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1 year ago

Its asking to expand and simplify an expression for the area of this rectangle.

Mathematics

2 answers:

Anettt [7]1 year ago

7 0

Answer:

4x^2 + 11x - 20

Step-by-step explanation:

area is width X height
multiply the width (4x - 5) and the height(X + 4)
I always imagine a multiplication grid for this kind of problem, with X and +4 at the top and 4x and -5 going down, and then combine terms
you get 4x^2 + 11x - 20

atroni [7]1 year ago

5 0

Answer:

(4x-5)(x+4)

4x squared- 16x -5x - 20
4x squared-21x - 20

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3 years ago

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2 years ago

#2 is the one I need help with

sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

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x = 360°/9

x = 40°

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By inscribed angle theorem:

$m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}$

By tangent secant theorem:

$m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}$

Since, measure of central angle is equal to the measure of its corresponding minor arc.

$m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}$

By angle sum Postulate of a triangle:

$m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}$

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2 years ago

What is the distance between the points (2, 4) and (7, 16)? 13 15.4 16 24

Veronika [31]

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3 years ago

Its asking to expand and simplify an expression for the area of this rectangle. ​

Its asking to expand and simplify an expression for the area of this rectangle.