Use translation (x,y) to (x-8, y+4)
What is the image of A (2,6)

Work Shown:

[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]

the equation can not be factored ^

Answer:

the surface area of the prism is equal to 202 m^2

Step-by-step explanation:

The surface area of the prism is equal to

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

B=LW=4*5=20m^2

Find the perimeter of the base P

P = 2(L+W) = 2 (4+5) = 18 m

Find the surface area ----> 

SA = 2B + Ph = 2(20) + 18(9) = 202 m^2

btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)

Answer:

$399.75

Step-by-step explanation:

6.5% of $6,150 =

= 0.065 × $6,150

= $399.75

Answer: $399.75

He had to pay $399.75

formula:  Tax = Tax Rate * Purchase Price

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

[tex]\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

[tex]\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}[/tex]   (2)

[tex]\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}[/tex]   (3)

Where [tex]\theta[/tex] is resultant angle, measured in degrees.

If we know that [tex]\|\vec u\| = 90[/tex], [tex]\theta_{u} = 40^{\circ}[/tex], [tex]\|\vec v\| = 60[/tex], [tex]\theta_{v} = 20^{\circ}[/tex], [tex]\|\vec w\| = 40[/tex] and [tex]\theta_{w} = 30^{\circ}[/tex], then the resultant, its magnitude and its direction:

[tex]\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})[/tex]

[tex]\vec r = (-54.824, 18.531)[/tex]

[tex]\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}[/tex]

[tex]\|\vec r\| \approx 57.871[/tex]

[tex]\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)[/tex]

[tex]\theta \approx 198.676^{\circ}[/tex]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. [tex]\blacksquare[/tex]

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Answer:

$703.04

Step-by-step explanation:

The equation for this is 625 x [tex]1.04^{years\\}[/tex].

So using the formula 625 x [tex]1.04^{3}[/tex] = $703.04

Answer:

$703.04

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\implies \sf A=625(1+\frac{0.04}{1})^{3}[/tex]

[tex]\implies \sf A=625(1.04)^{3}[/tex]

[tex]\implies \sf A=703.04[/tex]

Answer:

The answer is 1

Step-by-step explanation:

5w² – 5w = 0

Add 5w both side

5w² – 5w + 5w = 5w – 5w

5w² = 5w

Now, Divide both side by 5w we get,

5w²/5w = 5w/5w

w = 1

Thus, The value of w is 1

Answer:

w = 1

Step-by-step explanation:

Given :

Bring 5w to the other side.

[tex]\dfrac{7^{12} \cdot 7^9}{\left(7^6 \right)^3}\\\\\\=\dfrac{7^{12+9}}{7^{18}}\\\\\\=\dfrac{7^{21}}{7^{18}}\\\\\\=7^{21-18}\\\\\\=7^3\\\\\\=343[/tex]

Answer:

342.9385905398

I’m too lazy to put in any more so ya

Step-by-step explanation:

We solve the top first.

7^12 x 7^9

13,841,287,201 x 40,353,607

558,545,864,083,284,007

The bottom is (7^6)^3

(7^6)^3

(7^18)

1,628,413,597,910,449

558,445,864,083,284,007 divided by 1,628,413,597,910,449

342.9385905398

I’m too lazy to put in any more so ya

Answer:

72 + 12x

Step-by-step explanation:

Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)

Here, a = 12 ; b = 6 & c = x

12( 6 + x) = 12*6 + 12*x

               = 72 + 12x

Answer:

D

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex], while the diameter of a circle is 2r. [tex]\frac{2\pi r}{2r} = \pi[/tex]

Answer:

2,3

Step-by-step explanation:

Answer: (2,3)

Step-by-step explanation:

add the two x’s and divide them then do the same with your y’s.

Answer: sqrt(182)

Step-by-step explanation:

ΔEDF is congurent with ΔBDC

DE/EF = DB/BC

The length of the ED is √182.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

EF is parallel to BC.

This means,

ΔEDF is congurent with ΔBDC

So,

DE/EF = DB/BC

BC = 2ED

DB = 26

EF = 14

Now,

DE/EF = DB/BC

DE/14 = 26/2ED

2ED² = 14 x 26

ED² = 7 x 26

ED = √182

Thus,

The length of the ED is √182.

