Answer:
1
the equation (x-4)^2-17=8 has two solutions because <u>it is in a quadratic form.</u>
(x-4)^2-17=8
x²-8x+16-17-8=0
x²-8x-9=0
Doing middle term factorization
x²-9x+x-9=0
x(x-9)+1(x-9)=0
(x-9)(x+1)=0
either
<u>x=9</u>
<u>x=9or</u>
<u>x=9orx=-1</u>
2.
x^2+4x+3=0:
Doing middle term factorization
x²+3x+x+3=0
x(x+3)+1(x+3)=0
(x+3)(x+1)=0
either
x=-3
or
x=-1
<u>Josh’s solution is incorrect because he missed x=-3.</u>
<u>3</u><u>.</u>
x^2-6x+7=0
By <u>using</u><u> </u><u>quadratic</u><u> </u><u>equation</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u><u>:</u>
Comparing above equation with ax²+bx+c=0
we get
a=1
b=-6
c=7
Now
we have
x=
x=
x=
x=
Taking positive
<u>x</u>=
taking negative
<u>x</u>=
Answer:
The slope is 1/2
Step-by-step explanation:
To find the slope you use the formula rise/run
The rise is the second y coordinate minus the first y coordinate
The run is the second x coordinate minus the first y coordinate
Step one:
Take 2 points: I used (2,1) and (4,2)
Step two:
Use the formula
2-1/4-2
The answer is the slope of the line
The slope is 1/2