Hurry! brainliest if right
1 answer:
You might be interested in
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i
9514 1404 393
Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
__
b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
__
c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
