Answer:
The numbers are
and
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
so
The positive real number is
Find the value of y

2x - 3y = 8....subtract 2x from both sides
-3y = -2x + 8 ...divide both sides by -3
y = 2/3x - 8/3
Answer:
b = 17.55
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 18^2
16 + b^2 = 324
<u>-16 -16</u>
b^2 = 308
square root them
<u>b = 17.55</u>
let me know if it is correct!
Answer:
x = 71°
Step-by-step explanation:
Segments of tangents from the same external point are congruent, that is
AT = BT
Then Δ ABT is isosceles with base angles congruent , so
x =
=
= 71°