Answer:
I'vehad to solve these questions before and perosnally math way helps its a site and helps solve questions check it out and thanks me later(: Have a nice afternoon/night/morning.
Step-by-step explanation:
x² = 35
This expression as an equation is x² = 35
<em>x</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>power</em><em> </em><em>is</em><em> </em><em>x²</em>
<em>Therefore</em><em> </em><em>x</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>power</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>35</em><em> </em><em>as</em><em> </em><em>an</em><em> </em><em>equation</em><em> </em><em>is</em><em> </em><em><u>x²</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em>
Answer: the area of the triangle = 10.5 cm²
Let 3x=a, 4x=b, 5x=c.
Hence,
P=2*(a+b+c)
36=2*(3x+4x+5x)
36=2*12x
36=24x
Divide both parts of the equation by 24:
1.5 cm=x
a=3x
a=3*1.5
a=4.5 cm
b=4x
b=4*1.5
b=6 cm
c=5x
c=5*1.5
c=7.5 cm
Answer: 10 inches.
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.
Factors of 539:1, 7, 11, 49, 77, 539Factors of 1540:1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
Common Factors: 1, 7, 11, 77GCF (greatest common factor) = 77
Hope this helps. :)