Answer:
30 minutes to 40 minutes.
Step-by-step explanation:
From the graph attached,
Distance of Sabrina from her home has been given on y-axis and time taken is on x-axis.
Sabrina's walked 2 miles to reach the library in the duration = 30 - 0
= 30 minutes
She stayed at the library from 30 minutes to 40 minutes (Represented by the straight horizontal line).
Then the third segment represents the journey of Sabrina from library to home.
Therefore, Sabrina was at the library between 30 minutes to 40 minutes.
Answer:
Dimensions of rectangle : Width =
, Length = 
Area of Rectangle = 
Step-by-step explanation:
A rectangle constructed with its base on the x-axis and two of its vertices on the parabola
Supposing coordinates of upper right vertex of rectangle are P = 
Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.
Width of rectangle : 
Length of rectangle : 
Area of Rectangle = Length x Width
(
) (
)
= 
A regular trapezoid is shown in the picture attached.
We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5
Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:
AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1
Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6
Last, we have all the information needed in order to calculate the area by the formula:

A = (7 + 5) × 2√6 ÷ 2
= 12√6
The area of the regular trapezoid is
12√6 square units.
Answer:
a = 10, b = 6, c = 2, d = 0
Step-by-step explanation:
Substitute the appropriate values of x into the equation and evaluate
x = - 3 : y = 4 - 2(- 3) = 4 + 6 = 10 → a
x = - 1 : y = 4 - 2(- 1) = 4 + 2 = 6 → b
x = 1 : y = 4 - 2(1) = 4 - 2 = 2 → c
x = 2 : y = 4 - 2(2) = 4 - 4 = 0 → d