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:
AC = 18 ft
Explanation:
There is a geometric theorem that states that:
" In a triangle, the line joining two midpoints of two sides is parallel to the third side and equals have its length"
Now, let's check the given triangle:
M is the midpoint of AB
N is the midpoint of BC
Based on the above theorem:
MN will be parallel to AC
and
length of MN = (1/2) * length of AC
We are given that:
length of MN = 9 ft
Therefore:
9 = (1/2) * length of AC
length of AC = 2 * 9 = 18 ft
Hope this jhelps :)
Answer:
The temperature changed by 
overnight.
The temperature changed by 
overnight each hour.
Step-by-step explanation:
Given that:
Temperature at 7 PM last night = 
Temperature at 7 AM the next morning = 
a. The change in temperature from 7 PM to 8 AM = Temperature at 7 AM - Temperature at 7 PM
Negative sign indicates that the temperature has decreased.
b. Change in temperature each hour:
Divide the Change in temperature with the number of hours.
Negative sign indicates that the temperature has decreased.
0.1 is your answer hope this helps
