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4 years ago

Which system of equations models the word problem on the left?

Mathematics

1 answer:

My name is Ann [436]4 years ago

4 0

Answer: c

2H+3C= 4.95

3H+2C= 5.45

Step-by-step explanation:

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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

3 years ago

What is the greatest possible error if Irina measured the length of her window as 3.35 feet?

Tatiana [17]

Is it a written response or a multiple chose question?

7 0

4 years ago

14. Carla needs 1,600 beads to make

e-lub [12.9K]

Answer:I don’t know

I thought you won’t grieve me he answer straight up

Step-by-step explanation:

3 0

4 years ago

The table shows how the compound interest on an investment of $6,000 with an interest rate of 3 34%, compounded annually, grows

levacccp [35]

Answer:

Step-by-step explanation:

becaue

7 0

3 years ago

Jasmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.

Jlenok [28]

The maximum # of video games Jasmine can buy is 24.
1128-72=1056
1056/43=24.55
simplified is 24

4 0

3 years ago