3) Determine the equation of the line given by the graph.
A) y = 3x - 1
B) y=x-1
Oyo-x-1
D)y=-x-1

Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:

2y=2 - 10x

y= (-10x +2)÷ 2

y= -10/2x +2/2

y= -5x +1

The line has a slope of  -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:

-5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-5)

slope perpendicular line= 1/5

The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:

Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.

Learn more about perpendicular line:

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#SPJ1

Here is ur answer

- BRAINLIEST answerer

5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points

Step-by-step explanation:

hi

Answer:

5/6

Step-by-step explanation:

1/2=3/6

1/3=2/6

2/6+3/6=5/6

Answer:

They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!

Have a great day!

Brainliest please :)

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

Answer:

1 -66

2. 162

3.11/-2

4. 8/-11

5.12/0

6. 0

7. 15/14

8. 2/-5

Step-by-step explanation:

y=3x+6.

y=3x-5

I did it with a parallel line

Answer:

143880000 people have dogs and b.

Step-by-step explanation:

327,000,000 * .44(44 percent) = 143880000

the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.

Answer:

Step-by-step explanation:

3)

327 Million → 100%

x → 44%

100x = 44×327

100x = 14388

x = 14388/100

x = 143.88 Million people

4) D

I hope I've helped you.

Answer:

eat it can only eat the things around it

Step-by-step explanation:

a cow with no legs has a hard life due to their lack of legs they cant walk or run meaning the cant get water and they can't run away from Predator's

Answer:

There would be 12

Step-by-step explanation:

Answer:

Yes, This is a repeating decimal

No, This is a decimal that neither terminates or repeats

No, This is a decimal that neither terminates or repeats

Yes, This is a terminating decimal

Answer: 15!

Step-by-step explanation:

You do 1/2 x (5=base) x (6= height)

Answer:

hope it helps you........

This should be right , if any doubt please comment

Answer:

In 2 hours

Step-by-step explanation:

10/3 8/2

10-6 = 4

6 from 3*2(aka the hours)

8-4 = 4 from 2*2(aka the hours)

you can also set this up like

10-3x=8-2x and solve for it

Answer: At the 2 hour mark.

Step-by-step explanation:

10-3=7. 7-3=4

8-2=6. 6-2=4

Answer:

x4 + x2 + 1 = 6x + 1

Answer:

Solution

Given,

x4+x2+1

Step-by-step explanation:

Adding and subtracting x2 to the given equation /

=x4+ x2+ 1+ x2- x2

=x4+2x2+1-x2

=(x2+1)2 -x2 {.:a2+2ab+b2=(a+b)2}

=(x2+1+x) (x2+1-x) { .:a2-b2=(a+b) (a-b) }

hope it helps

Ty good day

#urJ.r...~

Answer:

ΔOGD ≅ΔPRC

Step-by-step explanation:

SAS

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

Item 1:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

A similar problem is given at https://brainly.com/question/24507395

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

Answer:

IJM and NMJ

Step-by-step explanation:

They're on alternate sides and on the interior of the complex.

Answer:

<IJM and <NMJ

Step-by-step explanation:

Alternate interior angles are angles which are inside the parallel lines and on alternate sides of the third line.

In this case they correspond to <IJM and <NMJ

Answer:

x= 79°     y= 22°

Step-by-step explanation:

x is the same as 79

79+79= 158

180° in a triangle

180-158= 22°

Answer:

x=33.5

Step-by-step explanation:

Answer:

 B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

Answer:

A= 3 1/3

Step-by-step explanation:

Answer:

A. A translation 4 units to the left and 3 units down.

Step-by-step explanation:

Answer:

Inequality: 30+12x < 100

x ≈ 5 months

Step-by-step explanation:

To solve, first create the inequality. In this problem, 30 dollars is the flat fee for joining the gym and thus a constant. Additionally, 12 is the monthly payment and thus the coefficient for a variable because it changes with the number of months. Finally, 100 is the most that can be spent (the max), so it should be on the other side of the inequality and the sign should be less than or equal to 100.

This makes the inequality: 30+12x < 100

To find the number of months solve the inequality for x.

So, the inequality equals x<5.8. However, the question asks for the number of full months. And, no more than 100 dollars can be spent. So, while you would normally round up. In this case, you must round down to 5 months.

Step-by-step explanation:

work is shown and pictured