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2 years ago

Write the equation of a line in point slope form that is PARALLEL 5x + 2y = 1 that passes through the point (- 2, - 3) .

Mathematics

1 answer:

aliya0001 [1]2 years ago

7 0

Answer:

y = -5/2x - 13

Step-by-step explanation:

First, we have to find the slope of the original equation

Subtract 5x from both sides

5x + 2y = 1

- 5x - 5x

2y = -5x + 1

Divide both sides by 2

2y/2 = (-5x + 1)/2

y = -5/2x + 1/2

The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation

y = -5/2x + b

Plug in the given x and y

-3 = -5/2(-2) + b

-3 = 10 + b

Subtract 10 from both sides

-3 = 10 + b

- 10 - 10

b = -13

This makes our equation: y = -5/2x - 13

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In an examination given to a class of 20 students, the following test scores were obtained.

nexus9112 [7]

Answer:

Mean = 75

Median = 80

Mode = 85

The mode

Step-by-step explanation:

Given the data :

45 45 50 50 55 60 70 75 75 80 80 85 85 85 85 90 95 95 95 100

Rearranged data :

45, 45, 50, 50, 55, 60, 70, 75, 75, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 100

The mean score :

ΣX / n ; n = sample size = 20

ΣX = 1500

Mean = 1500 / 20 = 75

Mode = most frequently occurring = 85 ( frequency of 4)

Median = 0.5(n + 1)th term

Median = 0.5(20 + 1)th term

Median = 0.5(21) th term

Median = 10.5th term = (10 + 11)th term / 2

Median = (80 + 80) / 2 = 160 / 2 = 80

2.) The mode

4 0

2 years ago

According to the diagram below, In which hemisphere is it NIGHT and SUMMER?

AfilCa [17]

2 and 3 because if I’m right the rotation should end up that way not 100% sure hope it helps tho

7 0

2 years ago

Read 2 more answers

Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x

Anuta_ua [19.1K]

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

<h3>How to Find the Area and Perimeter of a Triangle?</h3>

Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?

Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)

Area of the triangle = 6(x + 6)

Area of the triangle = 6x + 36

The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)

Perimeter= x - 7 + 2x + 5 + 12

Add like terms

Perimeter= x + 2x - 7 + 5 + 12

Perimeter= 3x + 10

Therefore, we have:

Area of the triangle = 6x + 36

Perimeter of the rectangle = 3x + 10

Learn more about the area and perimeter of a rectangle on:

brainly.com/question/24571594

#SPJ1

6 0

1 year ago

Solve for X in the given interval. sec x = -2sr3/3, for pi/2 less than or equal to x less than or equal to pi

notsponge [240]

Answer:

Step-by-step explanation:

Using the trig. identity

cos x = $\frac{1}{secx}$

Given

secx = - $\frac{2\sqrt{3} }{3}$ , then

cos x = - $\frac{3}{2\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = - $\frac{3\sqrt{3} }{6}$ = - $\frac{\sqrt{3} }{2}$ , thus

x = $cos^{-1}$ (- $\frac{\sqrt{3} }{2}$ ) = $\frac{5\pi }{6}$ → B

6 0

2 years ago

Select all values of x that make the inequality −x+6≥10 true.

hichkok12 [17]

This is because the 6 is dropping value due to the denomter of so there it is -3.9

7 0

3 years ago