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ss7ja [257]
3 years ago
11

I need help answering the question in the picture provided

Mathematics
1 answer:
adoni [48]3 years ago
8 0

answer:

(a).

Equation of circle is <u>x²</u><u> </u><u>+</u><u> </u><u>y²</u><u> </u><u>-</u><u> </u><u>2</u><u>5</u><u> </u><u>=</u><u> </u><u>0</u>

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

{ \boxed{ \bf{ {x}^{2} +  {y}^{2} + 2gx + 2fy   + c = 0}}}

but g and f are 0:

{x}^{2}  +  {y}^{2}   + c = 0 \\ but :  \\ c =  {g}^{2} +  {f}^{2}  -  {r}^{2}  \\ c =  { - 25}

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Taya2010 [7]
Correct me if i'm wrong, but i think it's b, since you add the exponents and keep the 4 the same.
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What is the value of x in the solution to the system of linear equations?
xenn [34]
Since y=x-4 you would simply just plug that into 'y' on the other equation, given: x-4=3x+2.
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All you need now is to get rid of the coefficient in front of 'x' so you divide both sides with 2, leaving you with your answer: -3=x.

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3 years ago
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san4es73 [151]

Answer:

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Step-by-step explanation:

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3 years ago
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find
mr Goodwill [35]

Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: V(x)=x^2y (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, 4x+y=144

y=144-4x

Substitute the value of y in volume of the box.

V(x)=x^2(144-4x)

V(x)=144x^2-4x^3

V'(x)=288x-12x^2

Substitute V'(x)=0.

0=288x-12x^2

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x=0\ or\ x=24

Now apply second derivative test.

V''(x)=288-24x

V''(0)=288-24(0)>0 (Min)

V''(24)=288-24(24) (Max)

Hence, the maximum volume is at x=24

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Substituting value of x = 24 and y = 48 V(x)=x^2y gives 27648.

Hence, the volume in such a package is 27648 in³

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3 years ago
Show your mastery of multiplying fractions by using the sketchpad to find the product of 3-4 x 37
diamong [38]

Answer:

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Step-by-step explanation:

Any regular whole number (37 for example) is over one so it would look like \frac{37}{1}. Multiplying fractions involve just multiplying the numerators and denominators together, therefore it would look like \frac{3}{4}×\frac{37}{1}. Now just multiply the top and bottom numbers together and this will leave you with \frac{111}{4} . But if you'd like to make it into a mixed number (more simplified version of \frac{111}{4} ) then you would get 27 \frac{3}{4}.

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