First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
See the attached figure to better understand the problem
we know that
in the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²
<span>AC=8 cm
AB=apothem
BC=9.4/2-----> 4.7 cm
AB</span>²=AC²-BC²-----> 8²-4.7²-----> 64-22.09------> AB²=41.91
AB=√41.91-------> 6.47 cm---------> 6.5 cm
apothem=6.5 cm
the answer is6.5 cm
The value of x would be
D. 120 degrees
That is because a line is 180 degrees, subtract 60 degrees since angle is going to be 60 degrees (equilateral triangle) like this:
180 - 60 = 120 degrees
I got you sis :)
3+y/4=-y/8
Multiply thru by 8 to get:
24 + 2y = -y
3y = -24
y = -8