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4 years ago

Pls answer this math question

Mathematics

1 answer:

lina2011 [118]4 years ago

4 0

Answer:

X=12 because 12x6=72 then plus 48 plus 60 equals 180

Step-by-step explanation:

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A circular pond is modeled by the equation x^2 + y^2= 225. A bridge over the pond is modeled by a segment of the equation x – 7y

serious [3.7K]

$x^2+y^2=225 \\
x-7y=-75 \\ \\
\hbox{solve the second equation for x:} \\
x-7y=-75 \ \ \ |+7y \\
x=7y-75 \\ \\
\hbox{substitute 7y-75 for x in the first equation:} \\
(7y-75)^2+y^2=225 \\
49y^2-1050y+5625+y^2=225 \\
50y^2-1050y+5625=225 \ \ \ \ \ \ \ \ \ |-225 \\
50y^2-1050y+5400=0 \ \ \ \ \ \ \ \ \ \ \ \ |\div 50 \\
y^2-21y+108=0 \\
y^2-9y-12y+108=0 \\
y(y-9)-12(y-9)=0 \\
(y-12)(y-9)=0 \\
y-12=0 \ \lor \ y-9=0 \\
y=12 \ \lor \ y=9$

$x=7y-75 \\
x=7 \times 12 -75 \ \lor \ x=7 \times 9-75 \\
x=84-75 \ \lor \ x=63-75 \\
x=9 \ \lor \ x=-12 \\ \\
(x,y)=(9,12) \hbox{ or } (x,y)=(-12,9)$

The points are (9,12) and (-12,9).
The answer is A.

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3 years ago

Math Help? 15 Points

Helga [31]

A) Kara's fee for the second child is $5

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4 years ago

The marked prize of a bicycle is Rs 5550. What will the prize of a bicycle if the 15% VAT was leived allowing 10% discont on it?

Charra [1.4K]

Answer:

Rs 5,744.25

Step-by-step explanation:

The computation of the prize of a bicycle in the case when there is a 10% discount and 15% VAT is applied is shown below:

= Market price - discount + Vat applied

= Rs 5,550 - Rs 5,550 × 10% + 15% of the amount

= Rs 5,550 - Rs 555 + 15% of the amount

= Rs 4,995 + Rs 4,995 × 15%

= Rs 4,995 + 749.25

= Rs 5,744.25

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3 years ago

Consider the function ƒ(x) = –x4 + 9. Determine which of the following is its graph, based on end behavior.

JulsSmile [24]

Answer:

Step-by-step explanation:

If the degree of the polynomial is even (positive) ends of the function will either upwards or downwards on axis.

If the coefficient of the leading term of a polynomial is negative, both the ends of the graph will move downwards.

The given function is,

f(x) = -x⁴ + 9

Degree of the polynomial = 4

Coefficient of the leading term = -1

Therefore, ends of the polynomial will open downwards.

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3 years ago

Principal root of 144

Alex Ar [27]

√144 = √12^2 = 12

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6 0

4 years ago

Read 2 more answers