Answer:
x = 11.85
Step-by-step explanation:
x^2+(x-4)^2=202
x^2+(x-4)(x-4)=202
x^2 + x^2 - 4x - 4x + 16 = 202
2x^2 - 8x + 16 = 202
2x^2 - 8x - 186 = 0
Apply the quadratic equation and you'll get x as:
x=11.85 or x=-7.85
x cannot be negative
therefore x = 11.85
Answer:
I think it is 7x+5y=40. Tell me if I'm right because don't think I am.
Step-by-step explanation:
To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.
If done correctly, your simplified equation should be
100,000 + 75,000x = 125,000
Next, we would subtract 100,000 from both sides, resulting in the equation
75,000x = 25,000
Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of
x= 25,000/75,000
However, many mathematics teachers ask for fractional answers to be simplified. To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.
The GCF of 25,000 and 75,000 is 25,000.
So, in simplest form, your final answer is
x=1/3
Answer:
Exercise 1:
base [b]=8cm
perpendicular [p]=6cm
hypotenuse [h]=?
<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>
h²=p²+b²
h²=6²+8²
h=√100
h=10cm
<u>So</u><u> </u><u>another</u><u> </u><u>side's</u><u> </u><u>length</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>c</u><u>m</u>
<u>Exercise</u><u> </u><u>2</u><u>:</u>
base [b]=6m
perpendicular [p]=bm
hypotenuse [h]=8m
By using Pythagoras law
h²=p²+b²
8²=b²+6²
b²=8²-6²
b=√28=2√7 0r 5.29 or 5.3
So height of kite is√<u>28</u><u>o</u><u>r</u><u> </u><u>2√7 0r 5.29 or 5.3 m</u>
Step-by-step explanation:
[Note: thanks for translating]
