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sesenic [268]
3 years ago
9

According to the Venn diagram what type of parallelogram is both a rectangle and a rhombus

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0

According to the properties of a parallelogram.

Its opposite angles are equal and its opposite sides are also equal.

Now for a parallelogram to be a rectangle,

All its angles must be 90°.

But we also want the parallelogram to be a rhombus, which means all its sides must be equal.

Now any rectangle whose all sides are equal becomes a square.

And so parallelogram which is both a rectangle and a rhombus is a SQUARE.

Brut [27]3 years ago
4 0
A square can be both a rectangle and a rhombus
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Kobotan [32]

Answer:

3

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Step-by-step explanation:

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8 0
2 years ago
Which of the following does not belong with the other three? Explain your reasoning
Savatey [412]

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6 0
3 years ago
Graph the function.
RideAnS [48]

Answer:

\displaystyle{y=-3x-1}

Step-by-step explanation:

I have two methods: <u>standard-learning</u> which will explain overall mathematically - basically formula, etc. - while the other one <u>trick-tips</u> method will rely on choices rather mathematical calculations but with explanation on <em>why</em> and <em>how.</em>

<h3>Standard-Learning</h3>

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for <u>slope calculation</u>. This part is <u>crucial</u> for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}

Note that \displaystyle{\Delta} is delta - in both mathematic and physics, it means <u>changes in</u>.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that \displaystyle{(x_2,y_2)=(-1,2)} and \displaystyle{(x_1,y_1)=(0,-1)}.

Therefore, our slope will be:

\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

\displaystyle{y=mx+b}

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

\displaystyle{y=-3x-1}

<h3>Fast Way (Trick-Tips)</h3>

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

Learn More:

brainly.com/question/27514958 - Find the line equation with given points

8 0
2 years ago
Which equation represents a line with a slope of zero?
elena55 [62]
Y=4 because it only has a y-intercept
3 0
3 years ago
Find the maximum rate of change of f(x,y,z=x y/z at the point (2, -3, 5 and the direction in which it occurs. maximum rate of ch
kherson [118]
f(x,y,z)=x+\dfrac yz
\implies \nabla f(x,y,z)=\left(1,\dfrac1z,-\dfrac y{z^2}\right)
\implies \nabla f(2,-3,5)=\left(1,\dfrac15,\dfrac3{25}\right)

The maximum rate of change is then

\|\nabla f(2,-3,5)\|=\dfrac{\sqrt{659}}{25}

which occurs in the direction of \nabla f(2,-3,5) above.
6 0
3 years ago
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