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2 years ago

Write the equation that represents the line that goes through the point (5, -7) and has slope m=-3

Mathematics

1 answer:

RUDIKE [14]2 years ago

4 0

Answer:

y = -3x + 8

Step-by-step explanation:

Given :-

Point on line = (5, -7)

Slope (m) = -3

To find :-

Equation of line

Solving :-

Using point-slope form of equation,

y - y₁ = m(x - x₁)

y + 7 = -3(x - 5)

y + 7 = -3x + 15

Solution :-

y = -3x + 8

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30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!

Sindrei [870]

Answer:

16.9 units

Step-by-step explanation:

Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...

14.87 + 2 = 16.87 ≈ 16.9 . . . units

_____

The distance formula can be used to find the lengths of individual segments. It tells you ...

d = √((Δx)² +(Δy)²)

where Δx and Δy are the differences between x- and y-coordinates of the segment end points.

If the segments are labeled A, B, C, D, E in order, the distances are ...

AB = √(5²+1²) = √26 ≈ 5.099

BC = √(1²+3²) = √10 ≈ 3.162

CD = Δx = 3

DE = √(3²+2²) = √13 ≈ 3.606

EA = Δy = 2

Then the perimeter is ...

P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867

P ≈ 16.9

8 0

4 years ago

Solve for x: 2 over 3 (x − 4) = 2x. 2 −2 −8 −4

KIM [24]

Distribute 2/3 to the parentheses on the left side, combine like terms. 1 1/3 x= -2 2/3. Final answer is -2

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3 years ago

Read 2 more answers

Ac=22 BC= x+41 and AB = x + 10 find x

Elenna [48]

Draw the figure out and you will find that AB + BC = AC. Given this, put the equations together to form x+41+x+10=22. Solve to get x=-29/2

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4 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

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3 years ago

ASAP can someone help me solve this problem

sveta [45]

Answer:

Step-by-step explanation:

x° + y° = 180°

2y° - 0.5x° = 180°

y° = 108°

x° = 72°

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3 years ago