Eliminate x's by adding te 2 equations
add them
-2x+15y=24
<u>2x+9y=24 +</u>
0x+24y=48
24y=48
divide both sides by 24
y=2
sub back
2x+9y=24
2x+9(2)=24
2x+18=24
minus 18 both sides
2x=6
divide 2
x=3
x=3
y=2
(x,y)
(3,2)
Answer: 32 paving stones
Step-by-step explanation:
Hi, to answer this question, first we have to convert the measures of the paving stones into meters.
Since: 1m = 100 cm
50 cm /100 = 0.5m
Now, we have to calculate the area of each paving stone:
Area of a square: s^2 = 0.5^2 = 0.25m2
Next, the area of the path.
Area of a rectangle = width x length = 1 x 8 = 8 m2
Finally, we have to divide the area of the path by the area of each paving stone:
8/0.25 = 32 paving stones
Feel free to ask for more if needed or if you did not understand something.
Steps to solve:
0.3x = 15
~Divide 0.3 to both sides
0.3x/0.3 = 15/0.3
~Simplify
x = 50
This is a vertical line so the slope is undefined.
The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.
Best of Luck!
Answer:
a) slope intercept form: y = -5/14 x + 7/2
b) point slope form: y - 1 = 3/2(x - 4)
Step-by-step explanation:
a) Line A: (4,1) and (0, 7/2)
Slope = (1 - 7/2)/(4 - 0)
Slope = - 5/2 * 1/4
Slope = - 5/14
Equation in slope intercept form:
y = -5/14 x + 7/2
b)
(4,1) and (0, -5)
Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2
Equation in point slope form:
y - 1 = 3/2(x - 4)