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Answer:

G

Step-by-step explanation:

Volume of a triangular prism = area of the base x height

(where the "bases" are the triangles)

Area of a triangle = 1/2 x base x height

Given:

⇒ area of base of prism = 1/2 x 3.1 cm x 4.8 cm = 7.44 cm²

Given:

⇒ Volume of the prism = 7.44 cm² x 2.6 cm = 19.344 cm³

The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

From the given right angles triangle, we have the following parameters;

<A + 48 + 90 = 180 (sum of angles in a triangle)

<A =180 - 138

<A = 42 degrees

Using the SOH CAH TOA identity

sin48 = b/26

b = 26sin48

b = 19.3

For the value of a

sin42 = a/26

a = 26sin42

a = 19.3

a =17.4

Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively

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The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is given by this equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

The sixth step in the derivation is:

[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]

The seventh step in the derivation is:

We would take the square of both sides to have;

[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The eigth step in the derivation is:

We would substract b/2a from both sides to have;

[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The ninth step in the derivation is:

We would find the lowest common multiple (LCM) to have;

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

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Answer:

H(d) = 0.3d + 12

Step-by-step explanation:

It started at 12 inches.

Then it grew 0.3 inches per day.

Let d = number of days.

The growth is 0.3 d.

Add the growth to the original length, to get 0.3d + 12.

Answer: H(d) = 0.3d + 12

Answer:

The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.

Step-by-step explanation:

Answer:

30 m is the original, and 60 m would be expanded

Step-by-step explanation:

perimeter=l+w+l+w so 12+3+12+3=30 and you could multiply that by 2 to make it 60m i believe

1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry

Answer:

3

Step-by-step explanation:

8x-6>12+2x

-2x            -2x

_______________

6x-6 >12

   +6    +6

____________

6x > 18

/6      /6

____________

x > 3  

Hope this helps :)

The solution to the inequality  8x - 6 > 12 + 2x is, 3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 8x - 6 > 12 + 2x.

Separating the variable and constants to the other sides we have,

8x - 2x > 12 + 6.

6x > 18.

x > 3.

learn more about inequalities here :

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Answer:

4/3

Step-by-step explanation:

f(2) = (-2*2)^2 / (7(2))-4)

f(2) = (-4)^2 / 14-4

f(2) = 16 / 12

f(2) = 4 / 3

The value of the difference of the functions is 3t^2/3

The difference in the growth of the specimen is 3t^2/3

Expoenential functions are written in the form y= ab^x

Given the following expoenential functions

A(t) = 5/6t^2/3

B(t) = 1/3t^2/3

a) Determine the function (A-B(t)

(A-B)(t) = A(t) - B(t)

Substitute

(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3

b) This means that the difference in the growth of the specimen is 3t^2/3

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Answer:

  (3 +1.5π) ft ≈ 7.71 ft

Step-by-step explanation:

We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:

  P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference

  P = d(1 +π/2)

  P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π

The perimeter of the figure is about 7.71 feet.

__

In terms of pi, the perimeter is ...

  P = (3 +1.5π) ft

Answer:

D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle

Answer:

B

Step-by-step explanation:

Answer:

-31

Step-by-step explanation:

substitute- y-8b = -7-8(3)

8(3)=24

-7- -24=

solve- -31

Answer:

-31

Step-by-step explanation:

Given

binomial: y - 8b

y = - 7

b = 3

Solution

-7 - 8(3)       Substitute 3 in for b and - 7 in for y

-7 - 24         Combine -8 and 3 (which is - 24

-31               Answer. - 31

Answer:

39

Step-by-step explanation:

You find the area by multiplying the length times the height which is what I did 13 x 3 = 39

Answer:

the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle

Step-by-step explanation:

for the equation to be true we must first identify the shapes used.

the shapes used include  

now that we know the shapes we must find out which shapes are shaded

now we know which shapes are shaded we can now form the equation to find the area

i will turn the shapes into varibles so its easier on my brain and yours

we can know use the info gathered earlier to create the equation

shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)

or in other words with the variables

A=( h-p )+( s-t )

if your still not convinced see the attached image

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