Part Sophia's brother, Stanley, is cooking carrots for the family dinner. He needs to make less than twice as many servings of c
1 answer:
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Answer:
a. Function 1
b. Function 2
c. Function 4
Step-by-step explanation:
✔️Function 1:
y-intercept = 4 (the point where the line cuts across the y-axis)
Slope, using the two points (0, 4) and (1, 6):
Slope = 2
✔️Function 2:
y-intercept = 1 (the value of y when x = 0)
Slope, using the two points (0, 1) and (1, -3):
Slope = -4
✔️Function 3: y = 5x - 5
y-intercept (b) = -5
Slope (m) = 5
✔️Function 4:
y-intercept = -2
Slope = -1
Thus, the following conclusions can be made:
a. The function with the greatest y-intercept is Function 1 which is 4.
4 is greater than 1, -5, and -2.
b. Only Function 2 has slope that is less than -2.
-4 is less than -2.
2, 5, -1 are all greater than -2.
c. The function's graph with the least steep is the function whose slope value is the smallest. That is the greater the absolute value of the slope, the steeper the slope, and vice versa.
Function 4 has the least steep.
Answer:
Length of DE is : 18√2 units
Step-by-step explanation:
The length of a side of a triangle is 36.
To calculate : The length of the segment DE
Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)
In ΔABE and ΔABC,
∠A = ∠A (Common angles)
∠ABE = ∠ABC (Corresponding angles are always equal)
By AA postulate of similarity of triangles, ΔABE ~ ΔABC.
Hence by area side proportionality theorem
Hence, length of DE is 18√2 units
