What is the first layer of the atmosphere in astronaut pass through during the re-entry from space

Write a linear equation that passes through the two points (-6, -7) and (3, -4).

Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

$y=mx+b$

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

$slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}$

So, slope is $\frac{1}{3}$

Now finding y-intercept b

Putting slope $\frac{1}{3}$ and point(-6,-7)

$y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5$

So, value of b is -5

Putting values to find the equation:

$y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5$

So, linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Keywords: Linear Equation,

Learn more about Linear Equation at:

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5 0

3 years ago

If n is the larger of two consecutive numbers, write an expression for the other number. Examples of consecutive numbers: 2, 3,

____ [38]

Answer:

The expression for the other number is (n-1)

Step-by-step explanation:

we know that

The difference between two consecutive number is equal to 1

Let

x ----> the smaller of two consecutive number

n ----> the larger of two consecutive numbers

we have that

$n-x=1$

Solve for x

$x=n-1$

therefore

The expression for the other number is (n-1)

8 0

2 years ago

Which statement regarding the diagram is true?

babymother [125]

Answer: C

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

HELP Select the correct answer.<br> What is the solution of this linear system?

deff fn [24]

The solution for the given linear equation is ( 14, 8, 10 ), that is mentioned in option C.

Step-by-step explanation:

The give linear equations,

$p+q+r = 32$ ............................(1)

$p-r = 4$ .............................(2)

$2p+q=36$ ............................(3)

Step:1

Check for Option A,

A ( 16, 8, 8 ) - ( p, q, r )

Equation (1) becomes,

16 + 8 + 8 = 32

32 = 32

Equation (2) becomes.

16 - 8 = 4

8 ≠ 4

Equation (3) becomes,

2(16) + 8 = 36

40 ≠ 36

Check for Option B,

B ( 14, 10, 8 ) - ( p, q, r )

Equation (1) becomes,

14 + 10 + 8 = 32

32 = 32

Equation (2) becomes.

14 - 8 = 4

6 ≠ 4

Equation (3) becomes,

2(14) + 10 = 36

38 ≠ 36

Check for Option C,

C ( 14, 8, 10 ) - ( p, q, r )

Equation (1) becomes,

14 + 8 + 10 = 32

32 = 32

Equation (2) becomes.

14 - 10 = 4

4 = 4

Equation (3) becomes,

2(14) + 8 = 36

36 = 36

Check for Option D,

D ( 10, 12, 10 ) - ( p, q, r )

Equation (1) becomes,

10 + 12 + 10 = 32

32 = 32

Equation (2) becomes.

10 - 10 = 4

0 ≠ 4

Equation (3) becomes,

2(10) + 12 = 36

32 = 36

Check for Option E,

E ( 10, 15, 10 ) - ( p, q, r )

Equation (1) becomes,

10 + 15 + 10 = 32

35 ≠ 32

Equation (2) becomes.

10 - 10 = 4

0 ≠ 4

Equation (3) becomes,

2(10) + 15 = 36

35 ≠ 36

Result:

The solution for the given linear equation is ( 14, 8, 10 ), that is mentioned in option C.

8 0

3 years ago

HURRY!!! 20POINTS!!! PLEASE!!!<br>If y=3/4 when x=1/2, find y when x=3

musickatia [10]

If y = 0.75 when x = 0.5, set up a proportion -

0.75:0.5
x:3

Since you have to multiply 0.5 by 6 to get 3, multiply 0.75 by 6 to get your answer: y = 4.5 when x = 3.

8 0

3 years ago

What is the first layer of the atmosphere in astronaut pass through during the re-entry from space​

What is the first layer of the atmosphere in astronaut pass through during the re-entry from space