X= larger number
x-6= smaller number
x + (x - 6)= 62
combine like terms
2x - 6= 62
add 6 to both sides
2x= 68
divide both sides by 2
x= 34 larger number
SMALLER NUMBER
x - 6= 34 - 6= 28
ANSWER: The smaller number is 28 and the larger number is 34.
Hope this helps! :)
Answer:
Rate of change for the linear relationship modeled is 
Step-by-step explanation:
As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.
We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,
Putting the points as (-1, 10) and (1, 9), we get
Rate of change is the slope of the line joining all these points.
Answer:
b = 87°
Step-by-step explanation:
In order to answer this question, we need to utilise an important angle fact which is <em>angles in a quadrilateral add up to 360° </em>
Using the information we can set up an equation to find the value of b
→ Form equation
63 + 140 + 70 + b = 360
→ Simplify
273 + b = 360
→ Minus 273 from both sides isolate b
b = 87°
Answer:
Integer and Rational Number
Step-by-step explanation:
Natural numbers are positive numbers starting at 1 and going onward. Since -8.0 is not a positive number, it is not a natural number.
Whole numbers are natural numbers and 0 altogether. -8 is not greater than zero or positive, so it is not a whole number.
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. -8.0 can also be written as -8/1, so it is a rational number and an integer, since every integer is a number over 1 and also a rational number.
