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
SVETLANKA909090 [29]
2 years ago
11

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

Mathematics
1 answer:
AlexFokin [52]2 years ago
8 0
<span>find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
 



to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(-4,8)
(4,6)
(x,y)
x1=-4
y1=8
x2=4
y2=6
subsitute
(8-6)/(-4-4)=2/-8=-1/4
slope=-1/4
subsitute
y=-1/4x+b
subsitute one of the points
(4,6)
x=4
y=6
6=-1/4(4)+b
6=-1+b
add 1 to both sides
7=b
y=-1/4+7

now solve for the other equation


(-1,1)
(3,5)
x1=-1
y1=1
x2=3
y2=5
subsitute
(1-5)/(-1-3)=(-4)/(-4)=4/4=1
y=1x+b
subsitute
(-1,1)
x=-1
y=1
1=1(-1)+b
1=-1+b
add 1
2=b
y=x+2

we have the lines
y=-1/4x+7 and
y=x+2
solve for a common solution
y=x+2 and y=-1/4x+7 therefor
x+2=-1/4x+7
subtract 7 from both sides
x-5=-1/4x
mulitply both sides by -4
-4x+20=x
add 4x to both sides
20=5x
divide both sides by 5
4=x
subsitute
y=x+2
y=4+2
y=6
the soluiton is (4,6)
there is only one solution
the answer is B</span>
You might be interested in
In a lab, a substance was heated by 16°C over a period of 4 hours at a constant rate. What was the change in temperature each ho
Arada [10]

Answer:

4° C per hour

Step-by-step explanation:

16/4 will give us the temperature change every hour

5 0
3 years ago
Read 2 more answers
Please Help !!!
Aleonysh [2.5K]
X-12=-4
x=-4+12
x=8
The answer is A
3 0
3 years ago
Read 2 more answers
Can you guys help me find the value of x
Tanzania [10]

Answer: x= 54

Step-by-step explanation:mathhhhh

7 0
2 years ago
Is 0.26 is closer to 0, 1/2 or, 1
professor190 [17]
Here, we know 1/2 = 0.50
So, the difference between 0.50 & 0.26 is 0.24
And difference between 0 and 0.26 is 0.26
1 is very apart from 0.26 as compared to other two

So, It is closer to 1/2

Hope this helps!
8 0
3 years ago
Read 2 more answers
Classify each function as even, odd, or neither even nor odd.
drek231 [11]

The function

f(x) is even

g(x) is neither even nor odd

h(x) is odd

Steps:

for an even function it holds that f(-x) = f(x):

f(-x) = (-1)^6 x^6  - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even

for an odd h(x) it holds that h(-x) = -h(x):

h(-x) = (-1)^5x^5-(-1)^3x^3 = -(x^5-x^3) = -h(x) \implies h(x)\,\, \mbox{even}

It is easy to show that g(x) does not match any of the two possibilities above.


8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the difference between 24 1/8 minus 6 3/4
    12·2 answers
  • Sam opens a money-market account that pays 4% simple interest. He started with 7,000 and made no further deposits. He closed the
    5·1 answer
  • The Exotic Store has 36 birds. One-third of them are parrots and one-fourth are cockatoos. A) How many parrots? B) How many cock
    11·2 answers
  • Dr. Potter provides vaccinations against polio and measles.
    15·1 answer
  • Helppppppppppppppppppppppppp please :)
    13·1 answer
  • 4. Dominick sent the following number of text messages each day over the last week:
    5·1 answer
  • Eva tried to evaluate an expression step by step.
    13·1 answer
  • Will mark brainliest!!
    15·1 answer
  • The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.
    6·1 answer
  • 5x+3x-6=6x+12 what is the answer
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!