Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the


positive x axis.

Answers

Answer 1

Answer: x= -2/3y+5/3

Step-by-step explanation:

Let's solve for x.

3x+2y−5=0

Step 1: Add -2y to both sides.

3x+2y−5+−2y=0+−2y

3x−5=−2y

Step 2: Add 5 to both sides.

3x−5+5=−2y+5

3x=−2y+5

Step 3: Divide both sides by 3.

3x/3=-2y+5/3

x= -2/3y+5/3


Related Questions

Is 4x-10y=2 equal to 4x-3y=0?

Answers

Answer:

No it is not

Step-by-step explanation:

Amy , bill and Claire share an amount of money in the ratio 5:7:8

Answers

Answer:

7/20

Step-by-step explanation:

add the number up which is 20 and the purpose of bill is the middle of 7 is middle in the ratio

17 is a prime number. What can you conclude from this?

Answers

Answer:

17 can't be divided into 2 and it's a odd number.

Answer:

17 is a prime number because it is only divisible by 1 and 17 ..

What is the are a square with a side length of 3x + 4.

Answers

(3x + 14) (3x + 14) = 9x^2 + 24x + 16

Brooke scored 21 points during the season she scored 9 points more than emily write an equation that can be used to find the amount of points emily scored

Answers

21-9=x subtract the amount of points Brooke is up by to get Emily’s score

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?

Answers

Answer:

When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure. Therefore the correct option is B.

Find the limit:
lim e−9x sin x
x→0

Answers

Answer:

[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]

General Formulas and Concepts:

Pre-Calculus

Unit Circle

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x[/tex]

Step 2: Evaluate

Limit Rule [Variable Direct Substitution]:                                                     [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = e^\big{-9(0)} \sin(0)[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)  

Unit: Limits

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
At
12 ft
18 ft

Answers

Answer:

36 ft

Step-by-step explanation:

Rapunzel sees a flying saucer. The radius of the flying saucer is 18 feet. What is the area of the flying saucer using 3.14 rounded to the nearest tenth

Answers

Answer:

[tex]1017.4ft^{2}[/tex]

Step-by-step explanation:

Area of a circle = [tex]\pi r^{2}[/tex]

However, the question wants to use 3.14 instead of [tex]\pi[/tex].

Since the radius is given, which is 18 feet, we can plug and chug.

[tex]A = 3.14*(18ft)^{2} \\A = 3.14*324ft^{2}\\A = 1017.36ft^{2}[/tex]

However, the question wants us to round it to the nearest tenth.

Therefore, the answer is [tex]1017.4ft^{2}[/tex]

A family wants to rent a car to go on vacation. Company A charges ​$75.50 and 12¢ per mile. Company B charges ​$45.50 and 11¢ per mile. How much more does Company A charge for x miles than Company B​?

Answers

Answer:

30-.01x

Step-by-step explanation:

(75.50-45.50)-(.12x-.11x)=

30-.01x

In AHIJ, the measure of ZJ=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
I
65
31
J
H

Answers

Answer:

14

Step-by-step explanation:

Dz

Answer:

H=28.4846≈28.5  

Step-by-step explanation:

SOH-CAH-TOA

sinH= opposite/hypotenuse=31/65

sinH=31/65

H=28.4846≈28.5      Type into calculator and round to the nearest tenth of a degree.

28.5

A baseball can travel 60 meters in 4 seconds. How fast is its average speed?

Answers

Answer:

v = 15m/s

Step-by-step explanation:

60 = v * 4

==> v = 15m/s

How many terms are in the expression
3x + 2y + Z
4
2
3
5

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Terms are chunks of number separated by signs, so basically how many numbers are separated by sign? The answer is 3

1. 3x

2. 2y

3. Z

Having trouble with functions again can someone help plz

Answers

Step-by-step explanation:

it's the The Definition of Differentiation

f(x)= 2x+3

= 2 after the Differentiation

using the definition of Differentiation

[tex] \frac{2(x + h) + 3 - (2x + 3)}{h} = \\ \frac{2x + 2h + 3 - 2x - 3}{h} \\ = \frac{2h}{h} = 2[/tex]

Find the remainder when the polynomial x3+x2-2x+1 is divided by(x+1)

Answers

Answer:

Remainder = 3

Step-by-step explanation:

Given

[tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]D =x + 1[/tex]

Required

Determine the remainder

[tex]D =x + 1[/tex]

Equate to 0

[tex]x + 1 = 0[/tex]

[tex]x = -1[/tex]

Substitute -1 for x in [tex]P = x^3 + x^2 - 2x + 1[/tex]

[tex]P = (-1)^3 + (-1)^2 - 2(-1) + 1[/tex]

[tex]P = -1 + 1 + 2 + 1[/tex]

[tex]P = 3[/tex]

Hence, the remainder is 3

Can anyone help with 11-15?

