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3 years ago

Find the slope of the line through each pair of points (15,8) and (-17,9)

Mathematics

1 answer:

PtichkaEL [24]3 years ago

3 0

Answer:

-1/32

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points, and simplify:

(y2 - y1) / (x2 - x1)

(9 - 8) / (-17 - 15)

1 / -32

= -1/32

So, the slope of the line is -1/32

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-(4+m)+2 answer pls and you don’t have to show work

Gnesinka [82]

The answer is -2-m- plz make brainliest

5 0

3 years ago

Josh and Anthony hace a lemonade stand. They charge $1 for 2 cups of lemonade. They sell 14 cups each afternoon. Is it reasonabl

irga5000 [103]

Answer:

$1 for 2 cups

14 cups / 2 cups = 7

Each afternoon they earn $7

3 afternoon: $7 x 3 = $21

Not reasonable...

Step-by-step explanation:

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4 years ago

Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0

SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

$\frac{50}{3}=16.667$

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

Points: (2,0,0);(0,5,0);(0,0,4)

$\pi :\frac{x}{2} +\frac{y}{5} +\frac{z}{4} =1$

It can also be expressed as:

$10x + 4y+5z=20$

We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

We will integrate the values of y between the y = 0 axis and the line formed when z = 0:

z=0 ⇒ 10x + 4y=2 ⇒ $y=\frac{20-10x}{4} =$

$0\leq y \leq 5-\frac{5}{2}x$

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ $z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y$

$0\leq z \leq 4-2x-\frac{4}{5}y$

The volume of the tetrahedron is:

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \ \ \ \int\limits^{4-2x-\frac{4}{5}y }_{0} {z} \, dz\, dy \,dx$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx$

$\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} {\frac{5}{25}(5x+2(y-5))^2}\, dy \,dx$

$\int\limits^{2}_{0} {-\frac{25}{6}(x-2)^3} dx=-\frac{25}{24} (x-2)^4|^{2}_{0}=\frac{50}{3}$

6 0

4 years ago

Write an explicit formula for an arithmetic sequence whose common difference is -3, and first term is -9.

kirza4 [7]

Answer:

an = -9 -3(n -1)

Step-by-step explanation:

The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

Putting your numbers into the formula gives ....

an = -9 -3(n-1)

5 0

3 years ago

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What is the difference of the two polynomials?<br><br> (7y2 + 6xy) – (–2xy + 3)

Paraphin [41]

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4 years ago

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