Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
Answer:
1.543
2. they can only spend 325.8 on rent because that is the 30% of what they make every week
each girl will have 380.10 left to spend
Step-by-step explanation:
<span>6.3
Looking at the triangle, you can see that point D bisects line segment AB and that point E bisects line segment BC. In fact, you can easily determine that triangles ABC and DBE are similar triangles with DBE having sides that are half the length of the respective sides in ABC. And since line segment DE corresponds to line segment AC which is 12.6 units long, line segment DE is 12.6/2 = 6.3 units long.</span>
Answer:
<u>100/2</u>
Step-by-step explanation:
Given information :
⇒ In total, there were 100 slices of pizza
⇒ Each person ate 2 slices
With this information, the only missing piece would be the number of people who ate the pizza.
That can found using :
⇒ <u><em>Total slices / Number per person</em></u>
⇒ <u>100/2</u>
