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alexdok [17]
3 years ago
5

if alpha and beta are zeroes of polynomial 4x^2-1 obtain a quadratic polynomial whose zeroes are 1/2 alpha+beta and 1/alpha+2 be

ta
Mathematics
1 answer:
AysviL [449]3 years ago
4 0
Ok so 4x2-1 gives us 3
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A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.​
Papessa [141]

<u>Answer:</u>

\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}

<u>Step-by-step explanation:</u>

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}

\bf \implies n_{cubes} = \dfrac{20cm \times  6cm \times 4cm .}{2cm  \times 2cm  \times 2cm } \\\\\bf\implies n_{cubes}  = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }

<h3><u>Hence</u><u> the</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>cubes</u><u> </u><u>that</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>fitted</u><u> </u><u>in</u><u> the</u><u> </u><u>box </u><u>is</u><u> </u><u>6</u><u>0</u><u> </u><u>.</u></h3>

6 0
3 years ago
The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?
Phantasy [73]

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation:\frac{5+x^{2} }{2} =4 \frac{-6+y^{2} }{2} = 3

You multiply 4 by 2 which gives you 8 and write the equation5+x^{2} =8 then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation-6+y^{2}=6 then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates\frac{5+3}{2}=\frac{8}{2} =4 \\  \frac{-6+12}{2} =\frac{6}{2} =3 and you get the answer for the midpoint which is (4,3)

6 0
2 years ago
How many frogs in the population do not have spots on their back
Rudiy27
I would go with then answer 168
Because if 12 of 180 has spots then you would subtract 12 to get how many will not have spots ....thats how I got the answer

Hope I helped Pls mark me as brainliest

8 0
3 years ago
Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department
Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator.  ⇒  1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒  60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of  inspectors  required by the power plant  = m

Now, from the given ratios:

For, 3 electrician there  is 1 generator

⇒ For, 3 x 20 Electrician  there is 1  x 20 Generators.

or, for 60 Electrician there are 20 Generators.   (1)

Also, for 60 Electrician there are 4 inspectors.    (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed  For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

\frac{20}{4}  = \frac{50}{m}\\ \implies  m = 50 \times\frac{4}{20}  = 10

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

3 0
3 years ago
Find the surface area of this prism please (no links please)
horsena [70]

Answer:

192 ft^2

Step-by-step explanation:

to find the surface area of a shape, you must find the area of each side and add them together. the base of this shape is a rectangle with a length of 11ft and a height of 3ft; to calculate the area of a rectangle, you multiply the length by the height. 3*11 is 33, so the base of this prism has an area of 33ft^2. since this is a prism, we know that the side parallel to the base are the same shape, so they both have an area of 33ft^2. 33*2= 66. the two other large sides have a height of 4.5 and a length of 11; 4.5*11 is 49.5, there are two shapes with these dimensions, so 49.5*2=99. finally, the two shapes on either end of the prism have a height of 4.5 and a length of 3. 4.5*3= an area of 13.5, two of them, so 13.5*2=27. now you just add all of these numbers together: 66+99+27=192.

4 0
2 years ago
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