Answer:x>-1
Step-by-step explanation:
Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y =
x + 5 ← in slope-intercept form
with slope m = 
given a line with slope m then the slope of a line perpendicular to it is
= -
, hence
= - 1 /
= - 
y = -
x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 =
+ c ⇒ c = - 
y = -
x -
← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form
Answer:
17/3 or in decimal form, 5.67 gallons for each person.
Step-by-step explanation:
If 34 gallons of fruit punch will be shared equally with 6 people, just divide 34 by 6.
34/6 = 17/3 or in decimal form, 5.67 gallons for each person.
Use Pythagoras theorem,
c² =a² +b²
x² =10² +10<span>²
</span>x<span>² =100+100
</span>x<span>² =200
</span>x=14.14
x=14.1