Answer:
Distance = 5
Step-by-step explanation:
x2 = 3
y2 = 1
x1 = 7
y1 = -2
=> d = Square root of (3 - 7)^2 + (1 + 2)^2
=> d = Square root of (-4)^2 + (3)^2
=> d = Square root of 16 + 9
= d = Square root of 25
d = 5
I think instead of "conjunction" it should say "conjecture"
Anyways, draw out a quadrilateral (see figure 1 attached). It can be any figure with 4 sides. Label the angles as A, B, C and D. The conjecture to prove is that A+B+C+D = 360. In other words, the sum of the four angles of any quadrilateral is always 360 degrees.
Draw a segment from A to C. This segment will cut the quadrilateral into two triangles. Re-label angle A to angle E and F. Do the same for angle C (label it G and H). Essentially, angle A = E+F and angle C = G+H.
See figure 2. Notice how I've color-coded things. The blue angles correspond to one triangle while the red angles correspond to the other triangle.
Since we know that three angles of a triangle always add to 180, we can say
B+G+E = 180
F+D+H = 180
Add the two equations (add left side separately; do the same for the right side)
Doing so leads to
B+G+E+F+D+H = 180+180
(E+F) + B + (G+H) + D = 360
A+B+C+D = 360
Which proves the conjecture
No solution .............
You would put parentheses like this. 15-(3X4)+9=12
Step-by-step explanation:
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Length is 8 feet more than the width
which means that
length =8 + Width
substitute them into the question
188 = 2(8+width) +2w
188 =16 +2w+2w
188=16 +4w
solving for W
4w =188-16