Answer:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Answer:
(–2, 6)
Step-by-step explanation:
Answer:
4n^3 -10n^2 +16n -10
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then combine like terms.
= 2n(2n^2 -3n +5) -2(2n^2 -3n +5)
= 4n^3 -6n^2 +10n -4n^2 +6n -10
= 4n^3 +n^2(-6-4) +n(10+6) -10
= 4n^3 -10n^2 +16n -10
The answer to, Is the Triangle with side lengths of 10 in., 24 in., and 26 in, a right triangle is: Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true. Thus, the triangle is right.
HI there! To find the number of gallons he needs for travel, the first step we need to do is find the number of miles he'll travel, by multiplying speed by time. 50 * 2.75 is 137.5. Terrell will travel 137.5 miles in 2.75 hours. There are 25 miles in a gallon. Now, let's divide the number by 25 to get the number of gallons. 137.5 / 25 = 5.5. There. Terrell will need 5.5 gallons of gas for his journey.
