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avanturin [10]
3 years ago
13

If x-y doesn't equal 0 then x^2-y^2 / x-y =

Mathematics
1 answer:
NARA [144]3 years ago
3 0
Recognize the differnce of 2 perfect squares

a²-b²=(a-b)(a+b)

so
\frac{x^2-y^2}{x-y}=\frac{(x-y)(x+y)}{x-y}=(\frac{x+y}{1})(\frac{x-y}{x-y})=(x+y)(1)=x+y
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Before lunch started the ratio of pizza to cookies is 5 to 6 and there was total of 99 pizzas and cookies
kow [346]

Answer:

72 pizzas were eaten

Step-by-step explanation:


5 0
3 years ago
What is yhe answer?????​
myrzilka [38]

161%

Step-by-step explanation:

They are asking percentage so we know we going to ×100%

4943 AS A PERCENTAGE OF 3076

\frac{4943}{3076}  \times 100

161%

8 0
3 years ago
The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s
Norma-Jean [14]

The positions when the particle reverses direction are:

s(t_1)=55ft\\\\s(t_2)=28ft

The acceleraton of the paticle when reverses direction is:

a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

s(t)=2t^{3}-21t^{2}+60t+3

So,

- Derivating to get the velocity function, we have:

v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42

Now, substituting the times to calculate the accelerations, we have:

a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}

Now, substitutitng the times to calculate the positions, we have:

s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft

Have a nice day!

3 0
3 years ago
The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?
bekas [8.4K]

Answer:

B. 8ft

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w) where l is the length and w is the width

Substituting in the given values

48 = 2(16+w)

Divide each side by 2

48/2 = 2/2(16+w)

24 = 16+w

Subtract 16 from each side

24-16 =16+w-16

8 =w

6 0
3 years ago
Solve for x<br><br> x+0.15x=3.45
otez555 [7]
Answer: x should equal 3
5 0
3 years ago
Read 2 more answers
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