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3 years ago

What is the slope of the line that contains these points?

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

8 0

Answer:

-2/5

Step-by-step explanation:

We can find the slope of a line by using

m = (y2-y1)/ (x2-x1)

= (6-4)/(41-46)

= 2/-5

= -2/5

Gala2k [10]3 years ago

4 0

Answer:

<em>m = -2/5 or -.4!</em>

Step-by-step explanation:

We can insert these values into the standard slope equation to find our slope!

$\frac{8-10}{36-31} =\frac{-2}{5}$

So our slope is negative two-fifths!

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What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

3 years ago

Read 2 more answers

Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change

frutty [35]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

$(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3$

3 0

2 years ago

I NEED HELP!! ASAP!! 3x + -7 = 42

Dmitrij [34]

Answer:

16 1/3

Step-by-step explanation:

add 7 to 42 to get 49, then divide by 3 to get 16 1/3. :)

7 0

3 years ago

Find the slope and y intercept of the graph of the graph of each equation.

AleksandrR [38]

Solve each equation for y and then the slope is m and y-intercept is b as in:
$y = mx+b$

So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1

Hope this helps.

7 0

3 years ago

Read 2 more answers

PLEASE HELP I HAVE 20 MINS TO TURN THIS IN AND I HAVE 3 QUESTIONS LEFT:

dlinn [17]

The answer is 360 miles since he can drive 60 miles per hour so just multiply 60x6 and your answer is 360

3 0

2 years ago

Read 2 more answers