Answer:
-4
Step-by-step explanation:
When the dilation center is the origin, the dilation factor is the ratio of dilated coordinates to original coordinates: 4/-1 = -12/3 = -4.
The answer is quite simple the question is more so as 6·y = 144
so rather do 144÷6 which would equal 24
Answer:
Step-by-step explanation:
In the first part the given polynomial is
, we have to divide this polynomial by (x-1) using synthetic division.
Here are the steps of synthetic division
Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.
Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)
Step 4: Add the column made in step 3. Repeat these steps until the last column reached.
In the second part,
It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.
In the third part,
Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.
As explained the steps of synthetic division in first part
x-3=0 ⇒ x=3 which is a
In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.
As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
The columns which is formed by above steps are added.
An angle bisector divides an angle into equal parts.
<em>The value of x is 7</em>
The given parameters are:


Line AE is the angle bisector of 
This means that:

So, we have:

Divide both sides by 2

Subtract 2 from both sides

Divide both sides by 9

Rewrite as:

Hence, the value of x is 7
Read more about angle bisectors at:
brainly.com/question/12896755
Answer: 1.75 minutes
Step-by-step explanation:
6 gallons per minute.
14.5-4=10.5
10.5/6=1.75 minutes