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3 years ago

Find the slope of the line that goes through the given points. (-2, -3) and ( - 14,11)

Mathematics

1 answer:

belka [17]3 years ago

7 0

Answer:

-7/8

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

11-(-3)/-14-(-2)

14/-16

-7/8

Best of Luck!

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Subtract fractions with different denominators

Tems11 [23]

Answer:

$\frac{10}{15}-\frac{2}{5}=\frac{4}{15}$

Step-by-step explanation:

We know that

A fraction consists of two integers—one on the top, and one on the bottom.
The top one is numerator, the bottom one is denominator, and
These two numbers are separated by a line.

Let us consider two different fractions with different denominators

$\frac{10}{15}$

$\frac{2}{5}$

Lets subtract the two fractions

$\frac{10}{15}-\frac{2}{5}\:\:\:\:$

$\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}$

$=\frac{2}{3}-\frac{2}{5}$

$\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15$

$\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}$

$\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5$

$\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}$

$\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3$

$\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}$

$=\frac{10}{15}-\frac{6}{15}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{10-6}{15}$

$\mathrm{Subtract\:the\:numbers:}\:10-6=4$

$=\frac{4}{15}$

Therefore,

$\frac{10}{15}-\frac{2}{5}=\frac{4}{15}$

5 0

3 years ago

1/(x-2)+1/(x+3)=1/5 solve the problem for me

Gennadij [26K]

════════ ∘◦❁◦∘ ════════

<h3>Final value : x² -9x - 11</h3>

════════════════════

$\frac{1}{(x - 2)} + \frac{1}{(x + 3)} = \frac{1}{5}$

$\frac{(x + 3) + (x - 2)}{(x - 2)(x + 3)} = \frac{1}{5}$

$\frac{2x + 1}{ {x}^{2} + 3x - 2x - 6 } = \frac{1}{5}$

$\frac{2x + 1}{ {x}^{2} + x - 6} = \frac{1}{5}$

2x + 1 = ⅕ × (x² + x - 6)

2x + 1 = ⅕x² + ⅕x - 6/5

1/5x² +1/5x - 2x - 6/5 - 1 = 0

1/5x² -9/5x - 11/5 = 0

x² - 9x - 11 = 0. #times by 5

════════════════════

#Give me brainliest pls im tired typing all of this

8 0

3 years ago

What’s the mean of 3 32 36 30 33 36

Daniel [21]

Answer:

Mean = 28.33

Step-by-step explanation:

Comment

You need two inputs. The first is the sum of the numbers and the second is the number of entries in the data.

Givens

Sum = 3 + 32 + 36 + 30 + 33 + 36

Number of entries = 6

Solution

Sum = 170

Mean = sum / number of enteries

Mean = 170 / 6

Mean = 28.33

4 0

2 years ago

Ava volunteers at an animal shelter with 6 cats. She has 15 cat treats. She gives each cat the same number of treats, and she gi

Delvig [45]

Answer:

Ava gives each cat __2__ treats. __3___ treats are left.

Step-by-step explanation:

8 0

3 years ago

A variable needs to be eliminated to solve

lesya692 [45]

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

6 0

3 years ago