Rectangle ABCD with coordinates A(1,1), B(4,1), (4,2), and D(1.2) dilates with respect to the origin to give rectangle A'BCD. If
1 answer:
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Answer: A
Step-by-step explanation:
2x²-2x-9=0
this is a quadratic equation so we will use the quadratic formula .
Δ= b²-4*a*c
- b= -2
- a= 2
- c= -9
let's calculate Δ to khow how many solutions this equations have .
Δ= (-2)²-4*2*(-9)
= 76
we notice that 76>0
so this equation has two solutions : (-b-√76)/4 and (-b+√76)/4
- let's calculte the values :
- (-b-√76)/4=
(-b+√76)/4=
the trick here is to notice that :
=
=
= 2
Now we will simplify Δ by factoring by 2
=
so the answer is a .
Answer:
x = 8
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x = =
=
×
= 8