Answer:
y=2x+17
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-(-8))
y-1=2(x+8)
y=2x+16+1
y=2x+17
The answer for your question is C. The reason is I multipled 15 and 6 which gave me 90 and that is closest to the answer C which is 72.73.
Hope this helps:)
Answer:
The first number is 20, the second one is 11
Step-by-step explanation:
Let the first number be x and the second number be y
Since it says "9 is the difference between two numbers", the first equation will be x-y=9
It also says that "their sum is 31". That means the second equation will be x+y=31
here are the two equations:
x-y=9
x+y=31
You can solve this any way you like, but I'll show elimination
add the two equations
x-y=9
x+y=31
2x=40
divide by 2
x=20
Substitute 20 as x in one of the equations
20+y=31
subtract 20 from both sides
y=11
That means the two numbers are 20 and 11
Hope this helps!
Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector
by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector
by a scale factor of 2.5
→ 
Followed by the rotation by 90° Or
radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector
will become,
→ 
If we represent this vector by
,
Then a = -1 and b = -2.5 will be the answer.
Answer:
The fraction of the original strip left is
.
Step-by-step explanation:
We have that,
A strip of paper is cut in
. So, the strip of paper left is
.
Now, again the remaining part is cut in half. The part left will be
i.e.
.
Finally, the remaining part is again cut in half.
We get, the final part of the paper remaining is
i.e.
.
So, the fraction of the original strip left is
.