Answer:
1)
2) 8 3) 0.8 4) ![\sqrt[10]{61}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B61%7D)
Step-by-step explanation:
The equation for pythagoream theorem is
a^2 + b^2 = c^2 (the caret "^" represents exponents)
A = a side length
B = another side length
C = the hypotnuse which is the slanted side of the right triangle.
To solve these problems plug in the known values into the equation then solve.
We call two numbers a and b, notice a>b
<span>The sum of two numbers is 110: a+b=110
</span><span>The larger number is 2 less than 7 times the smaller: a=7b-2
And by replacing a=7b-2 we have an equation: 7b-2+b=110
or 8b=110+2, and 8b=112, that means b=112:8= 14
We have two numbers: 14 and 96</span>
Answer:
The positive value of
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let
, roots are those values of
so that
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:


The smaller root is
, and the larger root is
.
has one real root when
. Then, we solve the discriminant for
:


The positive value of
will result in exactly one real root is approximately 0.028.
Is it supposed to be equal to something, maybe "0"? You wouldn't be able to solve this without that.