The answer
a) the main rule for transformations <span>Rx-axis is as following
original (x, y) --------------- the final coordinates become (x, -y)
so the answer is </span><span>A' (2, -5), B' (4,-6) and C' (3,-1)
b) just put the figure of y= 3, and check the value after projection
it is </span> A' (2, 1), B' (4,0) and C' (3,4)
c) <span>T<-2,5>, the main rule is as following
T(a, b) ----- applying on (x, y) is (a+x, b+y) for the transformed points
in our case, </span><span>A' (0,10), B' (2,11) and C' (1,6)
d) the same method as above for </span><span>d. T<3,-6>, we found
</span><span>A '(5,-1), B '(7,0) and C ' (6,-5)
</span>
Answer:
WX
Step-by-step explanation:
The distance between vertex X and vertex W is much smaller then from X to Y or W to Y.
Answer:
D. x = √119
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to find the missing side.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = 12
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: 5² + x² = 12²
- Isolate <em>x</em> term: x² = 12² - 5²
- Exponents: x² = 144 - 25
- Subtract: x² = 119
- Isolate <em>x</em>: x = √119
(a) 2x + 3x - 6 = 10 + 4x ---> Answer: x = 16, it has one solution, it is an identity.
Adding the like terms on the same side of the equation to solve for x:
2x + 3x - 4x = 10 + 6
x = 16
(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction
Adding the like terms on the same side of the equation to solve for x:
5x - 4x - x = 23 - 17 - 6
5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)
(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.
Adding the like terms on the same side of the equation to solve for x:
7x - 5x - 2x = -10 + 8 - 4
7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.
Answer:
x=100°
Step-by-step explanation:
Sum of all angles in a quadrilateral=360
60+x+x+x= 360
60+3x= 360
3x= 360-60
3x=300
x=100
Hope it helps :-)