Suppose the figure above is translated 2 units left and 4 units up. The translated figure is then dilated with a scale factor of 3, centered at the origin. Which is the ordered pair for the image of C?

Answer:  It breaks up into 864+216

Reason:

x = some positive real number

The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080

4x+1x = 1080

5x = 1080

x = 1080/5

x = 216

We can then find 4x = 4*216 = 864

As a check: 864+216 = 1080, so the answer is confirmed.

Answer:

selection 1 ,2

Step-by-step explanation:

Celia. 60km/hr

Tayvin. 50km/hr

Answer:

10cm2

Step-by-step explanation:

Answer:

As AE and BD intersect:

As AB is parallel to ED:

Therefore, we can use SSS Similarity Theorem to find the lengths of the sides:

[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]

[tex]\implies \sf \dfrac{400}{1000}=\dfrac{300}{ED}[/tex]

[tex]\implies \sf 400 \cdot ED=300 \cdot 1000[/tex]

[tex]\implies \sf ED=\dfrac{300000}{400}=750[/tex]

**The length of BC and CD cannot be determined without knowing an angle**

Therefore, the remainder of the calculations are based on the assumption that ∠BAC and ∠DEC are 90°

If ∠BAC = 90° then BC can be calculated using Pythagoras' Theorem

⇒ AB² + AC² = BC²

⇒ 300² + 400² = BC²

⇒ BC² = 250000

⇒ BC = 500

Using the side ratios stated previously:

[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]

[tex]\implies \sf \dfrac{400}{1000}=\dfrac{500}{DC}[/tex]

[tex]\implies \sf 400 \cdot DC=500 \cdot 1000[/tex]

[tex]\implies \sf DC=\dfrac{500000}{400}=1250[/tex]

Therefore, the distance of each side is:

Assuming the sides are the solid lines marked with arrows only:

⇒ Total distance = AB + BC + DC + ED

                            = 300 + 500 + 1250 + 750

                            = 2800 m

Answer:

Parellel: y=-2x+17

Perpendicular: y=2x-3

Step-by-step explanation:

Hope this helps! ;-)

Answer:

Step-by-step explanation:

→Perimeter (P)  = 2×(L+W)              Perimeter = 48m

But Length = 2 × Width

∴ P = 2×( 2W + W)

       = 2×(3W)

  48 = 6W

Divide both sides by 6

          [tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W

∴Width (W) = 8m  

→This means Length = 2W

                                = 2×8m

                             L = 16m

→Area of a rectangle = L × W

                               = 8m × 16m

     ∴ Area of the rectangular field= [tex]128m^{2}[/tex]                  

Answer:

21000

Step-by-step explanation:

2745 -> 3000

6.9 -> 7

3000 x 7 =

21000

Answer:

10 duh

Step-by-step explanation:

Answer:

I can't seem to work out the other two, sorry

Step-by-step explanation:

1. -> c. because there are 10 letters in total and there are 4 vowels, so it would be 4/10, then we'd simplify by 2, and I gives us 2/5

4. -> g. because there are 10 letters so it's 10/10 which gives us 1

Answer:

CEFG

Step-by-step explanation:

1. P = 4/10 = 2/5

2. P= (4/10)(4/10)=16/100=4/25

3. P= (4/10)(3/9) = 12/90 = 2/15

4. P = 12/12 = 1

Hope this helps

Answer:

50

Step-by-step explanation:

1/2 x base x height

In this problem: (It's times 2 because I split it up into 2 triangles.)

1/2 x 10 x 5 x 2 =

50

hope this helps

have a good day

2(1+4)2 x (9-6)3

4(5) x 3(3)

20 x 9

180

Answer:

The price for ounce is: $0.25 and she bought 16 ounces of straberris

Step-by-step explanation:

If you have 16 ounces and its 4 dollars you do 4/16 to get 0.25

Answer: Reflection followed by a translation

Step-by-step explanation:

     First, RST is reflected along the x-axis.

     Then, RST is translated one unit down into R'S'T' giving us what we're looking for.

