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3 years ago

a shape with rotational symmetry can be rotated around a point so that all of its characteristics are maintained

Mathematics

2 answers:

kirza4 [7]3 years ago

4 0

The correct answer to this is “True”.

Symmetry signifies balance and form. An object with rotational symmetry will still look the same after a rotation. Since it maintains its shape and figure after being rotated, therefore its characteristics such as length of the diagonals, the angles of each corner, or parallelism of opposite sides will remain the same.

AlladinOne [14]3 years ago

3 0

Answer:

True, the object is only getting translated. There is no change is shape or size.

Step-by-step explanation:

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Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5

Basile [38]

Answer:

y=-5+19

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-1). When x of the line is 4, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

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3 years ago

100 pts help me please.

Natalija [7]

Answer:

Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.

Step-by-step explanation:

We know that:

48 + 8(b) = Carly's expenditure
10(b) = Carly's expenditure
48 + 8b = 10b
B = Boxes of cards

Work:

48 + 8b = 10b
=> 48 + 8b - 8b = 10b - 8b
=> 48 = 2b
=> b = 24

Now, let's substitute the value of b into any equation.

10(24)
=> 240

Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.

Hoped this helped.

$BrainiacUser1357$

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