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3 years ago

Find the slope of the line between (-3,6)and (-5,9)

Mathematics

2 answers:

m_a_m_a [10]3 years ago

8 0

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

you have the points:

(-3,6) -> where $x_{1}=-3,y_{1}=6$

and

$(-5,9)$ -> where $x_{2}=-5,y_{2}=9$

and then we use the equation for the slope $m$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

substituting values:

$m=\frac{9-6}{-5-(-3)}=\frac{3}{-5+3}=\frac{3}{-2}=$

the slope between the points is -3/2

yanalaym [24]3 years ago

7 0

Your slope will be -3/2x

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what is the equation of the line, in point-slope form, that passes through the given point and has the given slope ? point (7,3)

Maru [420]

Answer:

y-3 = 4/7(x-7)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1)

We know the slope (4/7)

and a point (7,3)

Lets substitute into the equation

y-3 = 4/7(x-7)

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3 years ago

What does -43 plus 17 equal?

Feliz [49]

-43 plus 17 equals -26. Hope this helps.

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3 years ago

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45+ 46+47+ 48+ ... 113 + 114Gauss approach

Doss [256]

Answer:

$5565$

Step-by-step explanation:

$1+2+3+4...+113+114=\frac{114*115}{2} =6555$

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Thus, $45+46+47+48...+113+114=$ $6555-990=5565$

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3 years ago

Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb

jonny [76]

Answer: The answer is 400 blue marbles.

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So, number of red marbles is

$n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,$

and number of blue marbles is

$n_b=560-364=196.$

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

$n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.$

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

$65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.$

Thus, 400 blue marbles need to be added to the bag.

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3 years ago

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To rent a uhal truck for the day, it cost 20 dollars per day plus 1 dollar for every mile driven Write an algebraic expression t

valkas [14]

Answer:

The equation is R = 20d + m(1)

Where R is the rental amount in dollars, d is the number of days and m is the number of miles driven

R for 3 days and 1000 miles is $1,060

Step-by-step explanation:

To properly represent the algebraic expression, we need to assign some variables.

Now, let the rental amount be R, the number of miles driven be m and the number of days rented for is d

Thus, we can say that:

R = 20d+ m(1)

Where R is rental amount, m is the number of miles driven and d is the number of days for which the truck was driven.

Now we are asked to calculate rental amount for 3 days and 1000 miles.

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3 years ago