1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivolga24 [154]
3 years ago
14

The coordinates below represent two linear equations.

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0
The answer is d infinitely many
vovikov84 [41]3 years ago
7 0
First write the equations in the slope-intercept form:
y=mx+b \\ \\
m=\frac{y_2-y_1}{x_2-x_1}

Line 1 passes through the points (-6,-6) and (-4,-3).
m=\frac{-3-(-6)}{-4-(-6)}=\frac{-3+6}{-4+6}=\frac{3}{2} \\ \\
(-6,-6) \to x=-6, \ y=-6 \\
-6=\frac{3}{2} \times (-6) + b \\
-6=-9+b \\
b=3 \\ \\ y=\frac{3}{2}x+3

Line 2 passes through the points (0,3) and (2,6).
m=\frac{6-3}{2-0}=\frac{3}{2} \\ \\
(0,3) \to x=0, \ y=3 \\
3=\frac{3}{2} \times 0 + b \\
b=3 \\ \\
y=\frac{3}{2}x+3

These are two identical lines so the system of equations has infinitely many solutions. The answer is D.
You might be interested in
One x-intercept for a parabola is at the point (4,0). Find the other x-intercept for the parabola defined by this equation y=x^2
yanalaym [24]
Probably the easiest way to do this is to use synthetic division.  We already know one of the zeros of the quadratic so we can use that number to find the other zero.  If the point is (4, 0), then when y = 0, x = 4.  Thus, 4 is a zero.  Put 4 outside the "box" and put the coefficients from the quadratic inside, like this: 4   (1   -1   -12).  Draw a line and bring down the first one under it.  Multiply that 1 by the 4 to get 4.  Put that 4 up under the -1 and add to get 3.  Multiply 3 by 4 to get 12.  Put that 12 up under the -12 and add to get 0.  The numbers left under the line are the coefficients for the next polynomial, called the depressed polynomial, and this polyomial is one degree less than the one we started with.  Those coefficients are 1 and 3.  Therefore, the polynomial is x + 3 = 0.  That means that the other zero, or x-intercept, is x = -3.

6 0
4 years ago
There is a line whose slope is 1 and whose y-intercept is 2. What is its equation in
vagabundo [1.1K]
I think it is y = 1x+2
7 0
4 years ago
Angela drive 82 miles on Monday. She drove 94 miles on Tuesday. To the nearest hundred, how many miles did Angela drive over the
Gennadij [26K]

Answer:

88 miles

Step-by-step explanation:

From the question I'm Presuming you are taking the average.

Add the two numbers together 82 + 94 = 176

Do 176 divided by 2 to get 88

You do divide by 2 because of the two days

3 0
4 years ago
Solve the equation using the method that seems appropriate.
Lera25 [3.4K]
The answer is x=-5.5 . 2x-3 = 4x+8 . subtract 2x from both sides and then subtract 8 from both sides and get -11=2x . then divide both sides by 2 to get . -5.5=x
8 0
3 years ago
Can someone plz help me with this one problem!!!
Ymorist [56]
No i believe but I’m unsure
4 0
3 years ago
Read 2 more answers
Other questions:
  • Write the slope-intercept form of the equation of the line through the given the points. (0,3) and (-3,-3). Make sure your answe
    6·2 answers
  • In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows a
    8·1 answer
  • What is 11.510510510 as a fraction
    5·1 answer
  • Which right circular cylinder has the greater volume? A. The red cylinder. B. The blue cylinder. C. They have the same volume. D
    15·1 answer
  • The ratio of girls to boys in a chess club was 3:3. There were 24 boys. How many girls were there in the club?
    14·2 answers
  • Need help quick please
    5·1 answer
  • Solve for X. Go look at my other question
    14·1 answer
  • Please help anything is appreciated
    10·1 answer
  • 4.
    15·1 answer
  • Rewrite the equation of a circle given below in standard form x² + 2x + y² + 22y - 10 = 0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!