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3 years ago

What undefined terms are needed to define a line segment?

Mathematics

1 answer:

Kisachek [45]3 years ago

7 0

I think it would be B but not 100% sure

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What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

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

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

Help plz and thanks

rodikova [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A circle is inscribed in a square is 10 inch sides what is the circumference of the circle use 3.14 as an approximation for pie

MissTica

Answer:

31.4 inches

Step-by-step explanation:

If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.

In the given problem it is given that side of square is 10 inches.

So diameter of circle inscribed is 10 inches

we know radius of circle is half of diameter of circle

Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.

Expression to calculate circumference of circle is given by $2\pi r$

where r is the radius of circle.

Thus circumference of circle inscribed is

$2*\pi *5\\=> 10*3.14 \\=> 31.4$

Thus, circumference of circle inscribed is 31.4 inches

6 0

3 years ago

In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?

Vlada [557]

Answer: 70 square units

Step-by-step explanation:

Area of kite = (one diagonal * another diagonal) / 2

10 * 14 = 140

140 / 2 = 70

3 0

3 years ago

Olive rolls a 5 on one number cube and then Lolly rolls a 1 on another number cube. Is this a set of independent or dependent ev

rjkz [21]

<h3>Answer: independent </h3>

Reason:

Each cube doesn't affect the other one, which means that the probabilities are not altered. This is assuming that the cubes don't bump into each other when rolling on the table. So either there's enough space on the table, or they take turns one at a time.

6 0

2 years ago