Answer:
For a better understanding of the solution given here please go through the diagram in the file attached. Let the area of the triangle ABC be denoted by the letter "a". We know that since D is the midpoint of AB then CD must be a median and we know that a median divides the area of any triangle in half. Thus, from the figure, Area of ….(Equation 1)Now, in DE is the median and thus, Area of …(Equation 2)Again, in , DF is the median, so, area of …….(Equation 3)As, we can see, the area of the given triangle, which is the sum of shaded areas depicted by "x" and "y". Now, this area is obviously, the sum of the area of (Equation 2) and (Equation 3). Thus we have: Solving, we get: sq. cm
X(7-x)>8 perform indicated multiplication on left side
7x-x^2>8 divide both sides by -1
x^2-7x<-8 halve the linear coefficient, square it, and add it to both side ie (-7/2)^2=12.25
x^2-7x+12.25<4.25 now the left side is a perfect square
(x-3.5)^2<4.25 take the square root of both sides
x-3.5<±√4.25 add 3.5 to both sides
x<3.5±√4.25
So x>3.5-√4.25 and x<3.5+√4.25 or if you want approximations
x>1.44 and x<5.56 or in interval notation:
x=(1.44, 5.56) (to nearest hundredths)
Answer:
27777/100000
Step-by-step explanation:
i hope its right
Ezra can walk two dogs and mow two or more lawns for the summer to make at least enough money to pay for the laptop.
Hope this helps!
<em>(also tbh that'd have to be an insane laptop :v)</em>