Which expression is equivalent

Answer: 10n^2 - 10

Step-by-step explanation:

(5n - 5)(2+2n) becomes (5n-5)(2n+2)

= (5n)(2n) + (5n)(2) + (-5)(2n) + (-5)(2)

= 10n^2 - 10

Answer:

the area!!!

Step-by-step explanation:

2(a+b)h

to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.

5ft + 48ft = 53ft.

put in the formula, the area is then

2(48+53)*13

am not with a calculator.... so sort it out....

I think you can get the rest with this...

Answer:

9.3

Step-by-step explanation:

Answers:

The value of x is exact. The y value is approximate.

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

Explanation:

Let's subtract the equations straight down.

After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.

Plug this x value into any of the two original equations to solve for y

9x + 7y = 48

9(0) + 7y = 48

7y = 48

y = 48/7

y = 6.857 approximately

y = 6.9

Answer:

6s-36 is the answer . Hope this helps you.

Answer:

6(x-6) = 6x-36

Step-by-step explanation:

Answer:

FG = 16

Step-by-step explanation:

F___M___G

FG = FM+MG

FG = ( 5y +13 ) + (5-3y)

FG = 2y + 18

FM = MG

5y +13 = 5-3y

5y +3y = 5 - 13

8y = - 8

y = -8/8

y = – 1

FG = 2y + 18 = 2(-1) + 18 = – 2 + 18 = 16

I hope I helped you^_^

To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].

To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex].  In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].

Side note:

It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).

Answer:

Step-by-step explanation:

The data in the table shows quantity increase with the price increase and we want to analyze the relationship between price and quantity.

The data indicates a positive slope if we keep price on x-axis and quantity on y- axis.

Option C is reflecting this and correctly highlighted.

Answer:

Option C

Step-by-step explanation:

Because as we can see y is increasing with respect to x

So the slope is positive

The line should go up rightwards

Hence option C is correct

The number of tiles needed to cover the floor is 256 tiles.

The given parameter:

the length of a side of the floor = 8 feet

the length of a side of the tile, = 6-inches

To find:

Convert the unit of the floor to inches

1 ft = 12 inches

8 ft = (8 x 12) = 96 inches

The area of the floor = 96 in x 96 in

The area of the floor = 9216 in²

The area of a tile = 6 in x 6 in

The area of a tile = 36 in²

The number of tiles needed to cover the floor:

[tex]number \ of \ tiles = \frac{Area \ of \ floor}{Area \ of \ a\ tile} = \frac{9216}{36} = 256 \ tiles[/tex]

Thus, the number of tiles needed to cover the floor is 256 tiles.

Learn more here: https://brainly.com/question/17182640

a) The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].

b) The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].

a) In this part we simplify the equation of the circle and solve for [tex]x[/tex] to determine the coordinates associated to the required points:

The coordinates of the two points so that circle intersects the x-axis, occurs when the following condition is met:

[tex]f(x, 0) = 0[/tex] (1)

Where [tex]f(x,y)[/tex] is in implicit form.

If we know that the equation of the circle is [tex]x^{2} + y^{2} - 4\cdot x + 6\cdot y - 77 = 0[/tex] and [tex]y = 0[/tex], then the reduced equation is:

[tex]x^{2} - 4\cdot x - 77 = 0[/tex] (2)

And we obtain the x-coordinates of the points by factoring (2):

[tex](x-11) \cdot (x + 7) = 0[/tex]

The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].

b) Lines are defined by both slope and intercept. Slope is defined by implicit differentiation and intercept is found by equation of the line.

