Answer:
-11, -10, -9
Step-by-step explanation:
The middle one is their average, -30/3 = -10. The three integers are -11, -10, -9.
_____
I like to work "consecutive integer" problems using the average value of the integers involved. The average of <u>two</u> consecutive integers is 1/2 more than the small one, and 1/2 less than the large one, for example. Here, there are <u>three</u> consecutive integers, so their average is the middle one.
If you want to write that using an equation, you can let x represent the middle integer. Then the sum is ...
(x -1) +(x) + (x+1) = 3x = -30
x = -30/3 = -10 . . . . . the same average we computed above.
x -1 = -11 . . . . . the smaller of the other two integers
x +1 = -9 . . . . . the larger of the other two integers
9514 1404 393
Answer:
10.8 miles
Step-by-step explanation:
The distance between (-3, -4) and (3, 5) can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((3 -(-3))^2 +(5 -(-4))^2) = √(6^2 +9^2) = √117
d ≈ 10.8
It is about 10.8 miles from the mall to the park.
Answer:
The solution to the system of equations be:
Step-by-step explanation:
Given the system of equations
x + y = 12
-x + 2y = 15
Let us solve the system of equations by elimination

adding the equations




solve 3y = 27 for y

divide both sides by 3

Simplify

For x+y=12 plug in y = 9

Subtract 9 from both sides

Simplify

Therefore, the solution to the system of equations be:
Given:
The scientific notation of a number is
.
To find:
The standard form of the given number.
Solution:
Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.
We have,

It can be written as


Therefore, the standard form of the given number is 130,000.