Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together

<h2>
Explanation:</h2>
Here we have the following expression:

A Perfect Square Trinomial is given by the form:

So matching terms, we can conclude that:

So, substituting c into the expression:

It is a perfect square because:

<h2>Learn more:</h2>
Quadratic Equation in real life problems: brainly.com/question/10278062
#LearnWithBrainly
The book has the greater mass is book A and It is 60 grams greater.
<h3>The book with the greater mass?</h3>
The table of values is given as;
1-kilogram 500-gram 100-gram 10-gram
Book A 1 0 7 4
Book B 0 3 1 8
The weights of the books are calculated as:
Book A = 1 * 1kg + 0 * 500g + 7 * 100g +4 * 10g = 1740 g
Book B = 0 * 1kg + 3 * 500g + 1 * 100g +8 * 10g = 1680 g
1740 is greater than 1680 by 60
This means that the book has the greater mass is book A and It is 60 grams greater.
Read more about metric units at:
brainly.com/question/2555957
#SPJ1
Answer:
38.21 in
Step-by-step explanation:
Given data
C= 120meters
We also know that circumference
C=2πr
Substitute
120=2*3.142*r
120= 6.28r
r= 120/6.28
r= 19.10 m
Hence the diamter D
D= r*2
D= 38.21 in