Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33
Answer:
The ratio is 6:2:1.
Step-by-step explanation:
Let's denote:
Blue counter b
Red counter r
Yellow counter y.
There is given
r=3b (three times more red as blue) [1]
and
b=2y (twice more blue as yellow.) [2]
Now, replacing [2] to [1] gives
3*2y=r
6y=r.
Hence, the ratio is 6:2:1, because r=6y and b=2y.
The complement is what adds to an angle to get 90 degrees
so
x is 25 mroe than 4 times y
x+y=90
x=25+4y
sub 25+4y for x
25+4y+y=90
25+5y=90
minus 25 both sides
5y=65
divide both sides by 5
y=13
sub back
x+y=80
x+13=90
x=77 degrees
Answer: it’s d
I don’t have time to write the work but there you go
Answer:
f = g + d/v
Step-by-step explanation:
g = f - d/v
add d/v to both sides
g + d/v = f
switch sides
f = g + d/v
