X^2 - 3x + p = 0
x^2 + qx + 7 = 0
αβ = p..........................(1)
3α + 3β = -q..................(2)
3α3β = 9αβ = 7
so substituting for αβ from (1):-
9p = 7
p = 7/9
α + β = 3 ( from first equation)
from (2) -q = 3 (α + β)
so -q = 3*3 = 9 and q = -9
Answer is p = 7/9 and q = -9
Answer:
142.5 in^2
Step-by-step explanation:
First, find the area of the rectangle
19*10= 190
Now find the area of the triangle
A=1/2bh
A=1/2(19)(10-5)
A=47.5
Since we need the shaded region, subtract the triangle area from the rectangle area
190-47.5=142.5
Answer:
AC = 8x - 4
Step-by-step explanation:
AC = AB + BC
AC = 6x - 7 + 2x + 3
AC = 6x + 2x - 7 + 3
AC = 8x - 4
Answer:
$209,573.00
Step-by-step explanation:
when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.
hope this helps please lmk if its wrong :)
Answer:
4 units
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
given A = 14 and h = 7 , then
× 7b = 14 ( multiply both sides by 2 to clear the fraction )
7b = 28 ( divide both sides by 7 )
b = 4 units
