-1=0
(x+3)²-1²=0
(x+3-1)(x+3+1)=0
(x+2)(x+4)=0
x₁=-2
x₂=-4
Answer: x₁=-2,  x₂=-4
bixtya [17]3 years ago
7 0
x^2+6x=-8\\
x^2+6x+9=1\\
(x+3)^2=1\\
x+3=1 \vee x+3=-1\\
x=-2 \vee x=-4
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Is the difference of two positive rational number always positive explain
Dominik [7]
No . . . while the difference represents the absolute magnitude between two numbers . . . for example . . .

<em>The difference between 5 and 2 is . . . 3</em>
<em>The difference between 6.4 and 9.5 is . . . 3.1</em>

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5 0
3 years ago
What are the intercepts for x and y ? thanks in advance
SpyIntel [72]

Answer:

see explanation

Step-by-step explanation:

The x- intercept is the value of x where the line crosses the x- axis.

The x- intercept is (0.3, 0)

The y- intercept is the value of y where the line crosses the y- axis

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3 0
3 years ago
If x=12 in, y=16, and z=20 in, what is the surface area of the geometric shape formed by this net?
maria [59]

Given:

x = 12 in, y = 16 in and z = 20 in

To find:

The surface area of the geometric shape.

Solution:

Area of top rectangle = z × z

                                    = 20 × 20

Area of top rectangle = 400 in²

Area of middle rectangle = z × y

                                          = 20 × 16

Area of middle rectangle = 320 in²

Area of bottom rectangle = z × x

                                          = 20 × 12

Area of bottom rectangle = 240 in²

Area of left triangle = \frac{1}{2}yx

                                $=\frac{1}{2}\times16\times12

Area of left triangle = 96 in²

Area of right triangle = \frac{1}{2}yx

                                $=\frac{1}{2}\times16\times12

Area of right triangle = 96 in²

Surface area = 400 + 320 + 240 + 96 + 96

                     = 1152

The surface area of the geometric shape is 1152 in².

3 0
3 years ago
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