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Nimfa-mama [501]
3 years ago
12

(02.05)

Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

Answer:

......

C............

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The roots of $3x^2 - 4x + 15 = 0$ are the same as the roots of $x^2 + bx + c = 0,$ for some constants $b$ and $c.$ Find the orde
Akimi4 [234]

we are given

quadratic equation as

3x^2-4x+15=0

now, we can find b and c from

x^2+bx+c=0

we can see that coefficient of x^2 is 1

so, we will have to make coefficient x^2 as 1

so, we divide both sides by 3

3x^2-4x+15=0

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now, we can simplify it

x^2-\frac{4}{3}x+5= 0

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x^2+bx+c=0

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(b,c)=(-\frac{4}{3} , 5)..............Answer

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Help me please and thank you
sdas [7]

Answer:

Based on the model, the length of the wall is \frac{9}{8} ft, the width of the wall is \frac{1}{2} ft,  and the height of the wall is \frac{11}{8} ft. The volume of the portion of security wall that  Tim has constructed so far is \frac{99}{128}  cu ft.

Step-by-step explanation:

Given:

The figure constructed shows a rectangular prism made up of small wooden cubes of length \frac{1}{8}\ ft.

Width of the prism = \frac{1}{2}\ ft.

To find length , height and volume of the figure.

Solution:

From the figure we can conclude that :

Length side of the prism counts 9 cubes.

Thus, length of the prism will be given as :

⇒ \textrm{Length of each cube}\times \textrm{Number of cubes}

⇒ \frac{1}{8}\ ft\times 9

⇒ \frac{9}{8}\ ft  (Answer)

Height side of the prism counts 11 cubes.

Thus, height of the prism will be given as :

⇒ \textrm{Length of each cube}\times \textrm{Number of cubes}

⇒ \frac{1}{8}\ ft\times 11

⇒ \frac{11}{8}\ ft (Answer)

Volume of the prism can be given as :

⇒ Length\times width\times height

⇒ \frac{9}{8}\ ft\times \frac{1}{2}\ ft\times \frac{11}{8}\ ft

⇒ \frac{99}{128}\ ft^3 (Answer)

7 0
3 years ago
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