Answer any of the following:

1 answer:

Volgvan3 years ago

4 0

1. Solve the system by substitution -2x+y=-11, 3x-4y=11.
-2x+y=-11
y = 2x-11

3x-4y=11
3x-4(2x-11)=11
3x -8x + 44 = 11
-5x = -33
x =33/5
y = 11/5

2. Solve the system using elimination- 2x+6y=-12, 5x-5y=10.
(-2x+6y=-12)5
-10x + 30y = -60

(5x-5y=10)2
10x - 10y = 20

Adding the two equations,
-10x + 30y = -60
10x - 10y = 20

20y = -40
y = -2
x = 0

3. What is the solution of the following system?-3x-2y=-12, 9x+6y=-9.
-3x-2y=-12
y = -3/2 x + 6

9x+6y=-9
y = -3/2 x - 3/2

Since the slopes are equal then they are parallel lines so they never meet at one point.

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What is the value of the expression 8p4

Nady [450]

ANSWER

$8P_4 = 1680$

EXPLANATION

We use the formula

$nP_r = \frac{n!}{(n - r)!}$

For

$8P_4$

and n=8, r=4.

$8P_4= \frac{8!}{(8- 4)!}$

This simplifies to

$8P_4= \frac{8!}{4!}$

We expand the numerator using factorial notation,

$8P_4= \frac{8 \times 7 \times 6 \times 5 \times 4!}{4!}$

The common factors cancel out.

$8P_4= 8 \times 7 \times 6 \times 5$

$8P_4= 1680$

3 0

3 years ago

Find the volume of the tank below. A. 63 m^3 B. 54 m^3 C. 78 m^3 D. 96 m^3

Andrei [34K]

Answer:

$V = 62.832m^3$ (Approximation to the nearest thousandth)

Step-by-step explanation:

The area of a cylinder can be determined by the formula:

$V = \pi r^2h$ (We know that the radius, r, is 2m, and the height, h, is 5m, so we can substitute them into the formula to calculate the volume of this cylindrical tank)