Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Slope of the line 'm' = -
y-intercept 'b' of the line is equal to the y-intercept of another line given as,
Here y-intercept of the line 'b' = -2
Therefore, the equation of the line will be,
y = (-)x + (-2)
Here negative slope represents a line which is decreasing having y-intercept = -2
Therefore, last graph (bottom) given in the picture will be the answer.
Answer:
x = 15 ft
Step-by-step explanation:
Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:
side AE / side EB = side AD / side DC
4/6 = 10/x
Solve for x
x = (10)(6) / 4
x = 60 / 4
x = 15 ft
Answer:
800 bacteria
Step-by-step explanation:
Answer of this question depend upon number of hours at the end of day
Let Take Full Day of 24 hrs
Colby bacteria will doubled 12 times ( doubled once in 2hrs => 24/2 = 12)
Colby bacteria at end of day = 50 * 2¹²
Jaquan bacteria will doubled 8 times ( doubled once in 3hrs => 24/3 = 8)
Let say Jaquan bacteria at start of Day = J
Jaquan bacteria at end of day = J * 2⁸
Equating Both
J * 2⁸ = 50 * 2¹²
=> J = 50 * 2⁴
=> J = 50 * 16
=> J = 800
Jaquan will start with 800 Bacteria
Y = 62 degrees
Because corresponding angles are equal.
