Answer:
see explanation
Step-by-step explanation:
given x² - 6x - 21 = 0 ( add 21 to both sides )
x² - 6x = 21
to complete the square
• add ( half the coefficient of the x-term)² to both sides
x² + 2 (- 3)x +9 = 21 + 9
(x - 3)² = 30 ( take the square root of both sides )
x - 3 = ± 
( add 3 to both sides )
x = 3 ±
x = 3 - = - 2.48 ( to 2 dec. places ) or
x = 3 + = 8.48 ( to 2 dec. places )
The answer is for w is 16
Source of magnetic force - Nail
Source electric force - battery cell
<h3>What is an electromagnet?</h3>
We know that the electromagnet is a type of magnet whose magnetic property depends on the interaction of the magnetic material with an electric field. We can see in the image that the nail which serves as the magnetic material is connected to a cell which is the source of the given electric current.
It the follows that the nail above is the source of the magnetic force because the coils of wire while the battery cell is the source of the electrical force.
Learn more about electromagnet:brainly.com/question/3427992
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Oscar's age = 16
Sister's age = 12
Current year: 16 / 12
Simplest form: 4 / 3 ; both are divisible by 4.
2 years after: (16 + 2) / (12 + 2) = 18 / 14 ; add two years to both numbers.
Simplest form: of 18 / 14 is 9 / 7; both are divisible by 2.
Answer:
108 yards
Step-by-step explanation:
Let circle A be the circle with the 62 yard diameter
Let circle B be the circle whose diameter we are trying to solve for.
- Externally tangent circles are circles which touch each other and share a common external tangent.
- Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
- The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
- 85 - 31= 54 yards which is the radius of circle B
- To get the diameter: 54 x 2 = 108 yards
