write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2
1 answer:
Answer:
The answer is
<h2>Step-by-step explanation:
To find the equation of a line given a point and slope we use the formula
<h3>y - y1 = m(x - x1)</h3>where
m is the slope
( x1 , y1) is the point
From the question
Slope / m = - 2
The point is ( 10, - 9)
Substitute the values into the above formula
That's the final answer is
<h3>Hope this helps you
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Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
