Answer:
"The length of the resulting line segment is 20 units because translations preserve length"
Step-by-step explanation:
A translation, in maths, is the movements of a geometric shape/line in certain direction. There is no rotation, re-sizing, or alteration. It simply "moves" the line/shape in a direction. The length is not altered in any way. Translation preserves length, every point just changes place.
When we translate a figure/line, we are simply moving it elsewhere, keeping all else constant.
In this problem, the line segment at hand is 20 units and it is translated 6 units up and 8 units left. So the location of the line changes, but the length is preserved. So, 2nd answer choice is right:
"The length of the resulting line segment is 20 units because translations preserve length"
Answer:
x = -19/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2x + 10 = -4x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 4x on both sides: 6x + 10 = -9
- Subtract 10 on both sides: 6x = -19
- Divide 6 on both sides: x = -19/6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 2(-19/6) + 10 = -4(-19/6) - 9
- Multiply: -19/3 + 10 = 38/3 - 9
- Add/Subtract: 11/3 = 11/3
Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
Answer:
x = 5±√3
Step-by-step explanation:
Equation: (x-5)² = 3
Step 1: Take the square root of both side of the equation
√(x-5)² = ±√3
x-5 = ±√3
Step 2: add 5 to both side of the equation
x-5+5 = 5±√3
x = 5±√3
Hence, from the options above, the right answer is
B. x = 5±√3
Answer:
C
Step-by-step explanation:
nothing lols
Answer:
a = 43
Step-by-step explanation:
If PQ = PR, then P = R
The sum of the angles of a triangle is 180
P+Q+R = 180
47+2a + 47 = 180
Combine like terms
94 + 2a = 180
Subtract 94 from each side
2a = 180-94
2a = 86
Divide by 2
2a/2 = 86/2
a = 43
