A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".
Step-by-step explanation:
I have written the answer for you...You must know that diameter is twice the radius.
The method in which you do this problem would be to FOIL. First Outer Inner Last. You take the first terms and multiply them. x*x = x^2 (x to the second power). Then you do it with the rest of foil.
x*x = x^2
x*1 = x
x*3 = 3x
1*3 = 3
x^2 + x + 3x + 3 = X^2 + 4x + 3
The answer would be 6 because by adding the whole numbers, 3+2, you would get 5 and since the fractions both have denominators of 4, you had both fractions, 1/4+3/4, which gives you 4/4 or 1 whole. 5+1=6 and that's your answer.
Hope I Helped!
Answer:
x=1
y=4
(1,4)
Step-by-step explanation:
TO SOLVE FOR X:
1. Substitute y=x+3 into the equation. This should look like this:
3x+5(x+3)=23
2. Use the distributive property.
3x+5x+15=23
3. Simplify:
8x+15=23
4. Subtract 15 from both sides. It should now lool like this:
8x=8
5. Divide both sides by 8.
x=1
TO SOLVE FOR Y:
1. Take x and substitute into original statement:
3(1)+5y=23
2. Simplify:
3+5y=23
3. Subtract 3 from both sides:
5y=20
4: Simplify:
y=4
CHECK ANSWER:
y=x+3
1. Substitute your answers
4=1+3
2. Simplify
4=4
3. Check for Truth. Is 4=4?
Yes. So your final answer is:
x=1
y=4
(1,4)
