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2 answers:
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Answer:
see explanation
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 )
• If m > 0, then the line slopes upwards from left to right ( increases )
• If m < 0, then the line slopes downwards from left to right ( decreases )
(a)
y + x = 3 ( subtract x from both sides )
y = - x + 3 ← in slope-intercept form
with m = - 1 ⇒ decreasing from left to right
(c)
y = 4x + 8 ← is in slope-intercept form
with m = 4 ⇒ increasing from left to right
the equation of a line in the form x = c represents a vertical line, where c is the value of the x-coordinates the line passes through
(b)
x - 5 = 0 ( add 5 to both sides )
x = 5 ← is a vertical line
the equation of a line in the form y = c represents a horizontal line, where c is the value of the y-coordinates the line passes through
(d)
= - 6 ( multiply both sides by 4 )
y = - 24 ← is a horizontal line
Answer:
3
Step-by-step explanation:
Drink mix ratio:
Lemonade : Orange : Cranberry
6 : 3 : C
Fraction of Cranberry juice =
Sum of the ratio = 6 + 3 + C = 9 + C
Fraction of Cranberry;
=
3(9 + C) = 12C
27 + 3C = 12C
27 = 12C - 3C
9C = 27
C = 3
The missing number will be 3
Recall the fundamental rule of trig:
So, there exists an angle such that
if and only if
Working out the numbers, we get
So, there doesn't exist a number such that