4x + 13y = 40
4x + 3y = -40
multiply second equation by -1
4x + 13y = 40
-4x - 3y = 40
add equations together
10y = 80
y = 8
put y in either original equation
4x + 3(8) = -40
4x + 24 = -40
subtract 24 from both sides
4x = 64
x=16
y=8
Answer:
C) The square root of terms separated by addition and subtraction cannot be calculated individually.
Step-by-step explanation:
sqrt(b² - 4ac) is not equal to
b - sqrt(4ac)
Because when you square b - sqrt(4ac), it's not b² - 4ac..
(b- sqrt(4ac))² = b² - 2bsqrt(4ac) + 4ac
Answer:
x = 3 units
SV = 2 units
Step-by-step explanation:
In
QR and ST are chords such that:
QR = ST = 4
That is both the chords are equal in measure.
Equal chords are at equal distance from the center of the circle. Therefore,
VZ = UZ
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3 units
Since, perpendicular dropped from the center of the circle bisects the chord.

Answer:
100
Step-by-step explanation:
Answer:
5 bags
Step-by-step explanation:
The volume of the tub is the product of its dimensions:
V = (1.8 m)(0.5 m)(0.25 m) = 0.225 m³
There are 1000 L in 1 m³, so this volume in liters is ...
(0.225 m³)(1000 L/m³) = 225 L
At 50 L per bag, the gardener needs ...
(225 L)/(50 L/bag) = 4.5 bags
The gardener probably cannot purchase a partial bag, so must buy more than is needed.
The gardener must buy 5 bags of compost to fill the tub.