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3 years ago

Find the equation of the line with the coordinates of (-5,-2) and (5,3)

Mathematics

1 answer:

velikii [3]3 years ago

6 0

Answer

x - 2y = -1.

Step-by-step explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x - 5/2 + 6/2

y = 1/2x + 1/2

Removing the fractions:

2y = x + 1

in standard form this is

x - 2y = -1

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2 over 3 plus 3 over 8

denis-greek [22]

Hello,

The answer to your question is....

2/3 + 3/8

= (2 × 8) + (3 × 3)

3 × 8

= 25/24 OR 1 1/24

Hope this helps!!!! Sorry I took so long :)

3 0

3 years ago

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collecte

allsm [11]

Answer:

The degrees of freedom are given by;

$df =n-1= 5-1=4$

The significance level is 0.1 so then the critical value would be given by:

$F_{cric}= 7.779$

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

$E_i = \frac{100}{5}= 20$

The statsitic would be given by:

$\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

$df =n-1= 5-1=4$

The significance level is 0.1 so then the critical value would be given by:

$F_{cric}= 7.779$

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

5 0

2 years ago

3(x-4) = x + 14<br> How do you solve this equation

Dmitry_Shevchenko [17]

Answer:

x=13

Step-by-step explanation:

you have to isolate the variable

3(x-4)=x+14

distribute

3x-12=x+14

subtract 14 from each side

3x-26=x

subtract 3x from each side

-26=-2x

divide each side by -2

13=x

flip sides

x=13

hope this helps!!! :)

4 0

2 years ago

Read 2 more answers

PLEASE HELP FAST!!!!!!

raketka [301]

The answer is 120 degrees

3 0

2 years ago

ASAP I NEED HELP

alexdok [17]

The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:

y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.

Substituting the given info into the equation y-k = a(x-h)^2, we get:

3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is

y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.

7 0

2 years ago

Find the equation of the line with the coordinates of (-5,-2) and (5,3)​

Find the equation of the line with the coordinates of (-5,-2) and (5,3)