Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is 
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is 
)
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle
.
(this is 
)
Then the function is:
Answer:
16
−81
Step-by-step explanation:
Hope this is correct and it helps :)
Answer:
15 gallons PLEASE GIVE BRAINLIEST
Step-by-step explanation:
55 x 6 = 330 total miles
330 ÷ 22 = 15 gallons of gas are needed
Answer : d. 438.5 ft
The diagram for the given statement is attached below.
Two sides AB and AC are equal so the angle B = angle C
WE know sum of three sides of a triangle = 180
angle A + angle B + angle C = 180
55 + B + C = 180
B + C = 180 -55 = 125
B and C are equal so we divide 125 by 2
angle B = 62.5 and angle C = 62.5
Now we apply sin law
150 * sin(55) = sin(62.5) * a
122.8728066 = sin(62.5) * a
a = 
a= 138.52 feet
To find perimeter we add all the sides
150 + 150 + 138.52 = 438.52 feet
Answer:
<u>Angle 1</u>= 180 - 110 = 70 (straight angle)
<u>Angle 2</u> = 180 - 115 =65 (straight angle)
<u>Angle 3</u>= angle 2 =65 (corresponding alternating angles)
<u>Angle 4</u> =180 - angle3 = 180 - 65 = 115 (straight angle)
<u>Angle 5</u> = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)
<u>Angle </u><u>6</u> = angle 5= 45 ( interior alternating angles)
<u>Angle</u><u> </u><u>7</u><u> </u>= angle 6= 45 (vertical opposite angles)
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