Answer:
q = 1 and p = 3
Step-by-step explanation:
Since we are already given the value of x and y, then it will be easy to get what p and q is. What is needed to be done is just to insert the values of x and y in both equations
For equation 1
2x -py = 5
insert x = q and y = -1
2(q) -p(-1) = 5
2q + p = 5
for the second equation, we do same
4x + 5y + q = 0
insert x = q and y = -1
4(q) + 5(-1) + q = 0
4q -5 + q = 0
5q = 5
q = 5/5 = 1
Recall from above, 2q + p = 5
Insert q = 1, we have ;
2(1) + p = 5
2 + p = 5
p = 5-2
p = 3
Answer:
First you should remember that the formula for calculating area of a rectangle is;
Area=Length × width
You can decide to have a rectangle with different dimensions provided the area is 24 square unit
For this case, lets choose a rectangle with vertices at (1,0), (7,0),(1,4), (7,4)
After plotting these coordinates, you will notice your rectangle has a length of 6 units and a width of 4 units
A single unit is 1 square unit.When you Count the number of units inside the rectangle formed you realize you have 24 units covered inside
The area of the 24 units will be;
24×1 square unit= 24 square units
If we have the equation of a line: y=ax+b
How to find a if with only the x<span>-intercepts (called m)</span> and y-intercepts (called n)
+ First we have y=0 and x=m or 0=a*m+b or b= -a*m
+ Then we have x=0, y=n or n=a*0+b or b=n
And if m≠0 we have a= -n/m
and if m=0 this line has no slope
Answer:
Step-by-step explanation:
The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.
Horizontal leg is the distance x.
<u>Vertical leg has the length:</u>
<u>Using Pythagorean theorem to find the length of x:</u>
- x² = (250/2)² - 63²
- x² = 125² - 63²
- x² = 11656
- x = √11656
- x = 107.96 ≈ 108
