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vovangra [49]
3 years ago
9

complete the sentence. two geometric figures are______ figures if and only there is a rigid motion or a composition of rigid mot

ions that maps one of the figures onto the other.​
Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0
It is a translation
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the man has 5 dimes and 9 quarters

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Graph -5x + 2 > 3y and 3x-4y <3
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Answer:

Below!

Step-by-step explanation:

Solve for  y.

Rewrite in slope-intercept form.

Use the slope-intercept form to find the slope and y-intercept.

Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.

Graph the line using the slope and the y-intercept, or the points.

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The sum of b and 24 <br>18 less than x <br>an amount of a divided by 3​
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b+24

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3 years ago
The total surface area of a cone whose radius is 2 r and slant height 2l is
vampirchik [111]

Answer:

A=4\pi r(l+r)

Step-by-step explanation:

The total surface area of a cone is given by :

A=\pi rl+\pi r^2\\\\=\pi r(l+r)

Put r = 2r and l = 2l in the above formula

A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)

Hence, the total surface area of the cone is 4\pi r(l+r).

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2 years ago
How can you quickly determine the number of roots a polynomial will have by looking at the equation?
Shtirlitz [24]

One can determine the number of roots by seeing the degree of the given polynomial.

The number of roots can be determined by just seeing the highest power of the given equation.

1) for the equation  x-4=0

here, the highest power of the equation is one. So, it will have one root.

<h3>What is the polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on,  and non-negative integer exponentiation of variables.

Let's check it by simplifying x-4=0  which implies x=4

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

10t^2-t-3=0

here, the highest power of the equation is two. So, it will have two roots.

Let's check it by simplifying using the middle term splitting method,

10t^2+5t-6t-3=0

5t(2t+1)-3(2t+1)=0

(5t-3)(2t+1)=0

t=-3/5 or t=-1/2

Thus, the equation has two roots.

Hence, one can determine the number of roots by seeing the degree of the given polynomial.

To learn more about the polynomial visit:

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