Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 13², so
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = 
= 5
9514 1404 393
Answer:
√629 ≈ 25.08
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08
The distance between the points is about 25.08 units.
Answer:
The area is 35
The perimeter is 24
Step-by-step explanation:
You can count the individual units of the length and the width of the rectangle.
The width is 5, the length is 7
The area is 5*7=35
The perimeter is 5+5+7+7=24
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
1. The point where x and y axis meet is the intersect, origin of the coordinate system (0,0)
2. m<A and m<D = 90 then <A and D are complementary angles
3. 180 angle or linear rays
4. Obtuse angle measure more than 90
5. Segment of equal lengths are congruent segments
6. Lines that meet at a 90 angle are perpendicular
