Step-by-step explanation:
Given : A triangle with side lengths 
To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?
Solution :
For right triangle the Pythagorean theorem is to be satisfied.
i.e. 
Here,
Substitute the values,
LHS=RHS
It is a right triangle.
We need to look at factors of 2, which are only 2 and 1... How do we get them to add to -3? Well, they have to be negative.
-2 + -1 = -3
What about the multiplication? A negative × a negative = a positive, so
-2 × -1 = 2
So your answer is
-2 and -1
The pictures confused me, can you explain them please?
Answer:
<h2>V = 605 in³</h2>
Step-by-step explanation:
The formula of a volume of a pyramid:
B - area of a base
H - height
We have the square in the base with side length a = 11 in.
Area of a base:
Calculate the volume:
1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
