Answer: The correct answer is Choice D, (5, 7).
First, we need to identify the slope from A to B.
It will be -5/-5. In other words, to go from A to B, we move down 5 spaces and left 5 spaces.
If we are going to divide the segment, we are not going to move all 5 spaces in each direction.
Since we are looking for a 2:3 ratio, we are only moving 2 out of the total of 5 spaces. It is 2 over 5, because 2 + 3 makes a total of 5.
Therefore, we only move down 2 and left 2 spaces from Point A. That will put us at the point (5, 7).
-50 + 17 = - 33
-33 + 17 = -16
- 16 +17 =1
This is arithmetic sequence, where 1st term is -50,
and common difference is 17.
Formula for the term of arithmetic sequence
a(n) = a(1) +d(n-1) = -50 +17(n-1) = -50 +17n - 17 = -67 +17n
So, we can write a formula
a(n) = -67 +17n
-2
Step-by-step explanation:
Answer:
x=0 and y= -2
Step-by-step explanation:
−5x+y=−2for y:
−5x+y=−2
−5x+y+5x=−2+5x(Add 5x to both sides)
y=5x−2
5x−2foryin−3x+6y=−12:
−3x+6y=−12
−3x+6(5x−2)=−12
27x−12=−12(Simplify both sides of the equation)
27x−12+12=−12+12(Add 12 to both sides)
27x=0
x=0
Substitute0 for X in y=5x−2:
y=5x−2
y=(5)(0)−2
y=−2(Simplify both sides of the equation)
Answer:
Step-by-step explanation:
First you take the 142+B=180
because those 2 are supplementary
B=38
and you see the 2 lines on the 2 sides that means those two sides are equal to each other and the angles corresponding with them are also equal to each other.
and a triangle= 180 degrees
A and E are the same so A=E
180-B(38)= 142
and because A=E you do 142/2= 71
and now that you have A and E you don't need A or B for the last part so
E+(x)=180 because those two angles are supplementary.
and E is 71 so...
71+(x)=180 ---------180-71=x
X=109
