Pleaseeee help!!! I will mark you as brainlinest for correct answer!!!!!

Write the equation of the line in slope-intercept form that has the following points: (2, -1)(5, -3)

kirza4 [7]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x+\dfrac{1}{3}}$

Step-by-step explanation:

The skope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, -1) and (5, -3). Substitute:

$m=\dfrac{-3-(-1)}{5-2}=\dfrac{-3+1}{3}=\dfrac{-2}{3}=-\dfrac{2}{3}$

We have the equation:

$y=-\dfrac{2}{3}x+b$

Put the coordinates of the point (2 , -1) to the equation:

$-1=-\dfrac{2}{3}(2)+b$

$-1=-\dfrac{4}{3}+b$ <em>add 4/3 to both sides</em>

$\dfrac{1}{3}=b\to b=\dfrac{1}{3}$

Finally we have:

$y=-\dfrac{2}{3}x+\dfrac{1}{3}$

6 0

4 years ago

The polygon below represents a regular octagon.

gayaneshka [121]

Answer:

a). x = 135°

b). y = 45°

c). z = 67.5°

Step-by-step explanation:

Since sum of interior angles of a regular polygon is represented by,

Sum of interior angles = (n - 2) × 180°

Here n = number of sides

For a regular octagon, n = 8

Sum of interior angles = (8 - 2) × 180° = 1080°

And measure of one interior angles = $\frac{\text{Sum of interior angles}}{n}$

x = $\frac{1080}{8}$

x = 135°

From the figure attached,

Angle C has been divided in 6 equal parts,

Therefor, m∠ECD = $\frac{135}{6}$ = 22.5°

Since ∠ECD ≅ ∠CED,

m∠CED = 22.5°

Since m∠E = 135°

m∠FEC = 135 - 22.5 = 112.5°

In ΔFEC,

m∠FEC + m∠ECF + m∠CFE = 180°

112.5 + 22.5 + z = 180

z = 180 - 135

z = 45°

Similarly, in ΔCGF,

m∠CGF + m∠CFG + m∠GCF = 180°

(135 - y)° + (135 - z)° + 22.5° = 180°

270 - (y + z) + 22.5 = 180

292.5 - (y + 45) = 180

247.5 - y = 180

y = 247.5 - 180

y = 67.5°

3 0

3 years ago

You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. Whe

Snowcat [4.5K]

You have to watch 30 movies to earn a free movie pass.

Step-by-step explanation:

Given,

Points earned for each movie = 2 points

Current points = 40 points

Free movie pass = 100 points

Let,

x be the number of movies you have to watch.

2*number of movies + current points = 100

$2x+40=100$

Subtracting 40 from both sides

$2x+40-40=100-40\\2x=60$

Dividing both sides by 2

$\frac{2x}{2}=\frac{60}{2}\\x=30$

You have to watch 30 movies to earn a free movie pass.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

5 0

3 years ago

The longest side of an isosceles triangle is 11 cm less than twice as long as the other sides. The perimeter of the triangle is

lana66690 [7]

Answer:

15 cm, 15 cm, and 19 cm

Step-by-step explanation:

Isosceles Triangle is a type of triangle in which two of the three sides are equal in length. The perimeter is 49 cm. Therefore, in this question, since the sides are unknown, we can assume that:

Length of the longer side = x cm.

Length of the other sides = y cm.

The relationship between x and y is given by:

x = (2y - 11) cm (because it is mentioned that the longest side is 11 cm less than twice as long as the other sides).

Perimeter of a triangle = sum of all sides.

Since its an isosceles triangle, therefore:

Perimeter of the triangle = x + 2y.

Substituting the values in the perimeter formula gives:

Perimeter of the triangle = 2y - 11 + 2y.

49 = 4y - 11.

4y = 60.

y = 15 cm.

Substituting y = 15 in the equation x = 2y - 11 gives x = 2(15) - 11 = 19 cm.

So in the ascending order, the lengths are 15 cm, 15 cm, and 19 cm!!!

5 0

3 years ago

What is the range of values of x for a triangle's third side given side measures of 8 and 15 for the other two sides?

mr_godi [17]

Answer: b

Step-by-step explanation:

it is right

3 0

3 years ago

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