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2 years ago

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

Mathematics

1 answer:

NISA [10]2 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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Coefficient x^2 in the expansion of (2+x)^5

Monica [59]

Alright, expand the given equation:
(2+x) (2+x) (2+x) (2+x) (2+x)
Use FOIL method and distribution to solve
At the final answer, find the x^2 and the number that multiplies to it is the coefficient
I can't do the actually expansion for you, it would take a decently long time. You should be able to, its a good practice. Good luck!

7 0

2 years ago

Which linear equations does the graph show the solution to? Select all that apply. y = 2x + 13 y = –x – 2 y = 3x – 5 y = negativ

salantis [7]

Answer:

y = 2x + 13

y = –x – 2

Step-by-step explanation:

The options are:

y = 2x + 13

y = -x - 2

y = 3x - 5

y= -(1/2)x + 6

y = -2x - 2

The graph is shown in the figure attached. There, point (-5, 3) is shown. Replacing it into the equations we get:

y = 2(-5) + 13 = 3 (so, it is a solution)

y = -(-5) - 2 = 3 (so, it is a solution)

y = 3(-5) - 5 = -20 ≠ 3 (so, it isn't a solution)

y= -(1/2)(-5) + 6 = 8.5 ≠ 3 (so, it isn't a solution)

y = -2(-5) - 2 = 8 ≠ 3 (so, it isn't a solution)

6 0

2 years ago

Read 2 more answers

The internal height of a rectangular box is 10.5cm.The thickness of the bottom is 3/5cm and the thickness of the top is 1cm.What

omeli [17]

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The external height of the box is 12.1 cm.

<h3>What is Addition?</h3>

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that the internal height of a rectangular box is 10.5cm. The thickness of the bottom is 3/5cm and the thickness of the top is 1cm. Therefore, the external height of the rectangular box is,

Height of rectangular box

= Thickness of bottom + Internal height of the box + Thickness of the top

= 3/5 cm + 10.5 cm + 1 cm

= 0.6cm + 10.5cm + 1cm

= 12.1 cm

Hence, the external height of the box is 12.1 cm.

Learn more about Addition here:

brainly.com/question/14092461

#SPJ1

7 0

1 year ago

Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$