Answer:
2
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
-14/-7 = 2
Check by dividing the third term by the second term
-28/-14 = 2
The common ratio is 2
Answer:
The sides of the rectangle can then be divided into parts to reveal partial products that make up the total product. This helps students develop the flexibility and conceptual understanding required to build fluency with basic facts and strategies for multiplication of larger numbers.
Step-by-step explanation:
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=
3= x1
2= x2
6= y1
10=y2
m=
=
= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
Answer:

Step-by-step explanation:
Since we're dividing the polynomial by
, we'll be using -1 to start the division.
Before setting the division up, let's list the coefficients of
from descending powers and the constant.
The coefficient of
is 3
Since we don't see an
, the coefficient will be 0.
The coefficient of
is 5.
Lastly, the constant, which is the term without the
is -1.
Refer to the attached picture before continuing.
After referring to the picture, we now have the coefficients for the quotient.
The coefficient of
is 3.
The coefficient of
is -3.
The constant is 8.
Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.
The remainder is actually
.
Now putting all the pieces together, we get:
