Answer:
The answer is b = -9/2
Step-by-step explanation:
Answer:
Write and solve an equation of ratios:
16 miles 20 min
----------- = -----------
12 miles x
Then 16x = 240, and x = 240/16 = 15.
It will take 15 minutes to travel 12 miles.
Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
Answer:
Part 1) The y-intercept is the point 
Part 2) The x-intercepts are the points 
Step-by-step explanation:
we have

This is a vertical parabola open upward
step 1
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0


The y-intercept is the point (0,-3)
step 2
Find the x-intercepts
we know that
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0

solve for x
Adds 3 both sides


take square root both sides

so
The x-intercepts are the points 