Answer:
x=16
Step-by-step explanation:
7x−2(3x−5)=26
Use the distributive property to multiply −2 by 3x−5.
7x−6x+10=26
Combine 7x and −6x to get x.
x+10=26
Subtract 10 from both sides.
x=26−10
Subtract 10 from 26 to get 16.
x=16
Graph if needed:
Answer: yes, it is
Step-by-step explanation:
A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.
n = k(k+1)(k-1)
If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.
Now, if k-1 is a multiple of 3, it can be even or odd.
if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6
if k-1 is odd, then k and k+1 is even, hence, divisible by 2.
As n = k(k+1)(k-1), n is also divisible by 6.
Answer;
-Calculate the lengths of the diagonals, and show that they are equal.
-Calculate the slopes of every side, and show that adjacent sides are perpendicular.
Explanation;
-A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. If the diagonals of a parallelogram are congruent, then it’s a rectangle and also if a parallelogram contains a right angle, then it’s a rectangle.
Answer:
Step-by-step explanation:
The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.
6^2 + 2^2 = x^2
36 + 4 = x^2
x^2 = 40
x = 6.32