y=kx+b
for (7,-8): -8=7k+b. (function 1)
for (-4,6): 6=-4k+b (function 2)
Use function 2 - function 1
we get: 14=-11k
k=-14/11------>slope is -14/11
Now we know that first two options are wrong since they have the wrong slope for the function.
Plus -14/11 back to function 1/ or 2. Both are correct and can give you the answer. In this case I would plug it back to function 2.
6=14*4/11+b
b=66/11-56/11
b=10/11
We get y=-14/11x+10/11
subtract both side by 6.
y-6=-14/11x+10/11-66/11
y-6=-14/11x-56/11
y-6=-14/11(x+4)
So C is correct
5/6 of the paper is devoted to news and pictures
first I made the fraction have equal denominators which was 6 by doing that I multiplyed the numerator and the denominator
1/2
1×3=3
2×3=6
therefore 1/2 being equivalent to 3/6
1/3
1×2=2
3×2=6
therefore 1/3 being equivalent to 2/6
now you would be able to add the numerators, so 2+3=5
therefore being 5/6 of the paper is devoted to news and pictures
Answer:
$0.21 per year
Step-by-step explanation:
$0.21 times 5 years equals $1.05
So its $0.21
Answer:
Given: 
and 
.
Prove: 
Since , By the definition of perpendicular lines angles 1, 2, 3 and 4 are 90 degree. similarly , it means angles 5, 6, 7 and 8 are 90 degree.
We can say that,
, 
, 
and 
From figure it is noticed that the angle 1 and 5 are corresponding angles.
If two parallel lines are intersected by a transversal, then the corresponding angles are equal.
Since corresponding angles are congruent, therefore the line must be parallel to each other.
Hence proved that .
