Answer:
Part A: one solution:
Part B: x = 3, y = 4.
1) Part A: how many solutions does the pair of equations for lines A and B have?
The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.
In this case, there are two straight lines, which intersect in one and only one point.
Hence, the system has one solution.
2) Part B: what is the solution to the equations of lines A and B?
The solution is the pair of coordinates of the intersection point. It is (3, 4).
Therefore, the solution is x = 3, y = 4.
Step-by-step explanation:
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Answer:
3.00
Step-by-step explanation:
let us look at triangle BAD first. Since it give us a complete information. using the formula
sin 0 = opposite / hypotenuse
sin 0 = 2.8/5.5
sin 0 =0.5091
transfer the sin to the other side
angle 0 = 30.6 ° (angle BAD)
it is given angle DAC = angle BAD
so angle DAC also =30.6°
since CD is an opposite than we use the previous formula back
sin 0 = opposite / hypotenuse
sin 30.6 = CD / 5.8
CD = 2.95 or 3.00
Answer:
11.5 days
Step-by-step explanation:
Answer with explanation:
The equation of any line with slope 'm' and passing through any point is given by
As we know that the general equation of a line with slope 'm' is
Comparing with the given equation we can conclude slope of the given line is
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines
Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular
Hence using the given and the obtained values the equation of the required line is
Part b)
The angle of intersection between 2 lines with slopes is given by
Comparing the equations of given lines
with the standard equation we get
Thus the angle of intersection becomes
P = 2w +2l
p = 2(11.1) + 2(12.5)
p = 22.2 +25
p= 47.2 meters
d. 47.2 meters