Step-by-step explanation:
x - 4 = 2x + 9
x - (2x) = 9 + (4)
-x = 13
x = -13.
Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
Answer:
-2
Step-by-step explanation:
choose any point on the graph
Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39
Answer:
5L/2 < 100
Step-by-step explanation:
Let's get started!
Let :
⇒ Length = L
⇒ Width = L/4
It mentions the perimeter must be less than 100 inches.
Perimeter Formula :
<u><em>Perimeter (Rectangle) = 2(Length + Width)</em></u>
Then, the inequality formed will be :
⇒ 2 (L + L/4) < 100
⇒ 2 (5L/4) < 100
⇒ 10L/4 < 100
⇒ 5L/2 < 100
