A line is drawn through (-4,3) and (4,3). Which describes whether or not the line represents a direct variation

Answers

Answer 1

Answer:

If the resultant line is a straight line,it represents a direct variation.

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Enter in standard form the equation of the line passing through the given point and having the given slope.. . B(2, - 5), m = -2/3

Answers

y = mx + b
slope(m) = -2/3
(2,-5)...x = 2 and y = -5
now we sub, we r looking for b, the y int
-5 = -2/3(2) + b
-5 = - 4/3 + b
-5 + 4/3 = b
- 15/3 + 4/3 = b
- 11/3 = b

equation is : y = -2/3x - 11/3...but we need it in standard form
Ax + By = C

y = -2/3x - 11/3
2/3x + y = - 11/3....multiply by 3
2x + 3y = -11 <== standard form

Answer:

y = mx + b

slope(m) = -2/3

(2,-5)...x = 2 and y = -5

now we sub, we r looking for b, the y int

-5 = -2/3(2) + b

-5 = - 4/3 + b

-5 + 4/3 = b

- 15/3 + 4/3 = b

- 11/3 = b

equation is : y = -2/3x - 11/3...but we need it in standard form

Ax + By = C

y = -2/3x - 11/3

2/3x + y = - 11/3....multiply by 3

2x + 3y = -11 <== standard form

A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?

Answers

Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.

Given the following data:

Mass of cart 1 = 4.0 kg

Velocity of cart 1 = 9.0 m/s

Mass of cart 2 = 3.0 kg

To find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:

For a perfectly inelastic collision:

$M_1V_1 - M_2V_2 = V_f(M_1 + M_2)$

When the carts stick together and come to rest after the collision, the final velocity is zero (0).

$M_1V_1 - M_2V_2 = 0\n\nM_1V_1 = M_2V_2\n\nV_2 = (M_1V_1)/(M_2)$

Substituting the given parameters into the formula, we have;

$V_2 = (4(9))/(3)\n\nV_2 = (36)/(3)$

Initial speed = 12 m/s

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs are sold, what's the company's profit?

a)$500
b)$1,450
c)$1,500
d) $2,250

Answers

Hello,

P(x)=20x-50
==>P(75)=20*75-50=1450
Answer B

The correct answer is the second option!

B) $1,450

Just took the test on edgen & got it right! :)

If A and B are complementary angles and A = (8x+20), B = (7x-5) find A

Answers

Answer:

m∠A = 60°

Step-by-step explanation:

Complementary Angles add up to 90°

Step 1: Set up equation

8x + 20 + 7x - 5 = 90

Step 2: Solve for x

15x + 15 = 90

15x = 75

x = 5

Step 3: Find m∠A

m∠A = 8x + 20

m∠A = 8(5) + 20

m∠A = 40 + 20

m∠A = 60°

What is the next odd number after 160 to which 9 would divide without a reminder

Answers

ok so one way is to list the multiplues of 9 close to thtat
first use a caltulator to find out how much more we need
160/9=17.777777
that is 17.7777 nine's
so round up
18
18 is even
odd times even=even
18 must be odd
18+1=19
9 times 19=171
the answer is 171

160 divided by 9 is 17.78. 9 goes into 162 but that is even. The next number 9 goes into is 171 and that is odd so the. answer is 171.

Solve the following system of equations:4x + 7y − 2z = 0
3x − 5y + 3z = 9
3x + 6y − z = 1

(−1, 0, −2)
(1, 0, −2)
(−1, 0, 2)
(1, 0, 2)

Answers

Hello,

Answer D (1,0,2) (méthode du pivot de Gauss)

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