Step-by-step explanation:
Given the inequality 4x - 2y < 22, to get the ordered pair of the inequality, we will have to set x = 0 and y = 0 and then solve
when x = 0;
4(0)-2y < 22
-2y < 22
Divide both sides by -2
-2y/-2 > 22/-2
y > -11
When y = 0
4x - 2(0)<22
4x < 22
x < 22/4
x < 11/2
Answer:
The slope of the line that passes through the points (2, 3) and (8, 6) is 
.
Step-by-step explanation:
To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is 
or .
Some basic formulas involving triangles
\ a^2 = b^2 + c^2 - 2bc \textrm{ cos } \alphaa 2 =b 2+2 + c 2
−2bc cos α
\ b^2 = a^2 + c^2 - 2ac \textrm{ cos } \betab 2=
m_b^2 = \frac{1}{4}( 2a^2 + 2c^2 - b^2 )m b2 = 41(2a 2 + 2c 2-b 2)
b
Bisector formulas
\ \frac{a}{b} = \frac{m}{n} ba =nm
\ l^2 = ab - mnl 2=ab-mm
A = \frac{1}{2}a\cdot b = \frac{1}{2}c\cdot hA=
\ A = \sqrt{p(p - a)(p - b)(p - c)}A=
p(p−a)(p−b)(p−c)
\iits whatever A = prA=pr with r we denote the radius of the triangle inscribed circle
\ A = \frac{abc}{4R}A=
4R
abc
- R is the radius of the prescribed circle
\ A = \sqrt{p(p - a)(p - b)(p - c)}A=
p(p−a)(p−b)(p−c)
For multiplying radical expressions, we are first to list down the given.
f(x) = (x + 3/x)^(1/2), and
g(x) = (x + 3/2x)^(1/2)
We take a look at first the values of the radicands, these are the numbers inside the radical signs. Since, both of the radicands are raised to exponent 1/2, it is easy to say that we just have to multiply them and raise the product to the exponent 1/2 as well. That is,
(f·g)(x) = ((x + 3/x)(x + 3/2x))^(1/2)
Simplifying,
(f·g)(x) = ((x² + 3/2 + 3 + 9/2x²)^(1/2))
Further simplification will lead us to the final answer of,
<em>(f·g)(x) = (x² + 9/2 + 9/2x²)^(1/2)</em>
