If arc ab = 70°, how many degrees are in ∠ adb? a) 35° b) 50° c) 70° d) 110°

∠ADB=35°

Step-by-step explanation:

Given arc AB = 70°.

we have to find the angle ∠ADB

Here, Angle subtended by arc AB at O is ∠AOB = 70°

By the theorem,

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

∴ ∠AOB=2(∠ADB)

⇒

hence, angle subtended at the circumference is 35°

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.