Given:
The line passing through (-2,5) and (2,p) has a gradient of .
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:
The line passing through (-2,5) and (2,p). So, the slope of the line is:
It is given that the gradient or slope of the line is .
On cross multiplication, we get
Divide both sides by 2.
Therefore, the value of p is 3.
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
ANSWER:
-10+2x+20+x+20
-10+20+20+2x+x
30 = 3x
10 = x
~batmans wife dun dun dun...
Answer:
x = 2
Step-by-step explanation:
- You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6
- Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10
- You then would calculate for x.
- Your end result should be x = 2, which is the point that the two equations intersect
This works because the two equations are set equal to each other, making them share a common value between them.
You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.
Hope this helped!
Answer:
You just need to find the length of LM and NM and then find the area of semi-circles using the formula πr²÷2