How to determine the acute angle between the line 2x+3y=6 and the y axis?

Answers

Answer 1

Answer: $2x+3y=6\n3y=-2x+6\ \ \ /:3\ny=-(2)/(3)x+2\n\nthe\ angle\ between\ the\ line\ and\ the\ x\ axis-\alpha\n\ntg\alpha=-(2)/(3)\approx-0.666...\to\alpha\approx124^o\n\nthe\ acute\ angle\ between\ the\ line\ and\ the\ y\ axis\ is\ 124^o-90^o=34^o$

Related Questions

Hi help me (2·4)²= this is other (6:2)²+
Hamid has gained weightHe now weighs 88kg, which is 10% higher than his normal weight. What is Hamid's normal weight?
The sum of all of the solutions for the equation (6x+k)(3x-11)=0 is 1. What is the value of k?
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm? Choose the correct answer. 6.2 + b = 14.5 9.3 + b = 14.5 12.4 + b = 14.5 18.6 + b = 14.5
Solve the formula for the indicated variable c=yt+y,for t (the solution is t=___)

If 3(y-1) = y -5. y = ____________.

Answers

Answer:

-1 is the answer

Step-by-step explanation:

the question is 3(y-1)=y-5

so, we open the bracets and multiply

so it becomes 3y-3 = y-5

now, we transpose

3y-y =-5+3

2y = -2

y= -2/2 = -1

Answer:

y = -1

Step-by-step explanation:

$3(y-1)=y-5\n\n3y-3=y-5\n\n3y-3+3=y-5+3\n\n3y=y-2\n\n3y-y=y-y-2\n\n2y=-2\n\n(2y=-2)/(2)\n\n\boxed{y=-1}$

Hope this helps.

You have a limit of $300 that you can spend for a rental car on your vacation this summer. You have found a deal where you can rent a car for a daily rate of $30 plus a fee of $0.20 per mile driven. If you want to be able to keep the car for four days, how many miles can you drive?

Answers

From the problem
you can get the equation
4(30+0.20x) < 300

the 4 represents that it is within 4 days, the 30 is the daily fee, the 0.20 is the rate of per mile driven per day, and the 300 is how much money you have left to spend.

now we solve for x, first distribute the 4 into the parenthesis
120 + 0.80x < 300 then subtract 120 from both sides
-120 -120
and get 0.80x < 180 then divide both sides by 0.80
/0.80 /0.80
therefore x = 225
so you can drive 225 miles.

9x ≥117 which numbers below belong to the solution set of the inequality

Answers

The solution set of the inequality 9x ≥ 117 is [9, ∞).

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 9x ≥117.

Dividing both sides by 9 we have,

(9/9)x ≥ 117/9.

x ≥ 13.

Therefore, The solution set of the inequality is [9, ∞).

learn more about inequalities here :

brainly.com/question/28823603

#SPJ1

Step-by-step explanation:

which number or numbers below belong to the solution set of the inequality check all that apply 9x>117

Solve and check 5/k? -6? = -3

Answers

remember you can do ANYTHING to an equaiton aslong as you do it to BOTH SIDES

5/k-6=-3
add 6 to both sides
5/k+6-6=-3+6
5/k+0=3
5/k=3
times k both sides
5k/k=3k
5(k/k)=3k
5=3k
divide both sides by 3
5/3=k

check

5/(5/3)-6=-3
15/5-6=-3
3-6=-3
-3=-3

true

k=5/3

5/k – 6 + 6 = 3 + 6
5/k = 3
5 /k • k = 3k
5/-3 = 3k / -3
5/3 = k

The answer is C) k = 5/3

Function or not function please help I will give brainlesss