Answer:
A. y = 
- 1
Step-by-step explanation:
Given parameters:
Equation of the line:
5x + 2y = 12
Coordinates = -2, 4
Unknown:
The equation of the line parallel to this line = ?
- To solve this problem, first, we need to find the slope of the given line.
Every linear equation have the formula: y = mx + c
m is the slope of the line, c is the y- intercept
5x + 2y = 12
Express this equation as y = mx + c
2y = -5x + 12
y = 
+ 6
The slope of this line is 
- Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.
Slope of the line parallel is
- Our new line will also take the form y=mx + c,
Coordinates = -2, 4, x = -2 and y = 4
m is
Now let us solve for C, the y-intercept;
4 = - 2 x + C
4 = 5 + C
C = -1
The equation of the line is therefore;
y = - 1
they amount of money are not the same
reason why;
the reason why its not the same is because 2x8x9=144 and 3x9x12=324 and the amount of money spent is different
Answer:
Step-by-step explanation:
The <u>total area</u> of the circle is given by:
where 
is a constant 
and 
is the radius: 
Thus the total area of this circle is:
We want only the area of the arc that measures 50°. For this we must remember that the arc of the total circle is 360°.
Thus, we want 50° out of the 360° degrees in the circle. For this, we divide the total area by 360 and then we multiply by 50:
the area of the sector to the nearest tenth is
Well for the first one, that is presumably a straight line and straight lines all have 180 degrees. So you add 61 and 23 to get 84 and subtract that from 180. You then get 96 degree.
For the second one corresponding angles on a transversal are congruent so x+95=4x-10 and then you solve the equation.;
For the third one you need to make the change from 9 to 12 be the same as the change from 3 to t. 9 to 12 is 4/3 so 3 times 4/3 is 4. t=4
Answer for this problem is:
11x+2
