Answer:
x = 2 and x = 10
Step-by-step explanation:
(x+3)^2 = (x - 5)^2 + (x + 2)^2
x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4
x^2 + 6x + 9 =2x^2 - 6x + 29
x^2 - 12x + 20 = 0
(x - 10)(x - 2) = 0
x - 10 = 0; x = 10
x - 2 = 0; x = 2
Answer:
One days trip of to school from home and back home from school is 2/3 of a mile. We want to know how far it is to school from her house.
To solve this, we simply need to take half of the total distance (2/3)
\frac{2}{3} / 2
Next, we need to turn the 2 into a fraction. Every whole number can be made into a fraction by putting it over 1.
\frac{2}{3} / \frac{2}{1}
Because we are dividing, we need to invert the second fraction and then multiply.
\frac{2}{3} * \frac {1}{2}
Next, we multiply the top of the first fraction by the top of the second and the bottom of the first fraction by the bottom of the second.
\frac{2}{6}
Once you reduce, you get:
\frac{1}{3}
x=2y-2
x=y+3
Substitute the second equation into the first
y+3=2y-2
solve for y
y=5
plug into original
x=y+3=5+3=8 or x=2(5)-2=8
Allentown got 8 ft of snow, Georgetown got 5 ft of snow.
Width of the reactangle = 38 cm
Minimum perimeter = 692 cm
Let the length of the rectangle be x cm
We know that,
Perimeter of rectangle = 2 * (length + width)
Since the perimeter should be atleast 692 cm. Therefore,
2 * (x + 38) > 692
2x + 76 > 692
2x > 692 - 76
2x > 616
x > 
x > 308
Hence, the length of the rectangle should be more that 308 cms.
Answer:The answer is 10.8167. The picture explains the answer
Step-by-step explanation:
