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Lisa [10]
3 years ago
12

Rotate 90 degrees clockwise about (0,0)

Mathematics
1 answer:
Rasek [7]3 years ago
4 0
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).
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QUICK! WHAT IS THIS ANSWER?
FromTheMoon [43]

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

<h3>a)</h3>

we want to expand the following expression:

\displaystyle -   \frac{1}{4} ( - 8x + 12y)

well to do so we consider distributive property thus distribute:

\displaystyle -   \frac{1}{4} (- 8x )+  -  \frac{1}{4}( 12y)

reduce fraction which yields:

\displaystyle -   \frac{1}{4} (- 8x )+  -  \frac{1}{4}( 12y) \\  \\  \displaystyle 2x + ( - 3y)

simplify Parentheses:

\displaystyle \boxed{ 2x - 3y}

<h3>b)</h3>

in the expression there's a common factor of 4 therefore factor it out:

\displaystyle 9.4a - 4.4 \\  \\  \displaystyle   \boxed{4(9a - 4)}

3 0
3 years ago
Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans tha
Natalka [10]
The answer is f(x)=x-0.2x
3 0
2 years ago
What 6 divided by 108 long divison
Vinvika [58]

Answer: 18

Step-by-step explanation:

See the photo for work shown

5 0
3 years ago
Read 2 more answers
X + y = 3, 4y = -4x - 4<br> System of Equations
alexdok [17]

Answer:

no solutions

Step-by-step explanation:

Hi there!

We're given this system of equations:

x+y=3

4y=-4x-4

and we need to solve it (find the point where the lines intersect, as these are linear equations)

let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable

we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4

y=-x-1

now we have y set as an expression containing x

substitute -x-1 as y in x+y=3 to solve for x

x+-x-1=3

combine like terms

-1=3

This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.

Therefore the answer is no solutions

Hope this helps! :)

The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution

3 0
3 years ago
Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
Rasek [7]

The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.

We have a quadrilateral shown in the picture.

The diagonal divides the quadrilateral into two triangles

The area of the quadrilateral = area of the triangle ADC + area of the

                                                   triangle ADB

= (1/2)3.42×4.39 + (1/2)5.44×3.42

= 7.5069 + 9.3024

= 16.80 square units

Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

7 0
2 years ago
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