Answer:
y = -1/2 x - 13/2
Step-by-step explanation:
what is an equation of the line that is perpendicular to y-4=2(x-6) and passes through (-3,-5)
First, we need the slope of the given line.
y - 4 = 2(x - 6)
y - 4 = 2x - 12
y = 2x - 8
The slope of the given line is 2.
The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular is -1/2.
y = -1/2 x + b
We use the given point as x and y and solve for b.
-5 = -1/2(-3) + b
-10 = 3 + 2b
2b = -13
b = -13/2
The equation of the perpendicular line is:
y = -1/2 x - 13/2
Answer:
y=4√3 units
Step-by-step explanation:
Hi there!
We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y
We need to find the value of y (BC)
The side AB is the hypotenuse of the (the side opposite from the right angle).
BC is a leg, which is a side that makes up the right angle.
Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to 
, where a is the length of the hypotenuse
Since we have the hypotenuse given as 8, the length of BC (y) is 
, or 4√3
so <u>y=4√3 units</u>
Hope this helps!
..............................................
Answer: 31.5
Step-by-step explanation:
9*3.5=31.5
Hopefully this is what they meant
Answer:
3
Step-by-step explanation:
subtract 1 from 13 divide the number by 4
