Answer:
The slope of the line is -7/8
When the point (7, –4) is used, the point-slope form of the line is
y+4=(-7/8)(x-7)
The slope-intercept form of the line is y=(-7/8)x+(17/8)
Step-by-step explanation:
Step-by-step explanation:
Answer:
44°
Step-by-step explanation:
The sum of the angles in a triangle = 180°
In an isosceles triangle the base angles are equal, thus
base angle = 
= 
= 44°
Answer:
see below
Step-by-step explanation:
7. f(x) = mx + b; b acts as the vertical shift moving the graph up if b is positive and down if b is negative.
f(x) = x-2 has shifted the graph of f(x) down 2 units.
g(x) = x + 7 has shifted the graph up 7 units.
If f(x) is changed to g(x) the vertical shift has gone from -2 to + 7 or (7-(-2) = 9 units up
8. f(x) = mx stretches the graph by a factor of m if m > 0 and compresses the graph by a factor of m if 0<m<1
f(x) = 3x stretches the graph by a factor of 3.
g(x) = 1/4x compresses the graph by a factor of 1/4
Answer:
V'(t) = 
If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.
Step-by-step explanation:
Given:
V = 
, where 0≤t≤40.
Here we have to find the derivative with respect to "t"
We have to use the chain rule to find the derivative.
V'(t) = 
V'(t) = 
When we simplify the above, we get
V'(t) =
If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.
Answer:
Below.
Step-by-step explanation:
Let the number of bananas I ate be x.
Number of apples = 2x.
Number of blueberries = 3x.
So we have the equation:
x + 2x +3x = 12
6x = 12
x = 2.
So I ate 2 bananas, 4 apples and 6 blueberries.
