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AnnZ [28]
4 years ago
15

This circle and x + 2y= 12 create a system of equations.

Mathematics
1 answer:
NISA [10]4 years ago
6 0

There's something wrong with the answer choices.

There are 2 solutions because the line x+2y = 12 and the circle intersect at two locations. One point of intersection is (0,6). So this suggests choice B is the answer; however, the point (12,0) is not a solution.

It works for x+2y = 12 since 12+2(0) = 12. But the point (12,0) is not on the circle. The furthest to the right we go is (6,0).

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If the area of a circle is 58 square feet, find the circumference
Blizzard [7]

Answer:

C≈27 feet

Step-by-step explanation:

A=πr²

A/π=r²

√A/π =r or –√A/π=r (refused)

then r =√(A/π) =√(58/π) =4.297829403 feet

C=2πr=2π(4.297829403)=27.00405856≈27 feet

7 0
3 years ago
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A large farm tractor costs $98,424. If a farmer makes 36 equal payments, how much is each payment
mrs_skeptik [129]

Answer:

$2734

Step-by-step explanation:

$98,424 / 36 = $2734

6 0
3 years ago
What is the axis of symmetry of the function f(x)=-(x+9)(x-21)
Firlakuza [10]
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
3 0
3 years ago
Solve for given replacement set for 21- 5x -4 = x +4 ( 0, 2, 4 )
FrozenT [24]
\left[x \right] = \left[ \frac{13}{6}\right][x]=[​6​​13​​]
totally answer
3 0
3 years ago
Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so
Marrrta [24]

Answer:

It will take Shanti 150 square inches of paper to wrap the gifts

Step-by-step explanation:

Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.

How much paper did it take to cover the gift?

Solution

To solve this, you will find the surface area of a cube

Surface area of a cube = 6a^2

Where,

a=side length of the cube

a= 5 in

a^2=a × a

=5 × 5

=25 in^2

a^2=25 in^2

Surface area of a cube = 6a^2

=6 × 25 in^2

=150 in^2

It will take Shanti 150 square inches of paper to wrap the gifts

7 0
3 years ago
Read 2 more answers
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