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nekit [7.7K]
3 years ago
6

Solve for x given m<2=4(x+1) and m<8=0.5(2x-4)

Mathematics
1 answer:
jeyben [28]3 years ago
8 0
Angle 2 is equal to angle 8. See the rest in the photo.

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A boy yells in a narrow valley. the sound reflects off of a boulder that is 80 m away. how long will it take to hear the echo if
Angelina_Jolie [31]

Answer:

  0.50 seconds

Step-by-step explanation:

The time it takes for an echo to return is the time it takes for the sound to make the round trip between the source and the reflecting object.

The boulder is 80 m away from the source, so the round-trip distance is 2×80 m = 160 m. At a speed of 320 m/s, it takes sound ...

  (160 m)/(320 m/s) = 0.50 s

to make the round-trip.

It will take 0.50 seconds to hear the echo.

3 0
3 years ago
Read 2 more answers
The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0)
VashaNatasha [74]

Answer:

Step-by-step explanation:

Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).

For C(0), we are to substitute x = 0 into the given function;

C(0) = 0²+78(0)+29

C(0) = 0+0+29

C(0) = 29

Since the cost C(x) is in hundreds of dollars, C(0) = 2900

<em>C(0) means that the cost of producing 0 thousand pen is $2,900</em>

For C(2), we are to substitute x = 2 into the given function;

C(2) = 2²+78(2)+29

C(2) = 4+156+29

C(2) = 189

Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900

<em>C(2) means that the cost of producing 2 thousand pens is $18,900</em>

For C(4), we are to substitute x = 4 into the given function;

C(4) = 4²+78(4)+29

C(4) = 16+312+29

C(4) = 357

Since the cost C(4) is in hundreds of dollars, C(4) = 357

<em>C(4) means that the cost of producing 4 thousand pens is $35,700</em>

<em></em>

6 0
3 years ago
Given the formula below, solve for x. y - y1 = m(x-x1)
Alona [7]

Answer:

y-3 = 2/9 (x-8)

Step-by-step explanation:

3 0
3 years ago
A scale for a scale drawing is 10 cm: 1 mm which is larger the actual object or the scale drawing
Yanka [14]
Since 10 cm is bigger than 1 mm, the scale drawing is bigger

3 0
4 years ago
Figure ABCDEF was reflected across the line y = –x to create figure A'B'C'D'E'F'. On a coordinate plane, a 6-sided figure has po
jarptica [38.1K]

Answer: I think the answer is C. (2, -4)

Step-by-step explanation:

When you reflect an image across the line Y = -X, you switch and negate both the X and Y-values. So just reverse the coordinate of F'. By doing this, you will get (2, -4).

9 0
4 years ago
Read 2 more answers
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