Given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).
We are given that image is rotated 90° counterclockwise about the origin.
In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
A(2,2) --> A'(-2,2).
B(7,1) --> B'(-1,7).
C(8,-4) --> C'(4,8).
The explanation of the angle is illustrated below.
<h3>How to explain the angle?</h3>
It should be noted that an example that contradicts the information given about the angle is that if two rays overlap, it's still a ray but not an angle.
Then, a modified definition will be that this common endpoint is called the vertex of the angle and the two rays are called the sides of the angle.
Learn more about angle on:
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Answer:
52.6 mm
Step-by-step explanation:
split this figure and form one square and semi circle
for semicircle
radius = 4mm
find diameter
radius = diameter /2
4*2 = diameter
8 mm = diameter
now find perimeter of square
POS = 4l
=4*8
=32 mm
perimeter of semicircle= πr + 2r
=3.14^4 + 2*4
=12.56 + 8
=20.56 mm
area of the figure = perimeter of square + perimeter of semicircle
=32 + 20.56 mm
=52.56 mm
=52.6 mm
split ur figure as shown below
To find the intercept of a variable in a equation with more than one variable, you need to equal the others variables to zero.
-> 4x -6y -5z = 60
-> X-Intercept:
To find the X intercept, equal the Y and Z values to 0.
(Y = 0; Z = 0)
4x -6(0) -5(0) = 60
4x = 60
x = 60/4
x = 15
-> Y-Intercept:
To the Y intercept it's the same thing, equal the another variable values to 0.
(X = 0; Z = 0)
4(0) -6y -5(0) = 60
-6y = 60
-y = 60/6
-y = 10 x(-1)
y = -10
-> Z-Intercept:
(X = 0; Y = 0)
4(0) -6(0) -5z = 60
-5z =60
-z = 60/5
-z = 12 x(-1)
z = -12
Answer: The intercepts for this equation (15,-10,-12).
Or: x = 15, y = -10, z = -12.
<em>Answer:</em>
<em>B</em>
<em>Step-by-step explanation:</em>
<em>If h is hours, then we can substitute 2 into the equation.</em>
<em>K = 30(2) + 40</em>
<em>K = 60 + 40</em>
<em>K = 100</em>
<em>Hope this helps. Have a nice day.</em>
