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2 years ago

Factor the following using the difference of squares method

Mathematics

1 answer:

Bond [772]2 years ago

6 0

Answer:

${x}^{2} - 16 \\ = {x}^{2} - {4}^{2} \\ = (x + 4)(x - 4)$

${9y}^{2} - 25 \\ = {(3y)}^{2} - {5}^{2} \\ = (3y + 5)(3y - 5)$

here is the answer hope that will help you

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A toy is shaped as a triangular prism. The toy has a

Anettt [7]

Answer:

$\huge\boxed{\sf h = 6.75 \ in.}$

Step-by-step explanation:

Given Data:

Base area = $A_{B}$ = 108 in.²

Volume = V = 729 in.³

Required:

Height = h = ?

Formula:

$V=A_{B}h$

Solution:

For h, rearranging formula:

$\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}$

4 0

2 years ago

Tickets to a concert cost $50 for each orchestra seat and $40 for each

Vsevolod [243]

Answer:

H. the number of orchestra seat is 900

Step-by-step explanation:

Step one:

let the number of orchestra seat be x

and balcony seat be y

cost of orchestra= $50 each

cost of balcony =$40 each

total tickets= 1500

x+y= 1500----------1

amount earned= $69000

50x+40y=69000--------2

The system of equation for the situation is

x+y= 1500----------1

50x+40y=69000--------2

from 1, x=1500-y

put this in equation 2

50(1500-y)+40y=69000

75000-50y+40y=69000

-10y=69000-75000

-10y=-6000

divide both sides by -10

y=-6000/-10

y=600

put y= 600 in equation 1

x+600= 1500

x=1500-600

x=900

6 0

3 years ago

Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he ca

liberstina [14]

Answer:

The greatest number of song he can practice in a week is 2.

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is $x$

He practices each song for $3\frac{1}{2}$ hours. So, the total time required for practicing $x$ number of songs $= (3\frac{1}{2}*x)$ hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

$3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2$

(Rounded as the greatest whole number)

Thus, the greatest number of song he can practice in a week is 2.

4 0

2 years ago

Read 2 more answers

Please calculate the probability using the following equations (in document)

labwork [276]

Substitute u = t ³/2592 and du = t ²/864 dt. Then

$P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du$

The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives

$P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}$

4 0

3 years ago

Given the sequence 1,3,5,7, find the next terms

bekas [8.4K]

9,11,13,15,17,19,21,23

3 0

3 years ago