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ki77a [65]
3 years ago
14

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Mathematics
1 answer:
Nataly [62]3 years ago
4 0

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

  y +1 = -3/8(x +5)

In slope-intercept form, this is ...

  y = -3/8x -23/8

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Find the geometric mean of the pair of numbers
Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

G.M. =\sqrt{ab}

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0
3 years ago
Choose Yes Or No To Tell if the fraction 4/9 will make each equation True.
BlackZzzverrR [31]

Answer:

true, true, false, true

Step-by-step explanation:

(4/9)*63=28

(4/9)*18=8

(4/9)*96=42.666667

(4/9)*36=16

5 0
3 years ago
Identify the property. ( x + y ) + z = x + ( y + z )
klemol [59]

Answer: Associative Property

Step-by-step explanation:

4 0
3 years ago
According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the populati
Ghella [55]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: number of daily text messages a high school girl sends.

This variable has a population standard deviation of 20 text messages.

A sample of 50 high school girls is taken.

The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:

X[bar]≈N(μ;δ²/n)

This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:

Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)

a.

P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836

b.

P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)

P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328

I hope you have a SUPER day!

3 0
3 years ago
Write the ratio for each:<br><br> Sin=?/? <br> Cos=?/?<br> tan=?/?
Sav [38]
Sin=opposite side/hypotenuse
cos=adjacent side/hypotenuse
tan=sin/cos or opposite/adjacent
4 0
3 years ago
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