Answer:
Therefore reminder = 2802
Step-by-step explanation:
f(x)=x³+6x²-20x+450
x-12)x³+6x²-20x+450(x²+18x+196
x³-12x²
____________________
+18x²-20x+450
18x²-216x
_______________
196x +450
196x-2352
_____________
2802
Therefore reminder = 2802
Answer: 20 parks
Step-by-step explanation:
Let the total number of parks be y.
Then 75% of y = 15 , that is
x y = 15
75y = 15 x 100
75y = 1500
divide through by 75
y = 1500/15
y = 20
Therefore Springfield have 20 parks altogether
Answer:
Step-by-step explanation:
We are given a ΔPQR in which S is the mid point of QP , T is the mid point of QR
, U is the mid point of PR
i) is true
⇒
Using mid segment theorem which states that In a triangle, the line joining the midpoints of any two sides will be parallel to the third side and that same line joining the midpoints is also half of length of third side .
So, by refering image we can see that UT is the line joining the two mid points . So, by using above theorem 1/2QP=UT and UT is parallel to PQ
Thus, (i) statement is true
⇒
Step-by-step explanation:
so,
y = -9x + 2
now we need to transform this equation that actually x is calculated out of y.
and then, at the end, to make the inverse function a formally correct function, we rename x to y and y to x.
so,
y = -9x + 2
y - 2 = -9x
x = -(y - 2)/9 = (-y + 2)/9
=> for a formal function definition
y = (-x + 2)/9
Answer:
254.4 in²
Step-by-step explanation:
Area of a circle is given by the formula:

Our radius is 9 so we substitute this into the equation:
π(9)² = 81π
81π = 254.4 in²