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3 years ago

Which statements about a square are always true?

Mathematics

1 answer:

arlik [135]3 years ago

8 0

Answer:

All statements are true.

Step-by-step explanation:

In a square, we have

all sides equal

all angles equal to 90 degrees

diagonals always bisect each other and at right angles.

Only square is the quadrilateral which satisfies all the above properties.

A parallelogram has diagonals which do not cut at right angles.

A rhombus has all sides equal but not all angles. Neither diagonals are equal in a rhombus.

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Find the solutions of the equation x4 − 2x3 − x2 + 2x = 0. (Enter your answers as a comma-separated list.)

Bad White [126]

Answer:

$S=\left \{ 0,-1,1,2 \right \}$

Step-by-step explanation:

There are several ways to solve this quartic equation. But since the coefficients, they repeat a=1,b=2,c=1,d=2, but e=0, and they are multiple of each other, then it is more convenient to work with factoring as the method of solving it.

As if it was a quadratic one.

$x^{4}-2x^{3}- x^{2} + 2x = 0\\x(x^{3}-2x^{2}-x+2)=0 \:Factoring \:out\\x[(x^{3}-2x^{2})+(-x+2)]=0 \:Grouping\\x[\mathbf{x^{2}}(x-2)+\mathbf{-1}(x+2)]=0 \:Rewriting\:the\:first\:factor\\x(x^{2}-1)(x-2)\:Expanding \:the \:first \:factor\\x(x-1)(x+1)(x-2)=0\\x=0,x=1,x=-1,x=2\\S=\left \{ 0,-1,1,2 \right \}$

7 0

3 years ago

Read 2 more answers

What function is graphed below<br><br><br><br><br><br><br> y = 2x y = x + 3 y = 2x + 3 y = 2x + 2

Marizza181 [45]

Answer:

y = 2x + 3

Step-by-step explanation:

Going from point (0, 3) to point (1, 5), you go 2 units up and 1 unit right. That means the rise is 2, and the run is 1.

slope = rise/run = 2/1 = 2

The slope is 2.

y = 2x + b has a slope of 2.

Now we need b.

Looking at the graph, we see that the y-intercept of the line is point (0, 3), so b = 3.

The equation is

y = 2x + 3

4 0

3 years ago

Two submarines, one cruising at 25 knots and the other at 20 knots, left a naval base at the same moment. Three hours later, the

sweet [91]

<h2>Measure of the angle between their courses is 95°</h2>

Step-by-step explanation:

Speed of submarine 1 = 25 knots = 28.77 mph

Speed of submarine 2 = 20 knots = 23 mph

Time taken = 3 hours

Distance traveled by submarine 1 = 28.77 x 3 = 86.31 miles

Distance traveled by submarine 2 = 23 x 3 = 69 miles

Distance between them is 100 nautical miles = 115.08 miles

Refer the figure

By cosine formula we have

$cosB=\frac{a^2+c^2-b^2}{2ac}$

a = 86.31 miles

b = 115.08 miles

c = 69 miles

Substituting

$cosB=\frac{86.31^2+69^2-115.08^2}{2\times 86.31\times 69}\\\\cosB=-0.0867\\\\B=94.98^0=95^0$

Measure of the angle between their courses is 95°

4 0

4 years ago

How are polygons similar

Burka [1]

Answer:

They all have equal sides

Step-by-step explanation:

Hope this helps :))

3 0

3 years ago

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When you make the circle bigger or smaller, which number of the standard equation for the circle centered at the origin changes?

Len [333]

I think the correct answer from the choices listed above is option C. <span>When you make the circle bigger or smaller, it is the radius of the standard equation for the circle centered at the origin changes. Hope this answers the question. Have a nice day.</span>

6 0

3 years ago

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