Step-by-step explanation:
slope(m)= y2-y1/x2-x1
-2-6/4+2
= -8/6
= -4/3
X= [tex] \sqrt{35} is the answer
Answer:the cost for 40 children to attend along with 5 adult tickets = $ 417.55
Step-by-step explanation:
It costs 135.25 for 15 child tickets to the museum. Let us determine the cost per child ticket to the museum.
cost per child ticket to the museum.
= total cost of 15 child tickets / number of child tickets.
= 132.25 / 15 = 8.82
Adult tickets cost 12.95 each.
The cost of 40 child tickets is
40 × 8.82 = $352.8
The cost of 5 adult tickets = 5 × 12.95
=$ 64.75
the cost for 40 children to attend along with 5 adult tickets would be
352.8 + 64.75 = $ 417.55
Answer:
Step-by-step explanation:
A function satisfying the equation 
is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form 
with 
even. Observe that if 
is twice differentiable we can derivate using the chaing rule as follows:
implies 
Applying the chain rule again we have:
implies 
So we have that function 
is also an even function.
The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
