- Let the sides be 3x, 4x and 5x.
- Therefore, 3x + 4x + 5x = 72
- or, 12x = 72
- or, x = 6
- So, the length of the longest side of the triangle = (5 × 6) cm = 30 cm.
<u>Answer</u><u>:</u>
<u>3</u><u>0</u><u> </u><u>cm</u>
Hope you could understand.
If you have any query, feel free to ask.
Let's turn that into a linear system:
Set the equations equal to each other and solve:
We then plug in to get
:
The solution to the system is
.
Now, let's turn our attention to the statements.
The first one is
false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes
cheaper!
The second one is also
false: we already figured out that the lines intersect at
.
The third statement is also
false: as above, the lines intersect at
.
The fourth statement is
true: the lines intersect at
.
In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.
[ Answer ]
[ Explanation ]
- Factor: (a - 3) + q(a - 3)
-------------------------------------
- Expand :
:
Answer:
Find the area of a cardboard box with a length of 9 inches and a width of 4 inches.
Step-by-step explanation:
9 in × 4 in = 36 in²
Answer:
2x+2
Step-by-step explanation:
(2x^2 + 10x + 8)
----------------------
(x + 4)
Factor the numerator
2 (x^2 + 5x + 4)
----------------------
(x + 4)
2 (x+4)(x+1)
----------------------
(x + 4)
Cancel the common factors
2 (x+1)
Distribute
2x+2