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3 years ago

Can a rectangle be a square?

Mathematics

2 answers:

DENIUS [597]3 years ago

5 0

No, to be a square each side has to be equal. but all squares are rectangles.

Nastasia [14]3 years ago

5 0

Answer:

A rectangle can be tall and thin, short and fat or all the sides can have the same length. ... Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

Step-by-step explanation:

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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

3 years ago

Morgan made a mistake when subtracting the rational expressions below.

Nat2105 [25]

Answer : D

$\frac{3t^2-4t+1}{t+3} - \frac{t^2+2t+2}{t+3}$

The denominators are same

So we combine the numerators

$\frac{(3t^2-4t+1)-(t^2+2t+2)}{t+3}$

To remove parenthesis we distribute negative sign inside the second parenthesis

$\frac{3t^2-4t+1-t^2-2t-2)}{t+3}$

$\frac{2t^2-6t-1)}{t+3}$

Morgan made a mistake. He forgot to distribute the negative sign

Morgan forgot to distribute the negative sign to two of the terms 2t and 2 inside second parenthesis

3 0

3 years ago

Negative angles are measured in which direction from standard position?

NNADVOKAT [17]

Answer:

Clockwise

Step-by-step explanation:

The angle is measured from the initial side to the terminal side by the amount of rotation. The measurement is positive if measured in a counterclockwise direction. The measurement is negative if measured in a clockwise direction.