Answer:
True
Step-by-step explanation:
If the triangle was a right angled triangle then we can prove it using the Pythagoras theorem: c² = a² + b²
c is the largest side and a and b are the two smaller sides of the triangle.
So if this is true then √72² + 154² should be 170:
170² = 72² + 154²
28900 = 5184 + 23716
28900 = 28900
So we have proved using Pythagoras theorem that the triangle is a right angled triangle.
Answer:
Step-by-step explanation:
The given expression is:
We apply the distributive property to get:
We add to get:
In scientific notation, we have
Step 1
Given; The table below
Required;
Step 2
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
If the graph has a negative value for a then it will look like that seen below;
This graph is from the table
The answer thus will be;
with a common denominator, the fractions become 2/12 + 8/12
So the answer will be: 10/12.
Simplified answer is 5/6
Answer:
<h2>
25metres</h2>
Step-by-step explanation:
Given the area of the garden in terms of the width modeled by the equation A(x) = -(x-25)²+625 where x is the width of the garden. The side with that will produce the maximum garden area is occurs at when d[A(x)]/dx = 0
Given A(x) = -(x-25)²+625
d[A(x)]/dx =-2(x-25) + 0
Since d[A(x)]/dx = 0
-2(x-25) = 0
open the parenthesis
-2x+50 = 0
-2x = 0-50
-2x = -50
Divide both sides by -2;
-2x/-2 = -50/-2
x = 25metres
<em>Therefore the width of the garden that will produce the maximum garden area is 5metres.</em>
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