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3 years ago

A line contains points M(1,3) and N(5,0). what is the slope of MN

Mathematics

1 answer:

garri49 [273]3 years ago

8 0

-3/4 or it could also be -0.75

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Express 23/7 in decimal form

g100num [7]

Answer:

3.285714286

Step-by-step explanation:

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3 years ago

Who is closer to finishing the race, Nancy or Florence ?

Reil [10]

Florence is closer to finishing the race

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3 years ago

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$

$\frac{0 + 0}{2} = 0$

So our vertex is (0,0).

So our equation become

${y}^{2} = 4px$

The distance from the focus and directrix is 6.

So p=6.

${y}^{2} = 24x$

So p is 6.

Since p is 6,

$\frac{ {y}^{2} }{24} = x$

3 0

1 year ago

A petroleum laboratory technician can perform 56 tests on samples in 7 hours. At this rate, how many of the same

natima [27]

Answer:

Step-by-step explanation:

56/7 = 8

8*8 = 64

64 tests

7 0

3 years ago

Read 2 more answers

The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?

evablogger [386]

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

When x - 0; y = 0 and When x = 80; y = 60.

This gives

$m = \frac{0 - 60}{0 - 80}$

$m = \frac{- 60}{- 80}$

$m = \frac{3}{4}$

The formula is determine as follows;

$y - y_1 = m(x - x_1)$

When x - 0; y = 0; m = 3/4; This gives

$y - 0 = \frac{3}{4}(x - 0)$

$y = \frac{3}{4}(x - 0)$

Open Bracket

$y = \frac{3}{4}x - 0$

$y = \frac{3}{4}x$

The above is an example of a linear equation.

<em>Hence; option B answers the question</em>

8 0

3 years ago