Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
Answer:
Part--1:
We know that a equation in point-slope form is represented by:
<em> y-y1=m</em>
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where m is the slope of the line and is a point through which the line passes.
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Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
Answer:
Water flows into a tank according to the rate
Water flows into a tank according to the rate F(t) = (6+t)/(1+t), and at the same time empties out at the rate E(t) = ln (t+2)/(t+1), with both F(t) and E(t) measured in gallons per minute.
Step-by-step explanation:
the circumference of a circle is 2pie times radius
