Answer:
(0,-6)
Step-by-step explanation:
recall that the y-intercept is simply the point where the line crosses the y-axis at x = 0.
to find the y intercept, we simply substitute x=0 into the equation and solve for y
12x - 10y = 60, when x = 0,
12(0) - 10y = 60
-10y = 60
y = 60 / (-10)
y = -6
hence the coordinate of the y - intercept is (0,-6)
Answer: see table below
<u>Step-by-step explanation:</u>

The value of x in the figure is 9.72
<h3>How to determine the value of x?</h3>
The given shape is a triangle, and the value of x can be calculated using the following laws of cosine
a^2 = b^2 + c^2 - 2bc * cos(a)
So, the equation becomes
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * cos(44)
Evaluate the value of cos(44)
x^2 = 14^2 + 10^2 - 2 * 14 * 10 * 0.7193
Evaluate the product
x^2 = 296 - 201.404
Evaluate the difference
x^2 = 94.596
Evaluate the exponent
x = 9.72
Hence, the value of x in the figure is 9.72
Read more about laws of cosine at
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Answer:
1 hotdog is $3.5.
1 drink is $2.
Step-by-step explanation:
18.50= 3x+4y(times 5)
25.50=5x+4y(times -3)
92.5=15x+20x
-76.5=-15x+-12y
16=-8y
2=y
18.50=3x+4(2)
10.50=3x+8
10.50=3x
3.5=x
Answer:
The points for the given to linear equations is (5 , - 2) and (5 , - 1)
The points is plotted on the graph shown .
Step-by-step explanation:
Given as :
The two linear equation are
y =
x - 1 ...........1
y =
x - 6 ...........2
Now, Solving both the linear equations
Put the value of y from eq 2 into eq 1
I.e
x - 6 =
x - 1
Or,
x +
x = 6 - 1
Or,
x = 5
or,
x = 5
∴ x = 5
Now, Put the value of x in eq 1
So, y =
x - 1
Or, y =
× 5 - 1
or, y =
- 1
Or, y = - 1 - 1
I.e y = -2
So, For x = 5 , y = - 2
Point is (
,
) = (5 , - 2)
Again , put the value of x in eq 2
So, y =
x - 6
Or, y =
× 5 - 6
Or, y =
- 6
Or, y = 4 - 6
I.e y = - 2
So, For x = 5 , y = - 2
Point is (
,
) = (5 , - 2)
Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)
The points is plotted on the graph shown . Answer