What is (a^2-b^2) factored out?

9514 1404 393

Answer:

  a) $336

  b) $1036

Step-by-step explanation:

a) The interest is computed using the formula ...

  I = Prt

where P is the amount invested at rate r for t years.

  I = $700·0.08·6 = $336

The interest earned is $336.

__

b) The balance of the account is the sum of the original amount and the interest earned:

  balance = $700 +336 = $1036

The balance of the account is $1036.

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]

Answer:

the expression to find the shaded region : 14x+21

Step-by-step explanation:

(x+5)² - (x-2)² solve by distribution

7(2x+3)

14x+21

Answer:

14x+21

Step-by-step explanation:

(x+5)² - (x-2)²

7(2x+3)

14x+21

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

I have no idea what it is sorry

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

Answer:

Read explanation!

Step-by-step explanation:

A = $0.89

B = $0.92

C = $0.94

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

Answer:

5.2 ft

Step-by-step explanation:

[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]

Answer:

drivers license do you like that song?

Step-by-step explanation

I got my driver's license last week

Just like we always talked about

'Cause you were so excited for me

To finally drive up to your house

But today I drove through the suburbs

Crying 'cause you weren't around

And you're probably with that blonde girl

Who always made me doubt

She's so much older than me

She's everything I'm insecure about

Yeah, today I drove through the suburbs

'Cause how could I ever love someone else?

And I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

And all my friends are tired

Of hearing how much I miss you but

I kinda feel sorry for them

'Cause they'll never know you the way that I do

Yeah, today I drove through the suburbs

And pictured I was driving home to you

And I know we weren't perfect but I've never felt this way for no one

Oh, and I just can't imagine how you could be so okay now that I'm gone

I guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Red lights

Stop signs

I still see your face

In the white cars

Front yards

Can't drive past the places

We used to

Go to

'Cause I still f- love you, babe

Sidewalks

We crossed

I still hear your voice

In the traffic

We're laughing

Over all the noise

God, I'm so blue

Know we're through

But I still f- love you, babe

I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Yeah, you said forever now I drive alone past your street

Answer:

b

Step-by-step explanation:

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

Answer:5

Step-by-step explanation:

because idrk my teacher just answered this question and i thought i would share :)

Answer:

a. 311 hours

b. i. $3,100 in receipts  

   ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

= 311 hours

b. In 311 hours, the total receipts would be:

= 311 * 10

= $3,110

The expenses would be:

= 311 * 9

= $2,799

Answer: 24 km/h

Step-by-step explanation:

She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h

Answer:

9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

1/56

Step-by-step explanation:

ploz brainliestt

Answer:

I believe its -82

Step-by-step explanation:

5 × -8 + 7 × -3 = -82

Answer:

64.93=4.73x+22.36

Step-by-step explanation:

64.93 is how much he paid

22.36 is his constant

4.73 is for 1 call

Answer:

Rewrite (Lambert form):

[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]

Simplify :

[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]

Solve:

[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]

Result:

[tex]x=2,\:x=1[/tex]

Hope this helped u :)

If this was too complicated I can edit it for you.

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

===================

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Answer:

x = 2°

Step-by-step explanation:

x + 2x + 30 = 180°

3x + 30 = 180°

3x = 180°/30°

3x = 6°

x = 6°/3°

x = 2°

Given:

[tex]\Delta UVW\sim \Delta USR[/tex]

To find:

The missing length marked with a question mark.

Solution:

Let x be the missing value.

We have,

[tex]\Delta UVW\sim \Delta USR[/tex]

Corresponding sides of similar triangles are proportional, so

[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]

Using this, we get

[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]

On substituting the values, we get

[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]

[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]

On cross multiplication, we get

[tex]70\times 4=5\times x[/tex]

[tex]280=5x[/tex]

[tex]\dfrac{280}{5}=x[/tex]

[tex]56=x[/tex]

Therefore, the missing length is 56 units.

Answer:

ye

Step-by-step explanation:

sorry!