Answer:
(-2,-1)
Step-by-step explanation:
On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!
Answer:
using imaginary numbers
Step-by-step explanation:
Answer:
a = 7, b = 
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° = 
, then
sin45° = 
= 
= ( cross- multiply )
a × 
= 7 ( divide both sides by )
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° = 
, then
tan60° = 
= 
= 
= ( multiply both sides by b )
b × = 7 ( divide both sides by )
b = 
× 
=
Recall that parallel lines have the same slope.
A line parallel to y= (-3/5)x + 8 would have the same equation EXCEPT for a different constant, C, replacing that '8.'
This new line passes thru (-5,-3). In y= (-3/5)x + C, replace x with -5 and replace y with -3. Then:
-3 = (-3/5)(-5) + C. Find C:
-3 = 3 + C. Thus, C = 6
Thus, the equation of the new line is y= -(3/5)x - 6
Check: Let x = -5 and y = -3. Is the above equation true?
-3 = (-3/5)(-5) - 6
-3 = 3 - 6, or -3 = -3.
