Two intersecting lines have zero, an infinite number, two, or one of the same points in common?
Answers
If two lines intersect, then there are two possibilities
A) The lines intersect at exactly one point. This happens if the slopes of the two lines are different (the y intercepts may or may not be the same).
B) The lines intersect at infinitely many points. This happens when both slopes are the same and when both y intercepts are the same. In short, the two equations are identical. Often they may be written in different forms. For example, the equation y = 2x+1 and 2y = 4x+2 are the same equation. Divide everything in equation (2) by 2 and you'll get equation (1).
Related Questions
Solve the inequality and graph its solution: x - 7>-20A x>-13-1260612182430-30 -24 -18B. x>-13-60612182430-30 -24 -18 -12cx<-2760612182430-3024 -18 -12X<-27D.++ +--3026 -181-1260612182430
The length of a chalkboard is 5 feet.the width is 10 ft. mr Jones has 20 feet of string to place around it. Ms coley cuts off 3 feet of the decoration, will there be enough string to place around the chalkboard?
What's the equation of the line perpendicular to y=3x-2 and passes through the point (-9,5)? I'm having a brain freeze and can't remember how to do this... Thanks!
To get to your school, 2/5 of the students walk, 1/3 of the students ride the bus, and the rest come in cars. How many students come to school in cars?
Answers
x = r sin θ cos Ф
x² = r² sin² θ cos² Ф
y = r sin θ sin Ф
y² = r² sin² θ sin² Ф
z = r cos θ
z² = r² cos² θ
x² + y² + z²
= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ
= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ
= r² sin² θ + r² cos² θ
= r² (sin² θ + cos² θ)
= r² √
Answers
Answer:
The correct answer is C. All integers where n ≥ 1
Final answer:
The domain for n in the given arithmetic sequence is the set of positive integers.
Explanation:
The domain of the arithmetic sequence an = −4 + 4(n − 1) is the set of all possible values for n. In this case, since n represents the position in the sequence, it can only take on positive integer values starting from 1. Therefore, the domain for n is the set of all positive integers: {1, 2, 3, 4, ...}.
Learn more about Arithmetic Sequences here:
#SPJ3
Answers
Answer: $715
Step-by-step explanation:
Given : Principal amount (P)= $550
Interest rate (r)= 3%
Time period (t) =10 years
WE know that the formula of simple interest is
Now, the total amount in account after 10 years = Principal+ S.I.
Therefore, the total amount in account after 10 years =
Answers
Answer:
(5,-1)
Step-by-step explanation:
4x+3y=17
3x+2y=13
So elimination sounds fun but we will have to do manipulation:
Multiply top equation by 2 and bottom equation by 3. This will cause the second term in both by 6y which means we would be setup for elimination.
8x+6y=34
9x+6y=39
--------------------now subtract the equations
-x+0=-5
So x=5
Now plug it into either question (no matter which-pick and choose)
I will go with the second original 3x+2y=13
So if x=5 we have 15+2y=13
Subtract 15 on both sides: 2y=-2
Now divide both sides by 2: y=-1
Answer (5,-1)
_________A parallelogram has an area of 288 square centimeters and a height of 12 centimeters.
What is the length of the base of the parallelogram?
____cm
Answers
Answers
Answer:
60
Step-by-step explanation:
because half of children is 50. 120÷50=60