If the zeros are -2 and 3, then the factored form would be
(x+2) and (x-3)
-2+2 = 0 and 3-3 = 0
A polynomial is written as ax^2 + bx + c
Expand (x+2) (x-3) using FOIL: Multiply each tern in one set of parenthesis by each term in the other set and then simplify by combining like terms:
x*x + x*-3 + 2*x + 2*-3
x^2 -3x + 2x -6
Polynomial in standard form:
x^2 -x -6
Answer:
it should be (5,4)
Step-by-step explanation:
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Answer:
62m³
Step-by-step explanation:
The question is incomplete. Find the diagram of the prism attached below.
Volume of a Prism = Base area × Height
Given height = 9m
Since the prism is a triangular based prism,
Base area = area of the equilateral triangle = 1/2bh
base of the triangle = 4m
Height can be gotten using Pythagoras theorem.
Slant side of the triangle is the hypotenuse = 4m
Adjacent = 1/2 of the base = 1/2(4)= 2m
Height = √4²-2²
Height = √16-4
Height of the triangle= √12 m
Base Area = 1/2×4×√12
Base Area = 2√12 m
Volume of the prism = 2√12 × 9
= 2×2√3×9
= 36√3 m³
= 62.2m³
Volume of the prism is approximately 62m³
The length of the lake as represented in the triangle ABC is 271.3 meters.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Sine rule is used to show the relationship between the sides and angles of a triangle.
∠A + ∠B + ∠C = 180° (angles in a triangle)
60 + 43 + ∠C = 180
∠C = 77°
Using sine rule:
519/sin(77) = BC / sin(60)
BC = 461.3 m
x = 461.3 - 190 = 271.3
The length of the lake as represented in the triangle ABC is 271.3 meters.
Find out more on equation at: brainly.com/question/2972832
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Answer:
c. $345.94
Step-by-step explanation:
298.72+425.69= 724. 41
724.41-29.72-135.47-208.28= 350.94
350.94-5 = 345.94
