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2 years ago

If possible, factor 169x^2 − y^2.

Mathematics

1 answer:

Mama L [17]2 years ago

7 0

Answer:

(13x - y)(13x + y)

Step-by-step explanation:

Both 169x^2 and y^2 are perfect squares.

The (special) rule for factoring the difference of two squares is

a^2 - b^2 = (a - b)(a + b).

Therefore, 169x^2 and y^2 = (13x - y)(13x + y)

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You've received an invoice for $3,000 with terms of 3/10, 1/20, n/30. How much will you have to pay if you pay the bill in 12 da

Veronika [31]

Hi there

3/10 means if you pay the bill within 10 days you will get a discount for 3%

1/20 means if you pay the bill within 20 days you will get a for 1%

N/30 means if you pay the bill within 30 you will not get any discount

you paid the bill within 12 days soso you will get a discount for 1%

3,000−3,000×0.01
=2,970

Hope it helps

4 0

3 years ago

The motion of a weight that hangs from a spring is represented by the equation h=8sin(2pi/3t). It models the weight’s height abo

8090 [49]

Answer:

at t = 5.4485 units (maybe seconds, but it is not given)

Step-by-step explanation:

In the equation, h is the height above/below the rest position and t is the time.

Since we want to know WHEN (t) will it be 3 INCHES ABOVE (h = +3), we can simply plug in 3 into h and solve for t. Shown below:

$h=8Sin(\frac{2\pi}{3t})\\3=8Sin(\frac{2\pi}{3t})\\\frac{3}{8}=Sin(\frac{2\pi}{3t})\\\frac{2\pi}{3t}=Sin^{-1}(\frac{3}{8})\\\frac{2\pi}{3t}=0.3844\\2\pi=1.1532t\\t=\frac{2\pi}{1.1532}\\t=5.4485$

Hence,

At t = 5.4485 seconds (no unit of time is given, i am assuming seconds), the height of the weight will be 3 inches above the rest position.

6 0

3 years ago

Read 2 more answers

Recall the formula from Lesson 3.2 used to find Jenna’s cost to drive her own car for work. In this formula, J= Cost of driving

Vedmedyk [2.9K]

Answer:

Cost of driving Jenna's car is $0.293 per mile when the price of gas is $3.23 per gallon.

Step-by-step explanation:

Expression given in the question is not correct, it is actually

$J=\frac{g}{22}+0.146$

Since expression that represents Jenna's cost to drive her car for work is

$J=\frac{g}{22}+0.146$

Where J = cost of driving Jenna's car

g = cost of gas

We have to find the cost of driving Jenna's car when the price of gas is $3.23 per gallons.

Now we plug in the value of g = $3.23 per gallon in the given expression.

$J=\frac{3.23}{22}+0.146$

= 0.1468 + 0.146

= 0.2928

≈ $0.293 per mile

Therefore, cost of driving Jenna's car is $0.293 per mile when the price of gas is $3.23 per gallon.

7 0

3 years ago

Find the leg of an isosceles right triangle when the hypotenuse measures 8

xz_007 [3.2K]

Answer:

4 $\sqrt{2}$

Step-by-step explanation:

ratio of leg to hypotenuse in a 45-45-90° triangle is 1 : $\sqrt{2}$

we can use this proportion to solve the problem:

let 'x' = leg

x/8 = 1/ $\sqrt{2}$

cross-multiply:

$\sqrt{2}$ x = 8

x = 8 / $\sqrt{2}$

if you multiply top and bottom by $\sqrt{2}$ you will get 4 $\sqrt{2}$

7 0

3 years ago

Solve the system of equations below.<br> (2x + 2y = 12<br> 13x+2y =17

vivado [14]

Answer:

2³ +2³= 12.

13¹ + 2² = 17

Step-by-step explanation:

2 x 3 is 6 and 6 + 6 is twelve and 13 x 1 is 13 and 2 x 2 is 4 making it 17 hope this helps

6 0

2 years ago