Find the Slope of the blue line on the grid *

Given:

The equation of given line is

[tex]y=3x-4[/tex]

A line is perpendicular to the given line and passes through the point (9,5).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=3x-4[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=3[/tex]

It means, the slope of the given line is 3.

The product of slopes of two perpendicular lines is -1.

[tex]m\times m_1=-1[/tex]

[tex]3\times m_1=-1[/tex]

[tex]m_1=-\dfrac{1}{3}[/tex]

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope.

The slope of perpendicular line is [tex]-\dfrac{1}{3}[/tex] and it passes through the point (9,5). So the equation of the line is

[tex]y-5=-\dfrac{1}{3}(x-9)[/tex]

[tex]y-5=-\dfrac{1}{3}(x)-\dfrac{1}{3}(-9)[/tex]

[tex]y-5=-\dfrac{1}{3}x+3[/tex]

Adding 5 on both sides, we get

[tex]y-5+5=-\dfrac{1}{3}x+3+5[/tex]

[tex]y=-\dfrac{1}{3}x+8[/tex]

Therefore, the equation of required line is [tex]y=-\dfrac{1}{3}x+8[/tex].

Answer:

d

Step-by-step explanation:

Answer:

when x=2

-2×2+4y=16

4y=16+4

y=20/4=5

again

x=-8

-2×-8+4y=16

4y=16-16

y=0/4=0

Answer:

12

Step-by-step explanation:

Find the prime factorization of 24.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.

GCF = 12.

Answer:

Contents of this laser is 0.744 um and is a concise description of many of the in struments used in

Step-by-step explanation:

1.Introduction for the Royal College of Ophthalmologists and Ophthalmologists and I will #ثوره_طلابية غاضبة على قرار وزاره التعليم العالي باصدارها القرار المجحف وعليه يبداء من الان الاعتصام الطلاب #والاضراب_عن_الدوام لحين تحقيق المطالب.

تعليم الكتروني = امــتـحـان الكتروني

تعليم حضوري = امــتـحـان حضوري07725134341

Answer:

154°

Step-by-step explanation:

They are alternate angles.

Answer:

154 degrees

Step-by-step explanation:

I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.

Answer:

4/3πr³

Step-by-step explanation:

Hope this helps! If it doesn't just ask me what you need clarified in the comments.

Answer:

80

Step-by-step explanation:

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Answer:

18c

= 18(36)

=648

Hope this helps you

Answer:

Part H

How many holes need to be drilled for 36 parts? Show your work.

Step-by-step explanation:

18c

= 18(36)

= 648

Answer:

sqrt (48x^5) if x>0

. implies multiplication

48 = 2. 2.2.2.3= 2^4 .3

sqrt [2^4 .3 (x^5) ] if x>0

sqrt [2^4 ] sqrt [3 ]  sqrt [(x^5) ] if x>0

sqrt [16 ] sqrt [3 ]  sqrt [(x^5) ] if x>0

4. sqrt [3 ]  sqrt [(x^5) ] if x>0

We know, sqrt [(x^5) ] if x>0  =  x^2. sqrt [(x) ]

4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0

4x^2 sqrt[3x] (answer c)

Step-by-step explanation:

Answer:

30 seconds

Step-by-step explanation:

10x10=100 3x10=30

Answer:

d) 80

Step-by-step explanation:

(35% = 0.35)

equation:

⇒ [tex]0.35x = 28[/tex]

divide 0.35 on both sides

⇒ [tex]\frac{0.35x}{0.35} = \frac{28}{0.35}[/tex]

solve:

⇒ x = 80

The total number of points will be 80. The correct option is D.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Assume a basketball player scores 28 points per game. She accounts for 35% of the team's total points.

Calculate the number of the points below,

35% of x = 28 points

x = ( 28 x 100 ) / 35

x = 80 points

Therefore, the number of points will be 80. Option D will be the right answer.

To know more about an expression follow

https://brainly.com/question/28986384

#SPJ2

Answer:

Remember, the mean is calculated by adding the scores together and then dividing by the number of scores you added. In this case, the mean would be 2 + 4 (add the two middle numbers), which equals 6. Then, you take 6 and divide it by 2 (the total number of scores you added together), which equals 3.

