MATHEMATICS HIGH SCHOOL

He coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–3 6
3 4
Line 2
x y
–6 7
9 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answers

Answer 1
Answer: Line 1 slope: (4-6)/(3- -3)= -1/3. Y-intercept= 5
y= -1/3x + 5

Line 2 slope: (2-7)/(9- -6)= -1/3. Y-intercept= 5
y= -1/3x + 5

The lines are exactly the same, and there are infinitely many

Related Questions

Which of the following fractions is equivalent to 3/8?A.6/14 B.9/24 C.4/9 D.15/35
The area of triangle B is 25 times greater than the area of triangle A.The perimeter of triangle B is how many times greater than the perimeter of triangle A?
4x – 6x combining like terms
*extra points* solve
Given f(x)=6x+4 and g(x)=3x+7gthen what is f(g(1)) ?

Calculate the average velocity or a race car when an object travels on track and passes the 300m mark at 10 seconds and the 1100m mark at 24.5 seconds. rounded to the nearest whole number.

Answers

Answer:

55 m/s

Step-by-step explanation:

average velocity=(1100-300)/(24.5-10) =(800)/(14.5)=(1600)/(29) \approx 55 ~m/s

What is the probability that George will draw a green marble from a container that has 6 red, 4 blue, 3 yellow and 5 green?

Answers

Answer:

5/18

Step-by-step explanation:

i just took the test on usatestprep

Answer: 5/18 is the correct answer.

Step-by-step explanation: The top number of your fraction is the total amount of green marbles which is 5. The bottom number of your fraction is 18 which is the total of all the marbles added together. 6+4+3+5=18. Since the fraction can not simply, you have your answer of 5/18. The answer was also confirmed on the test I took. I hope this helps you! Thanks!

A circular track has a circumference of 1/4 mile. What is the radius?

Answers

The formula for circumference is C = 2 \pi r. We know the circumference and therefore we can plug that into the formula and solve for the radius.

(1)/(4) = 2 \pi r

Lets divide by 2 first.
(1)/(8)= \pi r

Next, lets divide by pi.
(1)/(8 \pi)= r
Thus the answer is (1)/(8 \pi) of a mile, which is approximately (1)/(25.13) of a mile.

Six times the sum of a number and twelve is forty. Which equation represents this?


6N + 12N = 40
6N + 12 = 40
6(N + 12) = 40

Answers

Depends if number twelve is multiplied by six as well. In other words, it depends if the text means:
six times the sum of (a number and twelve) or six times the sum of a number and than plus 12 equal 40.

In first case answer is:
6(N + 12) = 40 and in second
in second:
6N + 12 = 40
The last one
6(N+12)= 40

The cost of parts on your automobile repair bill was $149. The cost for labor was $25Per hour. Write a linear equation giving the total cost C, in terms of t, the number of
Hours. C(t)

Answers

Answer:

C=149+25t

Step-by-step explanation:

Since the total cost is C you would set it all equal to C.

Then the one time cost for parts was 149 so you have to add that in.

And $25 per hour would be multiplied by t because t is the number of hours.

What will multiply to 16 and add to 1?

Answers

37 is the right answer because 47 is not mutable and 27 is too short 
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