<span>-2x^2 + 10x + 9 =0
multiply whole equation by -1
2x^2 -10x -9 =0
(sqrt2x)^2 -2(sqrt2x)(5/</span>sqrt2) -9=0
add (5/sqrt2)^2 on both sides
(sqrt2x)^2 -2(sqrt2x)(5/sqrt2) + (5/sqrt2)^2-9=(5/sqrt2)^2
a^2-2ab+b^2=(a-b)^2
(sqrt2x - 5/sqrt2)^2=(5/sqrt2)^2+9
(sqrt2x - 5/sqrt2)^2=21.5
taking squareroot on both sides
sqrt2x - 5/sqrt2 = +-4.64
so
sqrt2x - 5/sqrt2 = +4.64 or sqrt2x - 5/sqrt2 = -4.64
sqrt2x = 4.64 + 5/sqrt2 sqrt2x = -4.64 + 5/sqrt2
sqrt2x =8.18 sqrt2x = -1.1045
x=8.18/sqrt2 x= -1.1045/sqrt2
x=5.78 x=-0.781
Answer:
57/32
Step-by-step explanation:
171/32 divided by 2 2/3
Answer: temperature and weight
Step-by-step explanation: Temperature can increase or decrease/can go up and down without moving. The same goes with weight, it can go up or down without moving.
Answer:
(-11, 3)
Step-by-step explanation:
When you move -8 to the left its on the x-axis and it's on the negative side. Moving it to the left would mean the number is lower than -8. Moving it to the left 3 units would mean its -11. When you move -1 up 4 units it's on the y axis on the negative side in the beginning. Moving it up would mean the number is higher than -1. Moving -1 up 4 units would mean its 3.
Angle 1: 33, Angle 2: 147
Step-by-step explanation:
If I have angle x, and its supplement angle is 3 times its supplement increased by 48 degrees, then I know the following:
Angle 1 = x
Angle 2 = 3x+48
Both of these angles add to 180 degrees.
x+(3x+48)=180
= 4x+48=180
=4x=132
=x=33, Angle 1 = 33 degrees
So angle 1 is 33 degrees
that should mean that angle 2 is 147
