Answer:
the integer is 5
Step-by-step explanation:
x^2+3(x+1)=43
x^2+3x+3=43
x^2+3x+(9/4)=43-3+(9/4)
(x+(3/2))^2=42 1/4
x+(3/2)=sqrt(42 1/4)
x+(3/2)=6 1/2
x=(6 1/2)-(3/2)
x=5
check:
5^2+3(6)=43
25+18=43
43=43
Answer:
w = 8
Step-by-step explanation:
–9 = –3(w − 5)
-3(w - 5) = -9
w - 5 = 3
w = 5 + 3
w = 8
9514 1404 393
Answer:
D. y = ±√(25 -x²)
Step-by-step explanation:
Subtract x² and take the square root to solve for y.
x² +y² = 25 . . . . . . . given
y² = 25 -x² . . . . . . . . subtract x²
y = ±√(25 -x²) . . . . . take the square root
I have to interpret that:
1) the smaller square has side length = 3 cm
2) the bigger square has side length = 5 cm
3) the smaller square is completely inside the bigger square.
4) the points cannot be outside the bigger square
Under those assumptions the probability that a point is inside the smaller square is
P (inside the smaller square) = area of the smaller square / area of the bigger square
P (inside the smaller squere) = (3cm)^2 / (5cm)^2 = 9 / 25
Answer: 9 / 25
