During a science investigation, 6 students divided 15 pounds of potting soil equally. Write an equation that shows how many pounds of potting soil each student received.

Final answer:

The equation |r| = -2 has no solution, and the graph does not exist.

Explanation:

To solve the equation |r| = -2, we need to consider the absolute value. The absolute value of any number is always positive or zero, so it can never be negative. Since there is no number whose absolute value is -2, the equation |r| = -2 has no solution.

Graphically, the equation represents the absolute value function, which is always positive or zero. Therefore, the graph of |r| = -2 does not exist on the coordinate plane.

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The answer is 360 dollars

Answer:

CD = 10

AD = 22

EC = 13

AC = 26

∠CAD = 23°

∠BAC = 47°

∠ADC  =110°

Step-by-step explanation:

A parallelogram is a quadrilateral with two sets of opposite parallel lines.

Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.

Now lets find the values required,

CD = AB (Opposite sides are equal in length)

But, AB= 10 (given) therefore CD = 10.

AD = BC (Opposite sides are equal in length)

But, BC= 22 (given) therefore AD = 22.

EC = AE (Diagonals bisect each other)

But, AE= 13 (given) therefore EC = 13

AC = AE + EC

=

AC =

∠CAD = ∠BCA (Alternate interior angles are equal)

But, ∠BCA = 23° therefore, ∠CAD = 23°

∠BAC = ∠ACD (Alternate interior angles are equal)

But, ∠ACD = 47° therefore, ∠BAC = 47°

∠ADC + ∠BCD = 180° (Consecutive interior angles)

But,  ∠BCD = 23°+47°=70°

∠ADC = 180°- ∠BCD

           =180°-70°

∠ADC  =110°

Answer:

x + 4

Step-by-step explanation:

(x - 9)(x + 4)

FOIL

x^2 + 4x - 9x - 36 = x^2 - 5x - 36

Answer:

B

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

1973 - 1904 = 69

Answer:

1973-1904=69

Explanation:

1973-69=1904

1904+69=1973