For this case we have that the point-slope equation of a line is given by:
Where:
m: It is the slope of the line
It is a point through which the line passes
In this case we have to:
Substituting in the equation we have:
Answer:
We just need to replace the value of the slope
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.
How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.
So, substituting our values in, we have:
(2.6)² + (8.1)² = (8.6)²
Performing the necessary calculations, we have:
6.76 + 65.61 = 73.96
72.37 ≠ 73.96
Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
His gross pay would be $525.00
2500-1000=1500
1500 x .15 = 225.00
225+300= $525.00
From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x.
The perimeter of the figure is calculated through the equation,
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.
Substituting the derived expressions to the equation above.
228 = (2)(12x) + 2(5x)
x = 114/17
The width and length are calculated below.
Width = (5)(114/17) = 570/17 ft = 33.53 ft
Length = (12)(114/17) = 1368/17 ft = 80.47 ft
Thus, the dimensions are approximately 33.53 ft and 80.47 ft.
Two, 2 and 7, because 3/11 just equals 0.2727272727..., so the two and seven keep repeating