We are given with the coordinates of one of the points of a line which is
(1,2)
In order to generate an equation of a line, we need at least one other point or the slope of the line. If we are given with the slope of line, we can use the point slope form which is
y - y1 = m (x - x1)
substituting
y - 2 = m(x - 1)
Answer:Alden is 13 years old
Step-by-step explanation
Let x represent Alden's age.
Let y represent the age of his sister.
Let z represent the age of his second sister.
His sister is 5 years older than he is and 3 times as old as his second sister. This means that
y = x + 5
y = 3z
Alden's brother is 4 years younger than his second sister. It means that his brother's age is
z - 4
His brother is 2. It means that
z - 4 = 2
z = 2 + 4 = 6
y = 3z
y = 3 × 6 = 18
Substituting y = 18 into y = x + 5, it becomes
18 = x + 5
x = 18 - 5 = 13
Answer:
Ernie's time is 11.1 seconds
Explanation:
If Bert won the race with the time of 12.6 and the time difference is 1.5, this means Ernie's time was 1.5 seconds less than 12.6.
12.6
−
1.5
=
11.1
Given:
Length of the rectangle = 
Width of the rectangle = 
The perimeter of the rectangle is less than 140.
To find:
The inequality for the given situation and solve it.
Solution:
We have,
We know that, the perimeter of a rectangle is
It is given that the perimeter of the rectangle is less than 140.
Divide both sides by 4.
Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is .
