Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
Answer:
1/2
Step-by-step explanation:
The scale factor is 1/2 because each side length of
is 1/2 of the length of the side lengths of
.
Hope this helps :)
Answer:
I can help with Q "4" as -
It uses triangle congruence test - here we use - SAS, as
one side is equal as it is given
both the angles are 90 degree
and they share a same side
so -
8x = 6x + 5
8x - 6x = 5
2x = 5
x = 2.5
RU = 6x+ 5 = 6 (2.5) + 5 = 20
( I am not so sure but I think this is the answer )
Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4
first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x=

so
1x^2-2x+4=0
a=1
b=-2
c=4
x=

x=

x=

we have

and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x=

i=

x=

x=

x=

or x=

(those are the 2 numbers)
Control = group with no music / maybe no variable?
Manipulated/independent variable = Number of tomatoes being grown
Dependent/responding = Number of tomatoes produced by each plant
Conclusion = Use four parts... Was your hypothesis correct or not and why...Cite numbers/evidence from experiment.... Were the results reliable?.... any improvements to be made