an object is translated by (x + 4, y - 2). If one point in the image has the coordinates (5 , -3), what would be the coordinates of it’s pre-image?

Answer:

For the given equation of the line of best fit, the values that complete the table are as follows

An equation for a line of best fit follows the same guidelines as a linear function where 'y' represents the total (value), 'x' represents time (years), -2.9 is the rate, and 17.7 is the starting value.  The table indicates that for any year, there is a given value, but what we are solving for is the predicted value.  The residual is the different between the given and predicted values.  So, for 'a', we need to solve for the 'y' in our equation by replacing 'x' with '1', multiplying by -2.9 and adding 17.7.  This gives us 14.8.  For 'b', we simply need to subtract the given and predicted values to get a residual of 0.1.  For 'c', we again solve for 'y' by replacing 'x' with '3' in our given equation to get 9. And, for 'd' we subtract the given value of 5 and the predicted value of 6.1 to get 1.1.

answer-

a = 14.8

b = 0.1

c = 9

d = -1.1

The answer you seek is

answer-

a = 14.8

b = 0.1

c = 9

d = -1.1

Answer:

31.42

Step-by-step explanation:

I think that's right. Hopefully it is.

Answer:

30 mn

Step-by-step explanation:

You need to calculate :

60 × 50% = 60×(50÷100)

                =3000÷100

                = 30

Answer:

Height of the empire building = 1505.57 ft

Step-by-step explanation:

Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.

The height of the empire can be gotten below.

the adjacent side of the triangle formed  = 100 ft

The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°

Using SOHCAHTOA principle the height can be gotten with the tangential degree.

tan 86.2° = opposite/adjacent

tan 86.2° = a/100

a = 100 tan 86.2

a = 100 × 15.0557227245

a = 1505.57227245

a ≈ 1505.57 ft

Height of the empire building = 1505.57 ft

Answer: 4.87 x 10^9  is greater than 9.212 *10^8

Step-by-step explanation:

4.87 x 10^9  is greater than 9.212 *10^8 because it has the greater exponent.

4.87 * 10^9 =  4,870,000,000

9.212 *10^8= 921,200,000

4,870,000,000 > 921,200,000

Answer:

I have attached the work to your problem below.

I hope this helps!

Answer:

C. 43

Step-by-step explanation:

Explanation:

The given line y = 3x+1 has a slope of 3 as it is in the form y = mx+b

Any line parallel to this given line will also have a slope of 3. Parallel lines have equal slopes but different y intercepts.

Using m = 3 and (x,y) = (4,7), find the value of b

y = mx+b

7 = 3*4+b

7 = 12+b

12+b = 7

b = 7-12

b = -5

We have y = mx+b update to y = 3x+(-5) or y = 3x-5

Plug in x = 4 and you'll have y = 3x-5 turn into y = 7.

complete question:

A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft.  Find the perimeter of the fountain. Round your answer to the nearest tenth.  The picture is represented below.

Answer:

The perimeter of the fountain = 47.1  ft

Step-by-step explanation:

The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.

The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,

perimeter for a full circle = 2πr

Half circle = 2πr/2 = πr

For 2 half circle = πr + πr = 2πr

For 2 half circle = 2πr

r = 10/2 = 5

perimeter for 2 half circle = 2 ×  5 × 3.14 = 31.4  ft

Perimeter for the quarter circle

r = 10 ft

Quarter circle perimeter = 1/4 × 2πr = πr/2

Quarter circle perimeter = (3.14 × 10)/2

Quarter circle perimeter = (31.4)/2

Quarter circle perimeter = 15.7  ft

The perimeter of the fountain = 15.7  ft + 31.4  ft = 47.1  ft

Answer:

47.1

Step-by-step explanation:

47.1

please make me branlyest

Answer:

The answer would be D

Step-by-step explanation:

It is the only one that makes sense ;-;

(hope this is correct)

Answer:

Step-by-step explanation:

Given the expression cos[arccsc((2√3)/3)]

let y = arccsc((2√3)/3)

Taking cosec of both sides we have;

cosecy = cosec[arccsc((2√3)/3)]

cosecy = (2√3)/3

1/siny =  (2√3)/3

sin y = 3/2√3

Rationalizing 3/2√3

= 3/2√3 *√3/√3

= 3√3/2*3

= 3√3/6

= √3/2

siny = √3/2

y = arcsin(√3/2)

y = 60°

Since y = arccsc((2√3)/3) = 60°

cos[ arccsc((2√3)/3)] = cos60°

cos60° = 1/2

Answer:

It is 1/2

Step-by-step explanation:

The student's mark can be expressed as 65%.

To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.

In this case, the student got 78 marks out of a possible 120.

Percentage = (Marks Obtained / Possible Marks) * 100

Percentage = (78 / 120) x 100

Percentage = 0.65 x 100

Percentage = 65%

Therefore, the student's mark can be expressed as 65%.

