Answer:
Step-by-step explanation:
Triangle VWX is a right angle triangle.
From the given right angle triangle,
VX represents the hypotenuse of the right angle triangle.
With m∠X as the reference angle,
WX represents the adjacent side of the right angle triangle.
VW represents the opposite side of the right angle triangle.
To determine m∠X, we would apply
the tangent trigonometric ratio. It is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan X = 2/1 = 1
m∠X = Tan^-1(1)
m∠X = 45°
A root of 4 means the factor is (x - 4)
Multiplicity 2 means it has a power of 2 => => (x - 4)^2
Leading Coefficient -1 means it will be reflected opening downward
- (x - 4)^2
-(x^2 - 8x + 16)
-x^2 + 8x - 16
Its d,
a system is when you have two or more equations. This has only the one equation
Answer: d) 12 ft
Step-by-step explanation:
Let x be the width of the room , the the length of the room will be 2x.
We consider the shape of room is rectangle.
We know that the area of rectangle is given by :-
, where l is length and w is width.
Given : Area of the room is 288 square feet
Since, width cannot be negative, so the width of the room = 12 feet.
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours
speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr
Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr
Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr
Anna was the fastest