Answer:
C. Up.
Step-by-step explanation:
We have been given that the parent function
is transformed to the function
. We are asked to describe the given transformation.
Let us recall the transformation rules.
,
,
,
.
Upon comparing our transformed function with the parent function, we can see that the graph is shifted to left by 7 units and upwards by 5 units.
Therefore the correct choice is option C.
Answer:
x = 2
Step-by-step explanation:
X² = 3x - 7 = 0
X² = 3x = 7
(x + 1) (x + 2) = 7
(x + 1) + x = 7 - 2
x + x = 7 - 3
2x = 4
x = 4/2
x = 2
<u>Answer:</u>
both numbers are negative
negative number is greater than the positive number
<u>Step-by-step explanation:</u>
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
<u>1- both numbers are negative.</u>
2- negative number is greater than the positive number
A)
Two sides are 8 x 2 = 16 x 2 = 32 sq. in.
Two sides are 11 x 2 = 22 x 2 = 44 sq. in.
Top is 8 x 11 = 88 sq. in.
Total surface area: 32 + 44 + 88 = 164 square inches.
B) Area of a circle = PI x r^2
Area = 63.585
63.585 = PI x r^2
Using 3.14 for PI:
63.585 = 3.14 x r^2
Divide both sides by 3.14:
r^2 = 63.585 / 3.14
r^2 = 20.25
r = √20.25
radius = 4.5 inches.
C)
Diameter = radius x 2
Diameter = 4.5 x 2 = 9 inches.
Let y be the distance from the turtle to the base of the building.
tan (34) = 5/y
y = 5 ÷ cos(34)
y = 7.4m
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Answer: The distance is 7.4 meters (Answer A)
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