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ira [324]
3 years ago
14

4x – 5 + 2(x – 3) = 12x + 7 X=

Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

-3

Step-by-step explanation:

4x - 5 + 2(x - 3) = 12x + 7

4x - 5 + 2x - 6 = 12x + 7

4x + 2x - 5 - 6 = 12x + 7

6x - 11 = 12x + 7

<em>collect like terms</em>

6x - 12x = 7 + 11

-6x = 18

-x = 3

x = -3

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Item 20 You are riding a roller coaster when a shoe falls off your foot. The function y=200−16t2 represents the height y (in fee
AleksandrR [38]
Assuming you mean y = 200 - 16t^2, we have all the required information needed to solve this problem. The y-value is the height of the building and the t-value represents the number of seconds after the shoe fell off.

Since we are trying to solve <em>for t</em>, we will be using our y-value. The problem states that we landed on a building with a height of 31 feet. We can plug this into the y-value, since that is what y is defined as (the height of the building).

Now we have:
31 = 200 - 16t^2

We can solve this to find t:
-169 = -16t^2
169 = 16t^2
10.5625 = t^2
3.25, -3.25 = t

We have found two answers for t. However, the negative value is not a solution because we can not have a negative number of seconds. Thus, 3.25 is the only value of t which works for this problem.

Since t is the value we are trying to find, we have our answer. The shoe hits the building after 3.25 seconds.
7 0
3 years ago
Read 2 more answers
Can someone please help me ASAP
USPshnik [31]

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

8 0
3 years ago
Answer the question to become brainliest
marishachu [46]

Answer:

2406.17 cm³

Step-by-step explanation:

The following data were obtained from the question:

Height (h) = 24.4 cm

Base length (L) = 17.2 cm

Volume (V) =?

Next, we shall determine the base area of the pyramid. This can be obtained as follow:

Base length (L) = 17.2 cm

Base area (B) =.?

B = L × L

B = 17.2 × 17.2

B = 295.84 cm²

Finally, we shall determine the volume of the pyramid. This can be obtained as follow:

Height (h) = 24.4 cm

Base area (B) = 295.84 cm²

Volume (V) =?

V = ⅓Bh

V = ⅓ × 295.84 × 24.4

V = 2406.17 cm³

Thus, we volume of the pyramid is 2406.17 cm³

7 0
3 years ago
The line segment is rotated by 270 degrees counterclockwise about the origin to form C'D'. Which statement describes C'D'? C'D'
Elan Coil [88]

Answer:

  • A. C'D' is 4 units long

Step-by-step explanation:

According to the graph, CD is 5 - 1 = 4 units long.

Rotation doesn't change the length of the segment, so C'D' = CD = 4 units.

Correct choice is A.

7 0
3 years ago
What is the slope of the line passing through (-3, 5) and (5,-3)?
Delvig [45]
-1 is the answer to your question
8 0
3 years ago
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