Answer:
Graph (1)
Step-by-step explanation:
Given rule for the rotation of a figure is,
A(x, y) → A'(-y, x)
This rule defines the rotation of point A by 90° counterclockwise about the origin.
Coordinates of point A → (-2, 0)
Coordinates of point C → (-1, 0)
Following the rule of rotation,
A(x, y) → A'(-y, x)
A(-2, 0) → A'(0, -2)
C(-1, 4) → C'(-4, -1)
Now search the image points from the graphs attached,
Graph (1) will be the answer.
Answer:
Yes! You can
Step-by-step explanation:
1. If this is rows and columns it is doable, however if you are speaking columns by rows it isn't
2. You multiply them like normal except when you reach the end on your 2x2 matrix you repeat the cycle
3. http://www.calcul.com/show/calculator/matrix-multiplication_;2;2;2;3 there's a link to check your answer after you've done it
4
Answer:
x = 8°
y = 6°
Step-by-step explanation:
Hello!
All 3 sides of the triangle are equal, indicating that it is an equilateral triangle. The rules of this particular triangle say that all angles are equal to 60°.
We can solve for x by setting the equation 7x+4 to 60.
<h3>Solve for x</h3>
- 7x + 4° = 60°
- 7x° = 56°
- x = 8°
The value of x is 8°.
We can go ahead and solve for y by setting that equation to 60°.
<h3>Solve for y</h3>
- 8y + 12° = 60°
- 8y = 48°
- y = 6°
The value of y is 6°.
Answer: The toy should be 2.4 inches tall
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Explanation:
First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches
So, 6 ft = 72 inches
The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio
1/30 = x/72
where x is the height of the toy soldier in inches
Cross multiply and solve for x
1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4
So the toy should be 2.4 inches tall.
Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.
