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4 years ago

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

Mathematics

1 answer:

lara31 [8.8K]4 years ago

4 0

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

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The diagram shows the curve with equation y = ( 1 + x ) cosx.

r-ruslan [8.4K]

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

$y=(1+x)\cos x$

$\textsf{when}\:x=0:$

$\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{6}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{3}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{2}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}$

8 0

2 years ago

Pls pls pls help me I will mark you brainest

Usimov [2.4K]

The answer is 288 :)

3 0

3 years ago

3/8 simplified⁉️<br> 14/21 simplified⁉️<br> 9/15 simplified ⁉️

ioda

14/21 is 2/3 simplified.
9/15 is 3/5 simplified.
and 3/8 can not be simplified, so it's 3/8

7 0

4 years ago

Read 2 more answers

How many degrees has ABC been rotated counter-clockwise about the origin

natali 33 [55]

I feel like it’s 180 dregrees, good luck!

3 0

3 years ago

Read 2 more answers

The number 1953125 is equal to 5^9. Explain how the information above tells you that it is not a square number. I've tried the a

ddd [48]

Answer:

$5^{9}$ can not be expressed as a square of any other number.

Step-by-step explanation:

The number 1953125 is equal to $5^{9}$ .

Now, the above statement gives an idea that 1953125 i.e. $5^{9}$ is not a square number as 9 is not a multiple of 2.

So, we can not express $5^{9}$ as a square of any other number.

We can only express $5^{9}$ as $(5^{4} )^{2} \times 5$ .

( Answer )

5 0

4 years ago