So here we use the pythagorean theorem which is a2 + b2 = c2 (“a” squared times “b” squared equals “c” squared) the length from calvins house to the intersection is “a” and the length from phoebes house to the intersection is “b” so in order to find out the length of “c” (calvins house to phoebes house) we need to use the pythagorean theorem
a2 275x275=75,625
b2 113x113 = 12,769
so now that we have figured out what a2 and b2 are let’s add them
75,625 + 12,769 = 88,394
now since we only need to find out the length and not the area we need to find the square root of 88,394
the square root of 88,394 is 297.311 (i cut off the decimal after three places)
the direct length from phoebes house to calvins is 297.311 meters
Answer:
2(x-1)(x-4)
Step-by-step explanation:
Begin by dividing each term by 2 and pulling the 2 to the front.
This is a trinomial. Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial 
multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as 
.
a=1, c=4
ac=4 and add to b=-5 which -1 and -4 satisfy
The factored form is 2(x-1)(x-4).
It should be a cylinder generated by the rotation. Take a piece of paper or book and rotate it with one edge as the center, and visualize what shape it makes. Doing something like this will be the best way to understand what shape it forms.
Answer:
Step-by-step explanation:
Given inequality:
To solve for <em>y.</em>
Solution:
Rewrite the inequality as,
Adding 1/2y to both sides,
Multiplying both sides by 6/5:
Value of y is 42/5.
Cotangent of angle A=base/height=24/10=12/5
cotangent of B=10/24=5/12
