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ss7ja [257]
3 years ago
8

Solve this equation by completing the square. 3x2 - 4x = -2

Mathematics
1 answer:
lidiya [134]3 years ago
6 0
<span>Solve this equation by completing the square. 3x^2 - 4x = -2
</span>Step 1:
Divide by the leading coefficient (coef. of x^2), and transpose.
(3x^2 - 4x)/3 = -2/3
x^2-2(2/3)x = -2/3
Complete the square, 
(x-2/3)^2 - 4/9 = -2/3
Solve for (x-2/3)
(x-2/3)^2= -2/3 + 4/9 = -2/9
x-2/3 = ± (√2)i/3
Solve for x
x=2/3± (√2)i/3
or
x=(2±(√2)i)/3

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Answer:

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2 years ago
In ∆GHI, the measure of I=90°, the measure of G=82°, and GH = 3.4 feet. Find the length of HI to the nearest tenth of a foot.​
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Step-by-step explanation:

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3 0
3 years ago
Ashley has a rectangle made out of paper that is 8 cm by12 cm. She folds it in half twice, first vertically and then horizontall
Svetach [21]

Answer:

Area =24cm^2

Step-by-step explanation:

Given

L = 8cm

W = 12cm

r = 2 -- folded twice

Required

The area of the new rectangle

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l = L/2 = 8cm/2 = 4cm

When the width was folder, the new width is:

w = W/2 = 12cm/2 = 6cm

So, the new area is:

Area =l * w

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8 0
2 years ago
-6a-7<br><img src="https://tex.z-dn.net/?f=%20-%206a%20-%207%20%5Cleqslant%2017" id="TexFormula1" title=" - 6a - 7 \leqslant 17"
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-6a-7\leq17\ \ \ \ |+7\\\\-6a\leq24\ \ \ \ |\text{change the signs}\\\\6a\geq-24\ \ \ |:6\\\\a\geq-4

3 0
3 years ago
The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
LenaWriter [7]

Answer:

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and   r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π  =  2πr/2π

23/2   =  r

radius =   \frac{23}{2}  m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle   and   r is the radius of the circle

A = π ( \frac{23}{2} )²

A = \frac{529}{4}  π  m²    or      132.25 π  m²

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

6 0
3 years ago
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