Given that [tex]A(x,y) = (11, 0)[/tex] and [tex]B(x,y) = (-7, 0)[/tex], we determine line equations corresponding to each tangent line:

Slope

[tex]2\cdot x + 2\cdot y \cdot \dot y - 4 + 6\cdot \dot y = 0[/tex]

[tex](2\cdot y + 6)\cdot \dot y = 4 - 2\cdot x[/tex]

[tex]\dot y = \frac{2 - x}{y + 3}[/tex]

Point A

[tex]\dot y = \frac{2-11}{0 + 3}[/tex]

[tex]\dot y = -3[/tex]

Point B

[tex]\dot y = \frac{2-(-7)}{0 + 3}[/tex]

[tex]\dot y = 3[/tex]

Intercept

Point A ([tex]A(x,y) = (11, 0)[/tex], [tex]\dot y = -3[/tex])

[tex]b = y - m\cdot x[/tex]

[tex]b = 0 - (-3)\cdot (11)[/tex]

[tex]b = 33[/tex]

Point B ([tex]B(x,y) = (-7, 0)[/tex], [tex]\dot y = 3[/tex])

[tex]b = y - m\cdot x[/tex]

[tex]b = 0 - 3\cdot (-7)[/tex]

[tex]b = 21[/tex]

The equations of the lines tangent to the circle are:

[tex]y = -3\cdot x +33[/tex] (3)

[tex]y = 3\cdot x +21[/tex] (4)

The point of intersection is the solution of this system of linear equations:

[tex](x,y) = (2, 27)[/tex]

The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].

We kindly invite you to see this question on circles: https://brainly.com/question/23988015

Answer:

70 feet above the water will it begin to stretch.

Step-by-step explanation:

200 - 130 = 70

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 336

=392

*Brackets mean to multiply.

Answer:

82.6

Step-by-step explanation:

First you add 53 and 29 which equals 82 then you do 4 plus 2 which equals 6 and so the answer is 82.6

We have to find derivative of t

[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]

[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]

[tex]\\ \sf\longmapsto 6t-12[/tex]

Now

[tex]\\ \sf\longmapsto 6(8)-12[/tex]

[tex]\\ \sf\longmapsto 48-12[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

Answer:

256

Step-by-step explanation:

1,4,16,64,256

As 4 is being multiplied in each case.

Answer:

-31+(-42)= -31-42 = -73

38+(-43)= 38-43 = -5

(-) - (-) = +

(-)+(-) = +

(-)+(+) = -

Answer:

last one

Step-by-step explanation:

please mark this answer as brainlist

Answer:

6+[25=(-0.9)]

6+[-22.5]

-16.5

Step-by-step explanation:

the answe of this question will be -16.5

Answer:

G) tan 60 = opp / adj = 30 / x

which equals

1.7321 = 30 / x

x = 30 / 1.7321

x = 17.3200161653

H)  secant = hyp / adj

secant 30 = 16 / x

1.1547 = 16 / x

x = 16 / 1.1547

x = 13.8564

Here's a good site for trig functions :  http://www.1728.org/trigcalc.htm

Step-by-step explanation:

Hello :D

The answer is 0.08

I hope this helps :)

Answer:

4 digits keep repeating

7569

[tex]  \boxed{ \boxed{explanation}}[/tex]

By observing the given number with it's decimal expansion, we can say that there are four numbers which are repeating after the decimal.

i.e 7569.

So, 4 is the correct answer

9514 1404 393

Explanation:

If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.

__

  [tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]

We assume that you know dividing by 10 moves the decimal point one place left.

Answer:

D

Step-by-step explanation:

multiply each number by 40

ex:

.10x40=40

Answer:d

Step-by-step explanation:

9514 1404 393

Answer:

  64

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  -8u = -8(-8) = 64

Answer:

x = 6

y = - 3

Step-by-step explanation:

x * y = - 18

x - y = 9. 3-y-y = 9. 3 -2y = 9.

-2y = 9-3

y = 6/-2

y = -3

x + y = 3. x = 3-y

x * -3 = - 18

x = -18/-3

x = 6

Answer:

$70.399.62

Step-by-step explanation:

To find the final amount, we have to use the compound interest formula

A = P(1 + r/n)ⁿˣ

A = Final amount

P = Starting amount (65,000)

r = rate (0.02)

n = time applied (4 since it's quarterly, meaning 4 times every year)

x = years (4)

Our equation will look like this

A = 65,000(1 + 0.02/4)¹⁶

You should use a calculator to plug to solve 65,000(1 + 0.02/4)¹⁶

A = 70,399.62483294155