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2 years ago

When you square or cube a negative number is it still negative or does it become positive?

1 answer:

6 0

When you square a negative number, the result is positive.
(-4)^2 = (-4)ª(-4) = 16

When you cube a negative number, the result is negative.
(-4)^3 = (-4)•(-4)•(-4) = -64

Negatives pair up and cancel out, so odd exponents always have one negative unpaired, making the result negative.

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Estimate the area of Alberta in square miles. Show your reasoning

ella [17]

Answer: About $278,250\ mi^2$

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid can be calcualted with the formula:

$A_t=\frac{h}{2}(B+b)$

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

$A_r=lw$

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

$A=\frac{h}{2}(B+b)+lw$

Substituting vallues, you get:

$A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2$

Therefore, the area of of Alberta is about $278,250\ mi^2$ .

5 0

2 years ago

There are 60 dogs at a doggie daycare on Friday. If 1/3 of the dogs are large dogs, 1/6 of the dogs are medium-sized dogs,and th

Lorico [155]

Half of the dogs are small dogs

5 0

2 years ago

Read 2 more answers

Solve the system of equations.

Helga [31]

The answer is x=1 y=-1 and z=1. If you plug in the variables you get
4-3+5 and that equals 6. So that’s the answer

7 0

2 years ago

The graph of y = f(x) is graphed below. Wat is the end behavior of f(x)? <br> PLEASE ASAP

Maurinko [17]

Answer:

B.) as x --> -∞, f(x) --> ∞ and x --> ∞, f(x) --> ∞

Step-by-step explanation:

F(x) is another way of representing "y". That being said, the question is asking you the behavior of the graph in terms of the y-axis. On both sides of the function, there is an arrow pointing upwards, towards infinite, positive y-values. Therefore, as "x" approaches -∞ and ∞, f(x) is approaching ∞ (positive infinity).

4 0

1 year ago

Find the Roots of the quadratic equation.<br> 2x2 + 7 – 30 = 0

DIA [1.3K]

Answer:

x=−5/2,6

Step-by-step explanation:

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2 years ago