Answer:
(x+5)^2 = 1
Step-by-step explanation:
x^2+10x+24 = 0
Subtract 24 from each side
x^2+10x+24 -24 = 0-24
x^2+10x = -24
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 = 25
Add it to each side
x^2+10x+25 = -24+25
Take the coefficient divided by 2 inside the factor
(x+10/2) ^2 = -24+25
(x+5)^2 = 1
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.
Answer:
The correct answers are:
a)
b)36252.6 tenths miles÷ 69 tenths hours
c)
d)
e) 525.4 miles/h
Step-by-step explanation:
The division is solved by using the division algorithm in the attached picture.