Answer:
The velocity in meter per seconds is 76.9m/s
Step-by-step explanation:
The total distance walked is 1000m
Velocity= distance/time
= 1000/13
= 76.9m/s
The speed and velocity is used interchangeably therefore the speed is also 76.9 m/s
Solution:
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
{((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}
Done!
Answer:
*Assuming that the question should read '8 years less than 3 times Danielle's age'*
Equation: 3a - 8 = 34, where 'a' = Danielle's age
Danielle's age (a) = 14
Step-by-step explanation:
Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.
Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:
3a - 8 = 34
Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42
Divide both sides by 3: 3a/3 = 42/3
Solve for a: a = 14, so Danielle's age is 14 years old.
Answer:
c.
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