Answer:
A = (b1 + b2)h/2
Step-by-step explanation:
The shape given is a trapezoid having two parallel sides which can be labelled b1 and b2 respectively. The distance between the two parallel sides is the height of the trapezoid, which is labelled h.
Area of a trapezoid is given as:
A = (b1 + b2)h/2
S + h = 123
h = s - 53
s + s - 53 = 123
2s - 53 = 123
2s = 123 + 53
2s = 176
s = 176/2
s = 88 <=== 88 sodas sold
h = s - 53
h = 88 - 53
h = 35 <== 35 hotdogs sold
Answer:
-14 F
Step-by-step explanation:
-13-3-2-6+7 = -14
Given:
for x=-4 and x=4, find value of f(x) if f(x) is piecewise defined as follows:
f(x)=x² if x≤-4, and ..........(1)
f(x)=sqrt(x) if x>1...............................(2)
f(-4)=x ² =(-4)^2= +4*4=+16 [ from (1) ]
f(4)=sqrt(x) =sqrt(4) = 2 [ from (2) ]
First, we have two points and we need to use these points to find the slope. To do this, let's label one point x1 and y1, the other point x2 and y2 then,
Slope = (y2 - y1) / (x2 - x1)
(2, 3) - 2 is x1 and 3 is y1
(-1, -12) -1 is x2 and -12 is y2
Slope = (-12 - 3) / ( -1 - 2) = -15 / -3 = 5
Now the equation of our line is: y = 5x + b
Let's plug one of our points into this equation to solve for b.
3 = 5(2) + b
3 = 10 + b
Subtract 10 from both sides.
-7 = b
The equation of our line is: y = 5x - 7
