Answer:

Step-by-step explanation:
Given that:
Difference of two trinomials is 
One of the two trinomials is 
To find:
The other trinomial = ?
Four options are:

Solution:
Let the two trinomials be A and B.
Given A - B = 
B = 
We have to find the other trinomial A.
A - B = 
A - (
) = 
A =
+ (
)
A = 
So, the correct answer is
.
Answer:
d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Step-by-step explanation:
find the diagonal line passing through the middle of the bottom rectangle:
a² + b² = c²
10² + 8² = c²
100 + 64 = 164
c² = 164
c = √164
c = 12.8062484729
find d:
a² + b² = c²
12² + 12.80624847298² = c²
144+ 164 = 308
c² = 308
c = √308
c = 17.5499287748
therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:

Answer:
$16.
Step-by-step explanation:
Let t represent the cost of each tree.
We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.
We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be 
The total cost of purchasing 8 trees will be
.
Since the total cost of the trees including the delivery was $168, so we can get an equation as:



Upon dividing both sides of our given equation by 8, we will get:
Therefore, the cost of each tree is $16.
The equation of the line is 
Explanation:
The equation of the line is perpendicular to
The equation is of the form
where m=-14
<u>Slope:</u>
The slope of the perpendicular line can be determined using the formula,



Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the slope
and the point (2,-4), we get,

Simplifying, we get,



Thus, the equation of the line is 