The complement of a 42 degree angle is

12. A circle has a center at C(2,5) and a point on the circle has coordinates A(8, 13). Could the point B lie on

marishachu [46]

Answer:

No.

Step-by-step explanation:

A circle is defined as a figure in which all points are equidistant from the center, or C. In order to determine how far points A and B are from the center, we must first find the difference in positioning from (2,5) to each point and then use Pythagorean Theorem to calculate the length of the hypotenuse. Point A establishes that the radius of the circle must be 10 units, and Point Bis only about 8 units away.

7 0

3 years ago

Help<br> Find the volume of this sphere.<br> Use 3 for pi

tankabanditka [31]

Answer:

V = 1372cm3

Step-by-step explanation:

See the image above

7 0

3 years ago

Which Venn diagram correctly describes the relationship between Set R and Set Q?

Tanzania [10]

Answer:

D. because all irrational numbers are real numbers.

Step-by-step explanation:

Real numbers include virtually all numbers we can come up with, either negative or positive, rational or irrational, decimals, etc. They are not imaginary numbers.

Irrational numbers include all numbers that cannot be written as a quotient of two integers. They are numbers whose decimals are never terminating. Examples include π, √2 etc.

Irrational are a subset of real numbers.

Therefore, the correct venn diagram that shows this relationship between Set R {real numbers} and Set Q {irrational numbers} is the venn diagram in option D (last option), because, all irrational numbers are real numbers.

5 0

3 years ago

Solve for x<br>6x²+2x-12

dem82 [27]

Answer:

Step-by-step explanation:

Solving for x means you have to factor. First factor out the GCF of 2 to get:

$2(3x^2+x-6)$ and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:

1, 18

2, 9

3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:

$x=\frac{-2+/-\sqrt{2^2-4(6)(-12)} }{2(6)}$ and

$x=\frac{-2+/-\sqrt{4+288} }{12}$ and

$x=\frac{-2+/-\sqrt{292} }{12}$ and

$x=\frac{-2+/-\sqrt{4*73} }{12}$ and

$x=\frac{-2+/-2\sqrt{73} }{12}$ which finally simplifies to

$x=\frac{-1+/-\sqrt{73} }{6}$ No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!