Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).

Answers

Answer 1

Answer:

y=-3x+6

Step-by-step explanation:

x-3y=5

y=1/3x-5/3

slope of perpendicular line is -3 (opposite reciprocals)

y=mx+b

x=0 and y=6

6=3x+b

6=3(0)+b

6=b

y=-3x+6


Related Questions

Solve the following:

4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2

Answers

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

Select all ordered pairs that correspond to input-output pairs of the function y = −7x + 6.

Answers

Answer:

There are no options, so i will answer in a general way.

In a function:

y = f(x)

The output is y, and the input is x, and the ordered pair is written as (x, y)

In this case, we have the function:

y = -7*x + 6

Then we need to have different inputs and then find the outputs for each.

For example, if x = 1.

y = -7*1 + 6 = -1

Then we have the ordered pair (1, - 1)

if x = 0

y = -7*0 + 6 = 6

then we have the ordered pair (0, 6)

The general ordered pair is written as:

(x, y =  -7*x + 6)

or:

(x,   -7*x + 6)

Where you only need to replace the value of x.

Juana baked 150 cookies for the bake sale and ate 10% of them. How many cookies did
Juana eat?

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{150x10}{100}[/tex]=[tex]\frac{1500}{100}[/tex]=15

Please help will give Brain to right person

Answers

okay so i’m 100% because i just started learning this but i think ASA

graph the equation...
0.5s+4a=15​

Answers

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

Theequationforlinefcanbewrittenasy = –3x − 6
. Line
gisparalleltolinefandpassesthrough
(6, –8) . What
istheequationofline
g ?


Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

f(x) = -3x-6

slope of line is -3

parallel lines have the same slope

point-slope equation for line of slope -3 that passes through (6,-8):

y+8 = -3(x-6)

put equation into slope-intercept form:

y = -3x + 10

Answer:

[tex]y = - 3x + 10[/tex]

Step-by-step explanation:

We are asked to find a line parallel to line f

[tex] - 3x - 6[/tex]

and passes through 6,-8.

Parallel lines have the same slope so our new line will also has-3 as it slope

wo using the slope intercept form let update our equation so far.

Slope intercept is

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept

plug in -3 for the slope since our new equation must be parallel.

[tex]y = - 3x + b[/tex]

Now plug 6 for x and -8 for y.

[tex] - 8 = - 3(6) + b[/tex]

[tex] - 8 = - 18 + b[/tex]

[tex]b = 10[/tex]

Our equation is

[tex]y = - 3x + 10[/tex]

Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

What is the surface area for this design?

Answers

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid =  b1 + b2 * h           5 + 9  *  5   = 27.5              

                                        2                        2                              

Back = Trapezoid =  b1 + b2 * h           5 + 9  *  5   = 27.5               27.5

                                        2                        2                                        27.5

Right = Rectangle = l * w                      6.4 * 5 =  32                           32

Left = Rectangle = l * w                           5 * 5 =  25                           25

Bottom = Rectangle = l * w                     9 * 5 =  45                           45

Top = Rectangle = l * w                          5 * 5 =  25                           25    

                                                                                                             157 in^2

peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answers

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg

How many solutions will this equation have? 2(x + 4) = 2x + 8

Answers

Answer:

None

Step-by-step explanation:

This type of equation is a tautology, it will always be true

We want to see how many solutions does the given equation has.

We will see that the equation has infinite solutions.

The given equation is:

2(x + 4) = 2x + 8

To find how many solutions it has, we need to solve it, we first can distribute the product at the left to get:

2(x + 4) = 2x + 8

2x + 2*4 = 2x + 8

2x + 8 = 2x + 8

Note that we have the exact same thing in both sides, so the value of x can be any real number, and the equation will still be true.

This means that there are infinite solutions for the given equation.

If you want to learn more, you can read:

https://brainly.com/question/16797952

Find the missing length of the triangle.
A = 3.4 cm
C = 1.6 cm
B = ?​

Answers

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

Is 3 step by step I think is that

Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.

Equation: y=

Answers

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

285 is the answer to be correct

PLz help I will give brainliest!!!!! and extra points

Answers

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

The parks department is planting trees. Maple trees cost $50 and Oak trees cost $25. The tree planting budget is $800. What is the x-intercept in this situation

Answers

Answer:

looooook ittttt uppppppps bwbebee

Step-by-step explanation:

bagsywbwbebne

e

e

e

e

e

e

e

ejdjdndndeebbebe

Answer: 50 or 25

Step-by-step explanation:

i apologize if i am wrong

Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.

Answers

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

What is Ac Brainliest

Answers

Answer:

Ac is hypotenuse as c=90

Answer:

6

Step-by-step explanation:

let us call dc x

root(16+x2) =ac

root(25+x2)=bc

using the pytogoren theroum for traingle ABC we get

41+2x2=9 squared

41+2x2=81

2x2=40

x2=20

x=2 root 5

so then plugging the values in

you know ac=root(16+x2)

=root(36)

=6

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Select all that apply.

Which of the following are proportions?

Answers

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0​

Answers

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

Finding which number supports the idea that the rational numbers are dense in the real numbers?

Answers

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

PLEASE HELP THIS IS DUE TODAY!!​

Answers

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Solve the system by substitution.
y =
-4x
y = x - 5

Answers

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

Find x, the angle of depression from the top of a lighthouse that is 199 ft above water level to the waterline of a ship 1104 ft off shore. Round your answer to the nearest tenth of a degree.

Answers

Answer:

10.2°

Step-by-step explanation:

I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.

The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.

The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.

You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.

6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B​

Answers

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Bryce and two of his friends went to eat at Texas Roadhouse. They split the bill evenly between them. Bryce share was $14.85. Write and solve an equation to find the total,t, of the bill .( please help asap and show all your work please)​

Answers

As there are three people in total, the number of total shares is 3.

                Let 1 share = x = $14.85

                               t = 3x

                          t = 3 (14.85)

                            = $44.55

Hope this helps!

5 divided by 6.25 please

Answers

Answer:

0.8

Step-by-step explanation:

5 ÷ 6.25 = 0.8

You can do this on a calculator.

Find the expression that represents the sum of 2i3+5i2-6i and 2i2-3i+8.

Answers

Dry-by-step explanation:

Kznyuszc kubysadnuailsdaieubvaeryulbvaulybeffn

Ioaer

HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.

Answers

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

We have 6 face red cards (JQK x 2) and 16 black cards, so a total of 22 cards.The red face cards and the black cards numbered 2-9 are put into a bag. Four cardsare drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black

Answers

Answer:

I dont know

Step-by-step explanation:

only doing it for points

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