Question

Determine if the lines L1: 2x-2y+1=0 and L2:2x+2y+3=0 are parallel, perpendicular, coincident or secant and why.

202

likes
1012 views

Answer to a math question Determine if the lines L1: 2x-2y+1=0 and L2:2x+2y+3=0 are parallel, perpendicular, coincident or secant and why.

Expert avatar
Andrea
4.5
83 Answers
1. Write down the equations:
L1: 2x - 2y + 1 = 0
L2: 2x + 2y + 3 = 0

2. Calculate the slope for L1:
m_1 = -\frac{2}{-2} = 1

3. Calculate the slope for L2:
m_2 = -\frac{2}{2} = -1

4. Compare the slopes. Since m_1 and m_2 are negations:
L1\ and\ L2\ are\ perpendicular.

Frequently asked questions (FAQs)
What is the variance of the following data set: {5, 8, 11, 14, 17}?
+
Math question: "What are the x-intercepts of the quadratic function y = 2x^2 - 5x + 3 when graphed?"
+
What is the standard deviation of a set of numbers: 12, 16, 19, 22, 25?
+
New questions in Mathematics
Students Ana Beatriz and Paula decided to register on a website with exercises to study for upcoming simulations, but to register on this website, they need to choose a password consisting of five characters, three numbers and two letters (capital letters). or lowercase). Letters and numbers can be in any position. They know that the alphabet is made up of twenty-six letters and that an uppercase letter differs from a lowercase letter in a password. What is the total number of possible passwords for registering on this site?
5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15
Determine all solutions to the inequality |2x + 6| − |x + 1| < 6. Write your final answer in interval notation
A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
The beta of a company is 1,41 and its cost of equity 18,95%. What is then the market risk premium if the risk free rate is 0,94%? (in %, 2 decimal places)
is the x element (180,270), if tanx-3cotx=2, sinx ?
(5y 9)-(y 7)
5.- From the probabilities: 𝐏(𝐁) = 𝟑𝟎% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 ̅) = 𝟕𝟎% You are asked to calculate: 𝐏(𝐀 ∪ 𝐁)
Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.
Solve equations by equalization method X-8=-2y 2x+y=7
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0
A person runs 175 yards per minute write a variable that represents the relationship between time and distance
Find the vertex F(x)=x^2-10x
23,456 + 3,451
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)