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9966 [12]
2 years ago
12

I need help on how to do this

Mathematics
1 answer:
Leni [432]2 years ago
5 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.

Any parallel line will do.

__

b) There is one solution when the graphs intersect in exactly one point.

Any line that crosses the one shown will do.

__

c) There are infinite solutions when the graphs describe the same curve.

A line overlapping the one shown is the one you want.

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A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
What is the value of y
kirill115 [55]

Answer:

y= 1/15.735. y is o.o64 character so one half is your answer

3 0
2 years ago
Read 2 more answers
If 3/4=x/2 then 7/4=
wariber [46]
I don’t know

I need to answer a question I'm new sorry
8 0
3 years ago
Helppp I need this turned in!!!
Marizza181 [45]

Answer:

Step-by-step explanation:

-10 ( y-4) + 3y = 5   <--- substitute the value of x into first equation

-10y + 40 + 3y = 5

-7y + 40 = 5

-7y = -35

y= 5

x = 5 - 4

x = 1

7 0
3 years ago
Read 2 more answers
I need help and I’m too lazy to type this out tell me you can’t see the picture
wlad13 [49]
It’s really hard to see the picture
5 0
3 years ago
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