Answer:
Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:
For this triangle we know that 
and . We substitute these values in the equation and solve for B.
Now we use the quadratic formula to solve the equation.
For an equation of the form 
the quadratic formula is:
In this case note that: 
Then:
The solutions are:
For this problem we take the positive solution.
Now we substitute the value of B in the equation to find the height h
Step-by-step explanation:
<h3><u>Given</u><u>:</u><u>-</u></h3>
(√3+√2)/(√3-√2)
<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>
<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>
<h3><u>Solution</u><u>:</u><u>-</u></h3>
We have,
(√3+√2)/(√3-√2)
The denominator = √3-√2
The Rationalising factor of √3-√2 is √3+√2
On Rationalising the denominator then
=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]
=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]
=>(√3+√2)²/[(√3-√2)(√3+√2)]
=> (√3+√2)²/[(√3)²-(√2)²]
Since (a+b)(a-b) = a²-b²
Where , a = √3 and b = √2
=> (√3+√2)²/(3-2)
=> (√3-√2)²/1
=> (√3+√2)²
=> (√3)²+2(√3)(√2)+(√2)²
Since , (a+b)² = a²+2ab+b²
Where , a = √3 and b = √2
=> 3+2√6+2
=> 5+2√6
<h3><u>Answer:-</u></h3>
The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.
<h3>
<u>Used formulae:-</u></h3>
→ (a+b)² = a²+2ab+b²
→ (a-b)² = a²-2ab+b²
→ (a+b)(a-b) = a²-b²
→ The Rationalising factor of √a-√b is √a+√b
Simply because 4.135 is a larger number than 4.23.
Their total points for the first 10 games were
(10) x (35) = 350 total .
Their total points after 11 games were
(11) x (33) = 363 total .
They must have scored (363 - 350) = 13 points in that 11th game.
I hate to say it, but these kids and their coach are in the wrong game.
2)
A: 5
B: 9a & a (from a/6)
C: -5 & ÷4
D: -5 & 9a
I haven't done algebra in a year, so don't think my answers are perfect!
definitions:
term: something separated by a sign/symbol (÷, ×, - +) (a/6 are two separate terms, ÷)
constant terms: variables that can be solved.
unlike terms: terms that don't "go" together, you can't subtract 5 from 9a because there's a variable in the way (eyy that rhymes)
like terms: terms that you can add/subtract/multiply/divide to another term
(another answer to c is 9a & a)