A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Given that Farhan bought a bag and a wallet at a discount from a store, and he was given a discount of 30% for the bag, and for the wallet, a discount was also given, and he saved a total of $66.60, and he paid a total of $121.40 for the 2 items and paid $46.60 more for the bag than the wallet, to determine A) what was the price of the bag without discount, and B) what was the percentage discount given for the wallet, the following calculations must be performed:

Therefore, A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

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Answer:A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

( 18.4, 4.6 )

Step-by-step explanation:

2x - 6y  = 14

Add 6y to both sides

2x = 6y + 14

divide both sides by 2

             x = (3y + 7)

Substitute this ^ for x in the othe equation

4 (3y + y) - y = 9

distribute the 4

12y + 4y - y = 9

combine like terms

15y = 9

divide both sides by 15

y = 4.6

Now substitute this value for y in the equation we previously substituted .to find the value of x

x = 3 (4.6) + 4.6

x = 13.8 + 4.6

x = 18.4

Hope this makes sense and was helpful!

Answer:

B. 6300

Step-by-step explanation:

Answer:

56.5 ft

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴[tex]\frac{AB}{SinD} =\frac{AD}{sinB}[/tex]

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

So, The length of the tree = 56.5 ft.

The answer is 56.5 ft

Answer:

0.965 to the nearest thousand.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(getting no 3's) = (5/6)^5 = 0.4019

Prob(getting  1 * 3 )   = 5C1(1/6)(5/6)^4 = 0.4019

Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608

So required probability = 2 * 0.4019 + 0.1608

= 0.9646

Answer:

a

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

just calculated and got it

Answer:

15

Step-by-step explanation:

First, change it to multiplication and flip the second fraction

5/3×9/1

Then you multiply 5×9 and 3×1. This gets you 45/3

45/3 can be simplified down to 15 so the answer is 15

Answer:

The value of y is 4.

Step-by-step explanation:

Note the system of equation:

x + y = 24

5y = x

First, plug in 5y for x in the first equation:

x + y = 24

(5y) + y = 24

Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:

(5y + y) = 24

(6y) = 24

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:

(6y)/6 = (24)/6

y = 24/6 = 4

Now, plug in 4 for y in one of the given equations in the system of equation:

x + y = 24

x + (4) = 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:

x + 4 = 24

x + 4 (-4) = 24 (-4)

x = 24 - 4

x = 20

x = 20 , y = 4

~

Check. Use the other equation. Plug in 4 for y, and 20 for x:

5y = x

5(4) = (20)

5 * 4 = 20

20 = 20 (True)

~

The value of y is 4.

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

Plane 2 (48°)

Equate Equations 1 and 2 :

Taking the sin ratio to find distance :

Answer:

(5, -3)

Step-by-step explanation:

Solve for x and solve for y by making each set of brackets equal to 0

Answer:

False,

Step-by-step explanation:

The set that contains no elements is the null set Ф.

Answer: True

Step-by-step explanation: Where all inclusive set comprises of a set of all elements, the purge set contains no elements of the subsets.

The value of x will be equal to 3 for the given expression.

The fraction is defined as the division of the whole part into an equal number of parts.

Given expression is solved as:-

[tex]\dfrac{\dfrac{3}{4} }{\dfrac{6}{x}} = \dfrac{3}{8}[/tex]

[tex]\dfrac{3}{4}\times \dfrac{x}{6}=\dfrac{3}{8}[/tex]

[tex]\dfrac{x}{8}=\dfrac{3}{8}[/tex]

x = 3

The value of x will be equal to 3 for the given expression.

Therefore the value of x will be equal to 3 for the given expression.

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Answer:

Kayla gets $0.77 back, Heidi gets $9.02 back

Step-by-step explanation:

12 - 11.23 = 0.77 (how I got 12 is the $10 dollar bill and TWO $1 dollar bills)

20.25 - 11.23 = 9.02 (how I got 20.25 is the $20 dollar bill and the quarter which is worth $0.25)

Answer:

Step-by-step explanation:

y = a * log_b (x - h) + k

(h,k) = (x,y)

h = shift right/left

k = shift up/down

Original Points of y = log_3

y = log_3 (x + 2)

h = -2 thus shift left.

Asymptote: x = -2
Domain: [-2 , +inf)

Range: (-inf , +inf)