A pancake mix requires 2 cups of flour for every 10 pancakes. How much flour is used per pancake?
2 answers:
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The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
Learn more about reflection
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The equation that we have been given is:
=
In order to solve for the value of 'x', we'll have to use cross-multiplication.
Cross-multiplication is a method in which the numerator of one fraction is multiplied by the denominator of another fraction that it is equal to.
Let's cross-mutliply the numerators and denominators:
=
9*(x+2) = 4*(3x)
Distribute the numbers into the parentheses.
9x + 18 = 12x
Simplify by subtracting both sides by 9x:
9x - 9x + 18 = 12x - 9x
0 + 18 = 3x
18 = 3x
3x = 18
Divide both sides by 3:
=
<u>x = 6</u>
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Let me know if you'd like me to explain anything I did here.
- breezyツ