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Pie
3 years ago
7

Write the formula for a function d(x) that describes the distance between the point p and a point (x,y) on the line.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0
M=y2-y1 divided by x2-x1. or y=mx+b

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its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai
brilliants [131]

T = \frac{-9}{2}x + 103 is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

<em><u>Solution:</u></em>

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c  ----- (ii)

<em><u>Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain</u></em>

Given, when c = 12 thousand ft and T = 49^{\circ} fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c = \frac{-9}{2}

Substituting the value of c in (ii) we get

k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103

Substituting the value of c and k in (i)

T = \frac{-9}{2}x + 103

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0
3 years ago
P(A) = ? <br> Explain how you got the answer as well.
Leto [7]

Answer:

0.5

Step-by-step explanation:

we see that A is 1 of 2 choices, so theoretically, P(A) = 1/2 = 0.5

5 0
3 years ago
What is the coefficient of the term of degree 5 in the polynomial below? 3x6 + 5 - x2 + 4x5 - 9x A. 5 B. 4 C. 3 D. 6
liq [111]
4x^5 is a term of degree 5, and its coefficient is 4
6 0
3 years ago
Read 2 more answers
What is the value of x in the equation
MrRissso [65]

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 1.4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

0.7x - 1.4  = -3.5

→ First multiply everything by 10 to make everything into a whole number

7x - 14 = -35

→ Plus 14 to both sides to isolate 7x

7x = -21

→ Divide both sides by 7 to isolate 7

x = -3

8 0
3 years ago
1. Solve -35 = -5x ........................
Valentin [98]

Answer:

x = 7.

Step-by-step explanation:

-5x = -35

x = -35 / -5 = 7.

3 0
3 years ago
Read 2 more answers
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