Answer:
is the answer
Step-by-step explanation:
Equation of the line: y = 6/5x + 1
= 5y = 6x + 5
= 6x - 5y + 5
Equation of the perpendicular line: bx - ay + k = 0
= -5x -6y + k = 0
Equation passes through (6,-6),
-5(6) -6(-6) + k = 0
-30 + 36 + k = 0
6 + k = 0
k = -6
Substituting,
-5x -6y + k = 0
-5x -6y -6 = 0
-6y = 5x + 6
(Slope-Intercept form)
Because JKLM is a parallelogram, MT = TK.
MT: 8y + 18
TK : 12y - 10
MT = TK
8y + 18 = 12y - 10
8y - 12y = -10 -18
-4y = -28
y = -28/-4
y = 7
MT: 8y + 18 → 8(7) + 18 = 56 + 18 = 74
<span>TK : 12y - 10 </span>→ 12(7) -10 = 84 - 10 = 74
The value of y is 7.
Pythagorean Theorem is for right triangles
right triangles have a 90 degree angle in them
D is a right triangle
Yes it is, 502.75 ml > 499.793 ml
Answer:
System of equations
160 = 2W + 2L
W = L - 16
Solution to system of equations
W = 32 ft
L = 48 ft
Explanation:
The width is 16 feet less than the length, so the appropriate equation for that is ...
... W = L - 16
Using this expression for W, we can substitute into the equation for perimeter:
... 160 = 2(L - 16) + 2L
... 160 = 4L -32 . . . . . . . collect terms
... 192 = 4L . . . . . . . . . . add 32
... 48 = L . . . . . . . . . . . . divide by 4
... W = 48 -16 = 32 . . . . find W using the relation with L
Length is 48 ft; width is 32 ft.
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