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pav-90 [236]
1 year ago
6

Find the slope of the line that contains the points (-8, -2) and (-17, 4).

Mathematics
2 answers:
amid [387]1 year ago
6 0

Answer:

<h2>-2/3 </h2>

Step-by-step explanation:

<h3>m=y2-y1/x2-x1
m=4-(-2)/-17-(-8)
m=4+2/-17+8
m=6/-9
m=-2/3 </h3>
IRINA_888 [86]1 year ago
6 0
<h2><u>S</u>O<u>L</u>V<u>I</u>N<u>G</u></h2>

\Large\maltese\underline{\textsf{A. \space What is Asked}}

Find the slope of the line that contains the points (-8,-2) and (-17,4)

\Large\maltese\underline{\textsf{B.\space This problem has been solved!}}

If we are given two points, we can easily find the slope of the line that passes through the points. With points (y₂, y₁) and (x₂, x₁), the slope is \bf{\dfrac{y2-y1}{x2-x1}.

Similarly, with points (-8,-2) and (-17,4) the slope is.

\bf{\dfrac{4-(-2)}{-17-(-8)}} | as we can see, it is possible to simplify this further

\bf{\dfrac{4+2}{-17+8}} | simplify

\bf{\dfrac{6}{-9} | reduce

\bf{-\dfrac{2}{3}}

\rule{300}{1.7}

\bf{Result:}

                    \bf{=-\dfrac{2}{3}}

\boxed{\bf{aesthetic\not101}}

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joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of
kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90.  Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n  + 2q = 76 as n + q = 38, or n = 38 - q.  Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

  570 - 15q + 35q = 890, or

   570 + 20 q = 890.  Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters.  Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0
2 years ago
Write the equation of the line that passes through the points (3,5) and (-1,1). Put
dangina [55]

Given:

A line passes through the two points (3,5) and (-1,1).

To find:

The equation of the line in fully reduced point-slope form.

Solution:

If a line passes through two points, then the point slope form of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is

y-5=\dfrac{1-5}{-1-3}(x-3)

y-5=\dfrac{-4}{-4}(x-3)

y-5=1(x-3)

Therefore, the  point slope form of the line in fully reduced form is y-5=1(x-3), here 1 is the slope of the line.

6 0
3 years ago
Help me this is the last question i just need to know what to use to solve the problem
Genrish500 [490]

Answer:

Not even one day

Step-by-step explanation:

I mean if it uses 4 bags a day  . . .

2/5's wont last long at all

8 0
2 years ago
Plz help me well mark brainliest if correct ...?????.
jasenka [17]

Answer:

Apples

Step-by-step explanation:

8 0
2 years ago
5, 3, 2, 6, 5, 2,5<br>mean:<br>median:<br>mode:<br>range:<br>​
saul85 [17]

Answer:

mean: 4

median: 5

mode: 5

range: 4

7 0
2 years ago
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