Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:
-6x + y = -2
6x -18y = 54
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-17y = 52, or y = -52/17. Subst. this value of y into either equation to find the value of x.
Answer: 225 square feet
Step-by-step explanation:
We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.
Area of triangle 1 = 1/2 base × height
= 1/2 × 12 × 8
=96/2
=48
Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)
Area of triangle 3 = 1/2×base×height
= 1/2 × 6 ×9.5
= 57/2
=28.5
Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)
Area of the rectangle = length×breadth
=12 × 6 =72
Total surface area = addition of all the areas of the triangles and the rectangle
Total surface area= 48+48+57+57+72 = 225
Therefore, the total surface area is 225 square feet
You get the answer x+5/x+3.
This is because all of the fractions have the same denominator, so just add the numerators and put them over x+3.
Answer:
a) M(-1, 4.5)
b) 10.63
c) 7/8
Step-by-step explanation:
a)
x = (3 + (-5))/2 = -1
y = (8 + 1)/2 = 4.5
M(-1, 4.5)
b) d = sqrt[(x1-x2)^2 + (y1-y2)^2] = sqrt(113) = 10.63
c) m = (y2-y1)/(x2-x1) = 7/8