Answer:
Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.
Step-by-step explanation:
Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:
(1)
Donde
es un número natural.
A continuación, expandimos la expresión y resolvemos:


La única solución factible es
. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.
Answer:
a. Isosceles + Acute
b. Scalene + Right
Step-by-step explanation:
a. The side markers show that 2 sides are equivalent in length, making it isosceles. The angles are all noticeably under 90 degrees, resulting in it being acute.
b. There are no side markers whatsoever, making it scalene. There is a right angle marker, resulting in the triangle being right.
Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)
Answer:
y = 10x + 100
Step-by-step explanation:
The 100 bonus points are guaranteed, no matter if you use the site for 0 months or more. Thus, 100 is the constant, the y-intercept in a graph.
The 10 points you earn for each month is the rate of change, or slope.
The equation is:
y = 10x + 100
where x represents the number of months used, and y is the total points.
As a function, the equation is:
p(x) = 10x + 100
where x is the number of months, and p meaning points.