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3 years ago

Solve the inequality. 2(4x – 3) ≥ –3(3x) + 5x?

1 answer:

4 0

2(4x-3) ≥ - 3(3x) + 5x

2* 4x - 2*3 ≥ - 9x + 5x

8 x - 6 ≥ -4x

8 x + 4 x ≥ 6

12 x ≥ 6

x = 6/12 divide 6/6 = 1 and 12 / 6 = 2

x = 1/2

hope this helps!

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

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Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

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2 years ago