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3 years ago

When the figure below is rotated 90 degrees counterclockwise about the origin what would be the new coordinates of point c?

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Rotating a figure 90° counterclockwise about the origin results in an ordered pair (x, y) mapping to its image (-y, x). Thus point C, which is at (3, 5), will map to (-5, 3).

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Simplify. <br><br> −3x3(−2x2+4x−3)

stepladder [879]

Answer:

$-3x^3(-2x^2+4x-3)$ simplifies to $6x^5-12x^4+9x^3$

Step-by-step explanation:

Given expression $-3x^3(-2x^2+4x-3)$

We have to simplify the above expression,

Consider the given expression $-3x^3(-2x^2+4x-3)$

Multiply each term in brackets by $-3x^3$ , we get,

$-3x^3(-2x^2+4x-3)=-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)$

Solving further, using $x^n\cdot x^m=x^{n+m}$ we get,

$-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)=6x^5-12x^4+9x^3$

Thus, $-3x^3(-2x^2+4x-3)$ simplifies to $6x^5-12x^4+9x^3$

4 0

3 years ago

Read 2 more answers

The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu

-BARSIC- [3]

Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

$x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9$

The digits X and Y are 3 and 9, so the original number is 39.

8 0

3 years ago

2 show by calculation of nature of triangle AMK<br>3 CULCULATE BP MK AK

GarryVolchara [31]

Answer:

if he is the to form a 666

Step-by-step explanation:

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6 0

3 years ago

Find the value of 8/15×2/13 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same,

xz_007 [3.2K]

Answer:

$\frac{16}{195}$

Step-by-step explanation:

To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that

$\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}$

Substituting a,b,c and d for 8,15,2 and 13 we obtain that

$\frac{8}{15}* \frac{2}{13} =\frac{16}{195}$

3 0

3 years ago

A company sells kitchen toys for kids, including artificial carrots that are cone shaped with a radius of 1 cm and a height of 6

sdas [7]

Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

It is three dimension shape.
It has a vertex.
The slant height of a cone $l^2=r^2+h^2$ , $l$ = slant height, r= radius of the base, h= height
The lateral surface area is πrl
The volume of a cone is $\frac13 \pi r^2h$ .