The Pythagorean theorem applies to the sides of this right triangle.
... x² + (4/7)² = (5/7)²
... x² = 25/49 -16/49
... x = √(9/49)
... x = 3/7
The unknown side has length 3/7.
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You might recognize that this is a 3-4-5 right triangle with a scale factor of 1/7.
Answer:
A) Rhombus
Step-by-step explanation:
Pretty sure it’s d) counterclockwise rotation 90 degrees
f(x) = x^3 + 5x^2 - 4x - 20
The zeros of the polynomial function: x^3 + 5x^2 - 4x - 20 = 0
x^3 + 5x^2 - 4x - 20 = 0
x^2(x + 5) - 4(x + 5) = 0
(x^2 - 4)(x + 5) = 0
(x + 2)(x - 2)(x + 5) = 0
(x + 2) = 0; x = -2
(x - 2) = 0; x = 2
(x + 5) = 0; x = -5
Answer is the first one
x = -5, x = -2, x = 2
From the Pythagorean Theorem:
side^2 = (.5 * 24)^2 + (.5 * 18)^2
side^2 = 144 + 81
side = sq root (225)
rhombus side = 15 feet
Source
1728.com/quadrhom.htm
