Answer:
Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
Step-by-step explanation:
Answer:
{10;20}
Step-by-step explanation:
X & Y = {10;20}
The answer is 80 ft.
Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.
The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:
to solve for x, all you need to do is cross multiply then divide.
The answer is then 80ft.
Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.
160ft/2 = 80ft.
Answer:
x= -13
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 13 = 13
Step-2 : Find two factors of 13 whose sum equals the coefficient of the middle term, which is 14 .
-13 + -1 = -14
-1 + -13 = -14
1 + 13 = 14 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 13
x2 + 1x + 13x + 13
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+1)
Add up the last 2 terms, pulling out common factors :
13 • (x+1)
Step-5 : Add up the four terms of step 4 :
(x+13) • (x+1)
Which is the desired factorization
