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Ahat [919]
3 years ago
15

How do you solve 4b^2+8b+7=4 using the quadratic formula

Mathematics
2 answers:
Alchen [17]3 years ago
8 0
B= { (-8) ±    Sqrt(8^2)-4(4x(3)  )  } / 2(4)
b={ (-8±)  (Sqrt(16) )  } / 8
b=(-8+4)/8 and b=(-8-4)/8
b= -4/8    and b=-12/8
b=-1/2  and b=-3/2
b={-1/2, -3/2} is the solution.
Click image for formula.
Sqrt means Square Root.

lina2011 [118]3 years ago
4 0

4b^2+8b+7=4\\
4b^2+8b+3=0\\\\
x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\
x=\dfrac{-8\pm\sqrt{8^2-4\cdot4\cdot3}}{2\cdot4}\\
x=\dfrac{-8\pm\sqrt{64-48}}{8}\\
x=\dfrac{-8\pm\sqrt{16}}{8}\\
x=\dfrac{-8\pm4}{8}\\
x=\dfrac{-2\pm1}{2}\\
x=\dfrac{-1}{2 }\vee x=\dfrac{-3}{2}\\
x=-\dfrac{1}{2 }\vee x=-\dfrac{3}{2}
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The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require
grigory [225]

Answer:

142.2 meters.  

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.      

Let us find total surface area of box using surface area formula of cuboid.

\text{Total surface area of cuboid}=2(lb+bh+hl), where,

l = Length of cuboid,

b = Breadth of cuboid,

w = Width of cuboid.

\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)

\text{Total surface area of box}=2(2520+432+840)

\text{Total surface area of box}=2(3792)

\text{Total surface area of box}=7584

Therefore, the total surface area of box will be 7584 square cm.  

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}

80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2

\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=14220\text{ cm}

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}

\text{ Length of canvass}=142.20\text{ m}

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0
4 years ago
Is 5359 divisible by 4
amid [387]

Answer:

1339.75

Step-by-step explanation:

No, you will have remainder.

8 0
3 years ago
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Which is the same as multiplying a number by two?
Pachacha [2.7K]
C adding a number to itself 
5 0
3 years ago
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss
julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$

$c^2 > (9)^2 +(14)^2$

$c^2 > 81 +196$

$c^2 > 277$

c > 16.64

Therefore the smallest possible whole number is 17 inches.

4 0
3 years ago
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Expand and simplify 2(5x+3)−2(x 2 −3) ​ =10x+6−(2(x 2 −3))= =10x+6−(2x 2 −6)= =10x+6−2x 2 +6= =−2x 2 +10x+12 ​
gulaghasi [49]

Answer:

-2x² + 10x - 12

Step-by-step explanation:

Given the expression 2(5x+3)−2(x^2 −3) ​

Expand

2(5x+3)−2(x^2 −3) ​

= 2(5x)+2(3) -2(x²)-2(-3)

=  10x + 6 - 2x²+6

= 10x -2x²+12

Express in standard form

= -2x² + 10x - 12

7 0
3 years ago
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