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yan [13]
3 years ago
15

what is an equation of a line that passes through the point (1,-7) and is parallel to the line 3x+y=3

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0

Answer:

3x+y=-3

Step-by-step explanation:

change the positive 3 to -3

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I think it would be the second graph
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What solid figure has 4 faces 6 vertices
Nostrana [21]
I don't think there is one. A triangular pyramid has 4 faces and 4 vertices, and a <em>square pyramid</em> has 4 faces and 5 vertices;
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Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.
Readme [11.4K]

Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

  • A room with dimensions 5.2 m by 4.3 m by 2.9 m
  • The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

                                  = 5.2 m × 4.3 m × 2.9 m

                                  = 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

                  = 64,844 L ÷ 1200 L/min

                   = 54.0367 minutes

                   = 54 minutes

Therefore, it would take approximately 54 minutes

4 0
3 years ago
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
fiasKO [112]

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

y = 2x + (-2)

y = 2x - 2

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

8 = 2(a) - 2

8 = 2a - 2

Add 2 to both sides

8 + 2 = 2a

10 = 2a

Divide both sides by 2

\frac{10}{2} = a

5 = a

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

b = 2(4) - 2

b = 8 - 2

b = 6

5 0
3 years ago
One circle has a circumference of 12 pie Another circle has a circumference of 32 pie What is the ratio of the radius of the sma
UNO [17]

Answer:

3 : 8

Step-by-step explanation:

The ratio of the radii is equal to the ratio of the circumference, then ratio is

12π : 32π ( divide both parts by 4π )

= 3 : 8

6 0
3 years ago
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