I can help you because I know how to convert fractions to mixed numbers, but what is the question exactly?
Answer:
First option: 
Second option: 
Fourth option: 
Step-by-step explanation:
Rewrite each equation in the form 
and then use the Discriminant formula for each equation. This is:
1) For :
Then:
Since 
this equation has no real solutions, but has two complex solutions.
2) For :
Then:
Since this equation has no real solutions, but has two complex solutions.
3) For 
:
Then:
Since 
this equation has one real solution.
4) For :
Then:
Since , this equation has no real solutions, but has two complex solutions.
Step-by-step explanation:
point slope formula: y-y1=m(x-x1)
m= y2-y1/x2-x1
input numbers
so slope:
m=(9--8)/(-7--8)
(-)×(-)=+
(+)×(-)=(-)
so m=17/1
m=17
now point slope
y--8=17(x--8)
y+8=17x+136
to get y alone we have to use opposite operations
y and 8 are adding so we need to subtract on both sides
y+8-8=17x+136-8
y=17x+128
Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Do you mean something like y<21?
