Answer:
9p^2q-5pq^2-pq+5q^2
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When the signs of the two numbers are the same, the answer will be positive. When the signs of the two numbers are different, the answer will be negative.
The easiest way to do this is with cross-multiplication.
4 gallons for 30 plants is written as 4/30
x gallons for 45 plants is written as x/45
Multiply 4 x 45 = 180
divide by 30
= 6 gallons of water
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.