Answer:
See the answers in the explanation
Step-by-step explanation:
Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?
time= 29 seconds
speed= 7.2 m/s
distance= speed*time
distance= 7.2*29
distance=208.8
m
Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?
time= 26 seconds
distance= 240meters
velocity= distance/time
velocity= 240/26
velocity=9.23 m/s
Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?
time= 33 seconds
velocity
distance=velocity*time
distance=33*6.1
distance= 33*6.1
distance=201.3
m
Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?
time= 38 seconds
distance= 295m
velocity= distance/tim
velocity= 295/38
velocity= 7.76m/s
Answer:
9. a = -7
10. x = 1
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>
a + 6a - 14 = 3a + 6a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms: 7a - 14 = 9a
- Subtract 7a on both sides: -14 = 2a
- Divide 2 on both sides: -7 = a
- Rewrite: a = -7
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
- Multiply: -7 - 42 - 14 = -21 - 42
- Subtract: -49 - 14 = -63
- Subtract: -63 = -63
Here we see that -63 is equal to -63.
∴ a = -7 is a solution of the equation.
<u>Step 4: Define equation</u>
-12 - 4x = 8x + 4(1 - 7x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Distribute 4: -12 - 4x = 8x + 4 - 28x
- Combine like terms: -12 - 4x = -20x + 4
- Add 20x on both sides: -12 + 16x = 4
- Add 12 on both sides: 16x = 16
- Divide 16 on both sides: x = 1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -12 - 4(1) = 8(1) + 4(1 - 7(1))
- Multiply: -12 - 4 = 8 + 4(1 - 7)
- Subtract: -16 = 8 + 4(-6)
- Multiply: -16 = 8 - 24
- Subtract: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 1 is a solution of the equation.
the answer is D.
I dont know how to add work for a question like this, however, I know how I'd show work....
Draw a graph and stick a point in the IV quadrant and label it "original". Then next to it, draw another graph and stick a point in the III quadrant and label it "reflection"
TIP: if you do that, make sure the points are in the same location in each quadrant
Answer:
39+4x
Step-by-step explanation:
Since two opposites add up to zero, remove them from the expression
2x3-5x+2+4x2+6x-2x+7x5
Calculate the sum or difference
39+6x-2x
