It's the second option, because the signs are facing each other & it's underlined. That's why the circles are shaded in, the inequality means the numbers between -4 & 3 are what is needed. Hope that helps
The perimeter is 4/3x(3), or 12/3x.
The area is (2x+2)^2
Therefore, we must solve the equation
4x^2+4x+1= 0
This eventually factors to x = -0.5.
54x^2+208x-308=-2x-8
54x^2+208x-308+2x+8=0
54x^2+210x-300=0
9x^2+35x-50=0 (divided both sides by 6)
9x^2+45x-10x-50=0 (wrote the 35x as a difference)
9x(x+5)-10(x+5)=0
(9x-10)(x+5)=0
Now solve the equations:
9x-10=0
x=10/9
x+5=0
x=-5
Therefore, x has two solutions, 10/9 and -5!!
The length of EC will be 7.5 cm
Given DE || BC AD = 4cm, DB = 6cm, AE = 5cm
According to basic proportionality theorem- IF A LINE IS DRAWN PARALLEL TO ONE SIDE OF THE TRIANGLE INTERSECTING THE OTHER TWO SIDES, THEN IT DIVIDES IN THE SAME RATIO.
So,
In triangle ABC, DE || BC in the figure given below:
AD/AB = AE/AC……(1)
Now AB can be written as AD+DB similarly AC= AE+EC……(2)
Applying (2) in (1)
AD/AD+DB = AE/AE+EC……(3)
Applying values of AD,DB and AE from the question in equation (3)
4/(4+6) = 5/(5+EC)
4/10 = 5/(5+EC)
(10*5)/4 = 5+EC
EC = 7.5cm
Learn more about similar triangle at :
brainly.com/question/2644832
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