Answer:
x = - 1 and x = 5
Step-by-step explanation:
Given
(x - 3)² + 2(x - 3) - 8 = 0
Let u = x - 3, then
u² + 2u - 8 = 0 ← solve for u
(u + 4)(u - 2) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 4 = 0 ⇒ u = - 4
u - 2 = 0 ⇒ u = 2
Convert back to x, that is
x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1
x - 3 = 2 ( add 3 to both sides ) ⇒ x = 5
Answer:
y=35z+20
Step-by-step explanation:
Y is the total cost, so it goes on the outside. 35z represents the months of service because you multiply 35 by however many months there are (for example, if you had 3 months, you'd have $35 3 times). Finally, the $20 is tacked onto the end because that's the initial payment to open an account
Those two angles are complementary - which means they both give us 90 degrees. We know that all three angles in any triangle must be exactly 180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means that our triangle is a
<u>straight triangle</u>. The figure will look more less like in the attachment.
Answer:
Radius of the Earth is 3978.8 Miles
Circumference of the Earth is 25000 Miles
Step-by-step explanation:
The angle of the sun shone at an angle of 7.2° to the zenith
This means that the angle of the sector of the circle is 7.2° (θ)
S = Length of the sector of the circle = 500 miles
r = radius of earth
Converting 7.2° to radians
∴ Radius of the Earth is 3978.8 Miles
∴ Circumference of the Earth is 25000 Miles
Answer:
531 cm^2 approx
Step-by-step explanation:
Given data
Diameter= 26 cm
radius= d/2= 26/2= 13 cm
Area= πr^2
substitute
A= 3.142*13^2
A= 3.142*169
A= 530.998
A= 531 cm^2 approx