Answer:
{-4, 3}
Step-by-step explanation:
To find "solutions," you must set this function equal to zero:
y = -7(x - 3)(x + 4) = 0
and then set each factor equal to 0 separately and solve each resulting equation for x:
x - 3 = 0 yields x = 3, and
x + 4 = 0 yields x = -4
Solving for the angles, we need to apply and use Law of Cosines:
Solving for ∠AB, we have
cos ∠AB = (BC² + CA² - AB²) / 2*BC*CA
cos∠AB = (9²+17² -13²) / 2*17*9
∠AB = 48.94°
Solving for ∠BC, we have
cos ∠BC = (AB² + CA² - BC²) / 2*AB*CA
cos∠AB = (13²+17² -9²) / 2*17*13
∠BC = 31.47°
Solving for angle CA, we have:
∠CA = 180° - 31.47° - 48.94°
∠CA = 99.49°
The smallest angle is 31.47°.
Answer:
The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.Step-by-step explanation:
Step-by-step explanation:
The difference of a and b is added to 4
- <em>(</em><em>a-b)</em><em>+</em><em>4</em>
Answer:
Part 5) Option b
Part 6) Option d.
Step-by-step explanation:
Part 5) we know that
The area of a square is equal to
where
b is the length side of the square
we have
substitute
Solve for b
take square root both sides
Remember that
substitute
Applying property of exponents
Part 6) we know that
The volume of a cube is equal to
where
b is the length side of the cube
we have
substitute
Solve for b
take cubic root both sides
Remember that
substitute
Applying property of exponents