Let us evaluate the equations one at a time.
1) 3x + 5 = -2
3x = -7
x = -7/3
This equation has unique solution.
2) 6(x - 11) = 15 - 4x
6x - 66 = 15 - 4x
10x = 81
x = 81/10
Ths equation has a unique solution
3) 12x + 9 = 8x + 1 + 4x
12x - 8x - 4x = 1 - 9
0x = -8
x = -8/0
This equation has no solution.
4) 2(x - 3) = 10x - 6 - 8x
2x - 6 = 10x - 6 - 8x
2x - 10x + 8x = -6 + 6
0x = 0
x = 0/0
Ths equation has no solution.
5) 5x + 6 = 5x - 4
5x - 5x = -4 - 6
0x = -10
x = -10/0
This equation has no solution.
Answer:
dolphin wing measuring 2.7 cm
Step-by-step explanation:
if you take the length of the cheese and multiply that by the area of the parking lot, you will notice a w in the equation and w is water in hieroglyphs so you go to the ocean and you see the wing
The excluded values are the values that the variable cannot take on because it makes the overall expression undefined.
For example, we can't have
in the expression
because
is undefined.
For both of these problems you do the same sort of thing, with some factorization along the way:
![\dfrac{9p^2}{4p^2-12p}=\dfrac{9p^2}{4p(p-3)}](https://tex.z-dn.net/?f=%5Cdfrac%7B9p%5E2%7D%7B4p%5E2-12p%7D%3D%5Cdfrac%7B9p%5E2%7D%7B4p%28p-3%29%7D)
If
or
, the denominator is 0 and we have an undefined expression, so these are the excluded values.
![\dfrac6{m^2+m-42}=\dfrac6{(m+7)(m-6)}](https://tex.z-dn.net/?f=%5Cdfrac6%7Bm%5E2%2Bm-42%7D%3D%5Cdfrac6%7B%28m%2B7%29%28m-6%29%7D)
If
or
, we get an undefined expression.
Answer:
370
Step-by-step explanation:
Every time, the number adds 7. 66*7 will be 462.
-92+462 is 370
#17
Use property that the diagonals of a parallelogram bisect each other, =>
x+y=18
y+(can't read)=22
Solve for x and y.
#18
z+60=180 [angles on a line are supplementary]
x=z [opposite angles of a parallelogram are congruent]
y=50 [alternate interior angles between parallel lines AD and BC]
#19
3v=30 [ opposite sides of a parallelogram are congruent ]
solve for v.
2u-1=19 [ ditto ]
solve for u.
#20
(a) AB//DC [ adjacent angles are supplementary ]
(b) PS//QR [ ditto ]
#21
1) a parallelogram with one angle 90 means the adjacent angles are 180-90=90. This in turn means all angles are 90, so the figure is a rectangle (adjacent sides may or may not be equal in a parallelogram).
2) a rectangle with adjacent sides equal must be a square.