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3 years ago

Factor completely. 25 - 64x2

Mathematics

1 answer:

Murljashka [212]3 years ago

3 0

Answer:

Factor 25−64x2

−64x2+25

=(8x+5)(−8x+5)

Answer:

(8x+5)(−8x+5)

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I need help anyone can anyone help

AleksAgata [21]

Answer:

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer

4 0

3 years ago

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A particle moves along a line with acceleration a (t) = -1/(t+2)2 ft/sec2. Find the distance traveled by the particle during the

amm1812

Answer:

$s(t)=(ln|7|+ln|2|)\,ft$

Step-by-step explanation:

Acceleration is second derivative of distance and are related as:

$a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\$

Integrating both sides w.r.to t

$v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\$

Using initial value

$v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}$

We have to calculate the distance covered in time interval [0,5], so:

$\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft$

3 0

3 years ago

You bike 9.8 miles in 1.4 hours at a steady rate.What equation represents the proportional relationship between the x hours you

AlexFokin [52]

Answer:

The equation is $\frac{x}{y}= 8$

Step-by-step explanation:

Let the time for which i bike is = x hours

Let the distance traveled in x hours = y miles

Ratio of distance and time will be = x : y

I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112

then the ratio of distance and time will be same in both the cases

So equation will be

$\frac{x}{y} =\frac{14}{112}\\\\\frac{x}{y} =8$

Hence, equation representing the proportional relationship will be $\frac{x}{y}= 8$

4 0

3 years ago

Which expression represents rational numbers? Select all that apply

Vladimir79 [104]

Answer:

1. $\sqrt{100} \sqrt{100}$

2. 13.5 + $\sqrt{81}$

3. $\sqrt{9} + \sqrt{729}$

6. $\frac{3}{5} + 2.5\\\frac{3+12.5}{5}\\\frac{15.5}{5}\\= 3.1$

These four options are rational;

Step-by-step explanation:

1. $\sqrt{100} \sqrt{100}$ equals to 10 * 10 = 100 which is rational

2. 13.5 + $\sqrt{81}$ equals 13.5 + 9 = 22.5

3. $\sqrt{9} + \sqrt{729}$ -- 3+27 = 30

6. $\frac{3}{5} + 2.5\\\frac{3+12.5}{5}\\\frac{15.5}{5}\\= 3.1$

Option 4 and 5 are irrational because they include $\sqrt{353}$ and $\sqrt{216}$ which are not a perfect square and their answers will be non recurring and non terminating decimal fraction.

5 0

3 years ago

Find the value of the variable and YZ if Y is between X and Z

PIT_PIT [208]

If point Y is between points X and Z, then

XY + YZ = XZ

In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)

So 6b + 8b = 175

Can you finish it?

8 0

4 years ago

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