Y=mx+b
m=slope
b=y intercept
perpendicuar lines have slopes that multiply to get -1
so
solving for y
add 4x both sides and divide by5 to get
y=4/5x+2
slope is 4/5
perpendicular means the slopes multiply to get -1
so
4/5 times what=-1?
what=-5/4
so
y=(-5/4)x+b
find b
given the point (-15,8)
8=(-5/4)(-15)+b
8=75/4+b
-43/4=b
y=(-5/4)x-43/4
Im going to say the answer is C:)
Let
d = the total number of dairy cattle
b = the total number of beef cattle
2/3 of the dairy cattle on a farm are in the barn, and we know that 24 dairy cattle are in the barn thus:
(2/3)d = 24
d = 36 dairy cattle
1/4 of the beef cattle are in the barn and there are 16 beef cattle in the barn thus:
(1/4)b = 16
b = 64 beef cattle
64 - 36 = 28
There are 28 more beef cattle on the farm than dairy cattle.
Answer:
y=6
Step-by-step explanation:
|10-5y|=20
Since the absolute value is isolated, we can then separate the equations
For absolute values, there is a positive and negative when we remove the absolute values.
10-5y = 20 10-5y= -20
Subtract 10 from each side
10-10-5y = 20-10 10-10-5y= -20-10
-5y = 10 -5y = -30
Divide by -5
-5y/-5 =10/-5 -5y = -30/-5
y =-2 y =6
Answer:
Step-by-step explanation:
Both of the triangles are special 30-60-90 triangles
and the side lenghts for these angle mesurements are followed : q, q√(3),2q
q is given as 3 from the 9th question
so a = 6 (because it's 2q) and
b = 3
For the 10th question
the side length that sees 30 degrees is 3 which means q = 3 again
and x = 6
y = 3√(3)
