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3 years ago

10

......................................

1 answer:

MrRa [10]3 years ago

7 0

Answer:

D

Step-by-step explanation:

The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

Tom [10]

Answer:

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

Step-by-step explanation:

The given equation is

$(2x+3)^2+8(2x+3)+11=0$

Let us treat this as a quadratic equation in $(2x+3)$ .

where $a=1,b=8,c=11$

The solution is given by the quadratic formula;

$(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

We substitute these values into the formula to obtain;

$(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}$

$(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}$

$(2x+3)=\frac{-8\pm \sqrt{20} }{2}$

$(2x+3)=\frac{-8\pm2\sqrt{5} }{2}$

$(2x+3)=-4\pm \sqrt{5}$

$(2x+3)=-4-\sqrt{5}$ or $(2x+3)=-4+ \sqrt{5}$

$2x=-3-4-\sqrt{5}$ or $2x=-3-4+ \sqrt{5}$

$2x=-7-\sqrt{5}$ or $2x=-7+ \sqrt{5}$

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

5 0

3 years ago

If the radius of the circle is 9, find the area of the shaded region. Round your

zmey [24]

Answer:

we dont know the shaded area...

Step-by-step explanation:

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2 years ago

A square pyramid has sides of 4.1 cm, and a pyramid height of .6 cm, determine the volume.

Rainbow [258]

The formula is: a^2 h/3
the answer is about 0.49

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2 years ago

Is the triangle with side lengths of 20 mm, 24 mm,<br> and 36 mm a right triangle

adoni [48]

Answer:

no it's an acute triangle

Step-by-step explanation:

why? because any angle below 90 degrees is considered an acute triangle which in your case 20,24, and 36 are all very far from being a right triangle

7 0

3 years ago

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of

earnstyle [38]

Answer: 0.000

Step-by-step explanation:

6 0

1 year ago