Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:


Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:

Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;


This gives:

Open bracket

Collect like terms


Using quadratic formula:




Split


x can not be negative.
So:


Recall that:



Hence, the dimensions are:


Answer:
the transformation was 90° at the origin
Step-by-step explanation:
the transformation was 90° at the origin
Answer:
- 6
Step-by-step explanation:
The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.
Slope(using these pts) = (y2 - y1)/(x2 - x1)
=> - 2 = (-2 - r)/(3 - 5)
=> -2 = (-2 - r)/(-2)
=> (-2)(-2) = (-2 - r)
=> 4 = -2 - r
=> r = - 2 - 4
=> r = - 6
Answer:
In average, houses in the particular area use 119,6 therms of gas during the month of January.
Step-by-step explanation:
The μ formula is:
μ= ΣXi/N
ΣXi= is the sum of each xi. xi is each observation in the sample.
N= Total number of observations.
For this case:
ΣXi= 125+103+118+ 109+ 122+ 82+ 99+ 138+ 151+ 149
ΣXi= 1196
N= 10
μ= 1196/10
μ= 119,6
In average, houses in the particular area use 119,6 therms of gas during the month of January.
8x2=16 and 11x2=22 all you have to do is add 16+22 and that gives you 38 i hope this helped