Step-by-step explanation:

Hope I helped.It's just a reminder of helpful things for means!

Answer:

59

Step-by-step explanation:

Suppose a, b, c, d, e and f represent the 6 numbers.  

Then, [tex]\frac{a + b + c + d + e + f}{6} = 14\\[/tex]

(1)         a + b + c + d + e + f = 84

Let's remove f

then [tex]\frac{a + b + c + d + e}{5} = 5[/tex]

(2)        a + b + c + d +e = 25

Substitute 25 in for  a + b + c + d +e in equation (1)

We have 25 + f = 84

                       f  = 59

Answer: 1=95 2=85 3=95 4=85 5=36 6=49

Step-by-step explanation:

Answer:

Least : Orange, red, yellow, purple, green : Greatest

O = 7.2

R= 7.5

Y= 7.875

P= 8.25

G= 8.33

Step-by-step explanation:

either convert them all to fractions, or convert them all to decimals

IM VERY SORRY if its wrong tho :(

Answer:

It would take Beth twelve minutes to wash the car herself

Step-by-step explanation:

If they do it together in 6 minutes.

& Katy can do it in 18 minutes alone

Then 18 - x = 6

replace x for twelve

18 - twelve = 6

Ans: twelve

☁️ Answer ☁️

annyeonghaseyo!

I Got:

√5/2

Here's the Decimal Form:

1.11803398

Hope it helps.

Have a nice day noona/hyung!~ ￣▽￣❤️

Answer: its y=x/3

So x/3 is the slope and means the same as 1/3 x

the 1/3 shows we go up one and over 3 because slope is y/x

Hope this helps

Answer:

1. yes

2. no

3. yes

4. no

Step-by-step explanation:

Answer:

A. V=-640

Y=0

B. V represents the views 2 days before Jada saw the video.

Step-by-step explanation:

Answer:

2.0 km

Step-by-step explanation:

From the diagram attached,

cosθ = adjacent/Hypotenus

cos4° = x/2

make x the subject of the equation

x = 2cos4°

x = 2(0.998)

x = 1.995

x = 2.0 km. (to the nearest tenth)

Hence the horizontal distance is 2.0 km

Answer:

6/5

Step-by-step explanation:

I just used a calculator.

Answer:

96/125

Step-by-step explanation:

Answer:

148.12m²

Step-by-step explanation:

At first, lets find the area of rectangle.

length = 14m

breadth = 6m

Area of rectangle = length x breadth

= 14 x 6

= 84m²

Now, For the area of sector of the circle,

Given angle (a) = 34

radius = 14m

Area of the sector = a / 360 x pi x r²

= 34/360 x 3.14 x 14²

= 34 / 360 x 3.14 x 196

= 58.12m²

Now adding both areas,

84 + 58.12 = 142.12m²

Segment of a circle is the part of the circle. The total area of the composite figure is 142.1544 m².

The area of the segment of the circle is given by the formula,

[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]

As it is given that the composite figure is made up of a circular segment and a rectangle, therefore, we will find the area of the rectangle and the area of the circular segment individually.

Area of the rectangle

The area of the rectangle is the product of its length and breadth, therefore, the area is,

[tex]\rm \text{Area of the rectangle} = Length \times breadth[/tex]

                                [tex]= 14 \times 6\\\\=84\rm\ m^2[/tex]                

Area of the sector of the circle

[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]

                                   [tex]= \pi \times 14^2 \times \dfrac{34}{360}\\\\=58.1544\rm\ m^2[/tex]

The total area of the composite figure

The total area of the composite figure

= Area of rectangle + Area of the segment of the circle

= 84 + 58.1544 m²

= 142.1544 m²

Hence, the total area of the composite figure is 142.1544 m².

Learn more about Segment of Circle:

https://brainly.com/question/1697991

The answer is A.33.33%.

Answer:

10 units

Step-by-step explanation:

You can create point c at (3,4) to make a right triangle

Then you know that the 2 legs are 6 and 8

We need to find the hypotenuse

You can use pythagorean theorem:

6^2+8^2=c^2

So c=10

So the distance is 10 units

:)