Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
Answer:
x=9
Step-by-step explanation:
Answer:
Your answer will be 5
Step-by-step explanation:
If the area is two sides multiplied by each other and its a square then all the sides are the same so take 5*5 and you get 25
Answer:
x=26
Step-by-step explanation:
You have already set up an equation for us.
75+105=180
This is because a line is 180 degrees.
This said, we can set up an equation to find x.
4x+1=105
Isolate x by first subtracting 1 from both sides.
4x=104
Divide both sides by 4.
x=26
Answer:
Step-by-step explanation:
We group the number 5:
5(x² + 3x + 2.25)
Now inside the brackets we'll take the square root of the coefficient of the x and the square root of the last number, then remove the square from the x and write it as a sum:
5(x+1.5)²
What's the idea behind this?
Well, remember that when you have something in the form:
(a+b)²
It actually means:
a² + 2ab + b²
In our case a was x, and b was 2.25. For bringing it into the shorter form we have to take the square root of a and b.
Sorry if you don't understand. Tell me if you need help to get the xoncept better.