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Answer:

B) ||

Step-by-step explanation:

saw this on another page and noticed the right answer was missing here

The location of k in Venn diagram is in II region.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.

We have,

k ∈ A ∩ B means k is an element of both A and B.

The region I is or A only and the region I|I is only B.

and, the region II is for those whose share A and B.

Also, zone II is in between zone I and zone III which is both.

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Answer: 1.6 meters deep

Step-by-step explanation:

LxWxH

10x4.5 = 45

45x1.6 = 72

Answer:

[tex]1.6m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

12/75 = 4/25

Step-by-step explanation:

Answer: x = -9

Explanation:

Answer:

-3x and -6x

Step-by-step explanation:

just multiply

Step 1) Divide the figure into separate shapes

Long rectangle: 27 x 5

Triangle: 3 x 4

Middle rectangle: 15 x 7

Small rectangle: 6 x 3

Step 2) Find the area of each shape

Long rectangle: A = 27 x 5 = 135

Triangle: A = 1/2 x 3 x 4 = 6

Middle rectangle: A = 15 x 7 = 105

Small rectangle: 6 x 3 = 18

Step 3) Add all of the areas together

A = 135 + 6 + 105 + 18 = 264 square feet

Hope this helps! :)

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi *2

C = 4pi

Let pi = 3.14

C = 4 * 3.14

C =12.56

Using the pi button

C =12.56637061

Answer:

12.571428...units or [tex]\frac{88}{7}[/tex]

Step-by-step explanation:

Circumference of a circle= [tex]2\pi r[/tex]

Radius(r)= 2 units

∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]

                            = [tex]\frac{88}{7} units[/tex]

                            = 12.571428.....units

Answer:

Buy Two tshirts and a pair of pants....

Step-by-step explanation:

Total purchase -

$9.85 + $56.00 = $65.85

Shipping charges is 20%  -

65.85 * 0.2 = 13.17

Total (including shipping) = $79.02

If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,

Total purchase will be -

$9.85 + $56.00 + $9.85 = $75.70

Puchasing 2 tshirts will be $3.32 cheaper....

Answer:

You should buy a second t-shirt.

Step-by-step explanation:

The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.

The equation of the given hyperbola is; x²/25 - y²/49 = 1

We are given;

Focus = (74, 0)

Asymptote; y = -⁷/₅x

Centered at origin

We are given that the general form of equation of a hyperbola is;

x²/a² - y²/b² = 1

Now, we know that the equations of the asymptotes are;

y = ±(b/a)x

Thus, comparing the above with our asymptote of y = -7/5x gives us;

a = 5 and b = 7

Thus, the equation of the given hyperbola is;

x²/5² - y²/7² = 1

⇒ The equation of the given hyperbola is;

x²/25 - y²/49 = 1

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Answer:

The answer is 5 and 7

Step-by-step explanation:

Answer:

Length of leg ⇒ 12

Step-by-step explanation:

Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this other leg, which we can assign as x;

x^2 + 5^2 = 13^2 ⇒ square 5 and 13,

x^2 + 25 = 169 ⇒ subtract 25 from either side of equation,

x^2 = 144 ⇒ Take square root on either side,

Solution; Length of leg ⇒ 12

Answer:

60 copies

Step-by-step explanation:

Answer: 60 copies

Step-by-step explanation:

Divide the total cost by 4:

272 / 4 = 68

It cost $68 for 1 tire

Answer:

68

Step-by-step explanation:

272/4=68

Answer:

growth rate is the number of times the base repeats

Step-by-step explanation:

We have that the general form of the exponential function is of the type:

f (x) = a ^ x

where "a" is the base and "x" is the exponent.

Therefore, the relation they keep to this exponent would be the growth rate since it is the number of times that the base is repeated, which means that the higher "x" is, the more times "a" is repeated.

The base of the function "a" is the point where the exponential curve cuts the y-axis while the value of "b" determines the rate of a growth rate pf decline rate.

The standard exponential function is expressed as y = ab^x

where:

The base of the function "a" is the point where the exponential curve cuts the y-axis while the value of "b" determines the rate of a growth rate pf decline rate.

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Answer:

D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)

Step-by-step explanation:

See attachment for the figure.

For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).  

For C'', rotating the point (1, 3) 90° clockwise.  This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).

For A''', rotating the point (-4, 2) 180° clockwise.  This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).

For B'', rotating the point (-2, 4) 270° counterclockwise.  This is the similar as rotating the point 90° clockwise.  This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).

Answer:

Volume: 9500 m^3

Step-by-step explanation:

6.4 * 12 = 76.8

76.8 * 12.5 = 9500

Answer:

I attached the work to your problem below.

I hope it helps.

Answer:

I believe both are true

Step-by-step explanation:

Answer:

a) false

b) true

Step-by-step explanation:

25% people spent between 10 and 35

The box shows that 50% of the people spent 10 - 40