Answers

11. 1/3

12. 2/6

13. 1/4

14. 1/5

15. 1/3

Answer:

11. 1/3

12. 2/5

13. 1/4

14. 1/5

15. 1/3

Step-by-step explanation:

Divide by GCF

Measure these angles.

a)
b)
Please help​

Answers

Answer:

bro haw can we measure it from mobile

8. Four Men working together can finish a house repair job in 12 days.
How many days will 6 men working at the same rate finish the same ja
9 Which of the​

Answers

Step-by-step explanation:

if 4 men did the job in 12 days , then each of the 4 men worked for 12 days , which means they worked for 4*12=48 days , so the job takes 48 work days to complete. If all men work at the same rate, then these other 6 will complete the job in

[tex] \frac{48}{6} = 8 \frac{days}{man} [/tex]

Therefore, it’ll take the group of 6 men 8 days to complete the job.

6 3/8 - 1 5/8 =
What is the answere?
I'll give brainest if right

Answers

19 over 4 is your answer unless you want me to simplify it for u

Simplify the expression, 3.5(1.6 + 4.6 - 8.5) - 9.75

Answers

Step-by-step explanation:

[tex]3.5(1.6 + 4.6 - 8.5) - 9.75[/tex]

[tex]5.6 + 16.1 - 29.75 - 9.75[/tex]

[tex]21.7 - 39.5[/tex]

[tex] - 17.8[/tex]

Can anyone help me with problems 18-22?

Answers

Answer:

18.2/3

19.m^2/3

20.1/c

21.3x/2

22.2r/3

Step-by-step explanation:

just find the value of x

Answers

Answer:

55°

Step-by-step explanation:

ege bölgesinin doğusu batısından daha yüksektir doğrumu yanlışmı​

Answers

Answer:

doğru

Step-by-step explanation:

Ewan ko basta yan yung sagot

Find the area of the following figure:


Please answer I’ll give Brainly

Answers

Answer:

138 square centimeters

Step-by-step explanation:

You can find the area by splitting up the shape into pieces and adding it all together, and you get 138 square centimeters.

What is the equation for g(x) =

I need help ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

g(x) = math is a buncha bull :)

Step-by-step explanation:

The number 2016 is divisible both by 32 and by 36. What is the
next greatest number that is divisible by both 32 and 36?

Answers

The next number is 2016+LCM[32, 36]=2016+288=2304

Martin finds a shirt on sale for 20 %off at a department store. The original price was 10$ Martin must also pay 8.5% sales tax. How much is the shirt before taxes are applied? How much is the shirt after tax is applied?

Answers

Answer:

Step-by-step explanation:

Sale price = 80% of $10 = 0.80×$10 = $8

price + tax = 1.085×$8 = $8.68

Answer:

$8.00

Step-by-step explanation:

i did the math

A self-serve car wash charges $5.81 to use its facilities, plus an additional $0.51 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 5 minutes, how much was she charged?

Answers

$31.06
$5.81 + the 51 cents equals to $6.32. $6.32 times 5 equals $31.06. Hope this helps!:)

Answer:

Tiffany was charged $8.36

Step-by-step explanation:

From the question, we can create the following equation where "c" is the amount of money she was charged, and "m" is the number of minutes Tiffany is in the car wash...

c = 0.51m + 5.81

Since in our case "m" equals 5, then...

c = 0.51m + 5.81

c = 0.51(5) + 5.81

c = 2.55 + 5.81

c = 8.36

Therefore Tiffany was charged $8.36

The table below shows some prices at a produce stand. Produce Price per Pound Onions $0.75 Yellow Squash $1.99 Spinach $4.00 Potatoes $0.50 Selena has $11. What is the greatest amount of spinach she can buy? The greatest amount of spinach that Selena can buy is pounds.

Answers

Answer:

Step-by-step explanation:

The greatest amount of spinach that Selena can buy is 2 lbs

11/4=2.75

she can buy 2.75 lbs

Factor by grouping 5·(a+3)^2-(a+3)

Answers

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Hope this helps

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