Answer:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.
The horizontal parallel sides are on the x-axis.
Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.
So option 1 and 2 are removed.
Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.
In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size,
180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself
The point B has coordinates (-4,2) and C has coordinates (-2,-2). We are going to calculate the slope of the line
Then, we are going to calculate the intercept using the slope m=-2 and the point (-4,2).
y=mx+b
2 = -2*(-4)+b
Isolating b we get
2-8=b= -6
The equation would be
y=-2x-6, option A
Square root of 18 because it's the only irrational number.
Answer:
(-2, 20)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -7x + 6
y = -10x
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -10x = -7x + 6
- Add 10x to both sides: 0 = 3x + 6
- Isolate <em>x</em> term: -6 = 3x
- Isolate <em>x</em>: -2 = x
- Rewrite: x = -2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -10x
- Substitute in <em>x</em>: y = -10(-2)
- Multiply: y = 20
