Answer:
b = 1.7
c = 7.1
Step-by-step explanation:
the triangle with side 'b' is a 30-60-90° Δ where the ratio of sides, respectively, are 1 : : 2
to find 'b' we could set up this proportion:
b/3 = 1/
cross-multiply:
b = 3
b = 3 /
if we rationalize the denominator, this becomes (3)/3 which is
or 1.7
the other triangle is a 45-45-90°Δ where the ratio of the sides are 1 : 1 :
if the legs are 5 then the hypotenuse is 5 or 7.1
Answer: and
Step-by-step explanation:
First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":
(1)
Then, we are told "he sum of the two numbers is 18":
(2)
At this point we have our system of equations and now we are able to find the values of and
.
So, let's begin by isolating from (2):
(3)
Substituting (3) in (1):
(4)
Finding :
(5) This is the value of
Substituting (5) in (1):
(6)
Finding :
(7)
(8) This is the value of
Answer:
Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula:
Plug in <em>a</em> for 2, <em>b</em> for 3, and <em>c</em> for -7 and you should find your roots.