In the coordinate plane, the point A(-4, 0) is translated to the point A'(0, -4). . Under the same translation, the points B(-8, 3) and C(-1, -3) are translated to B' and C', respectively. What are the coordinates of B And C'?

Answer:

Here we have:

g(x) = 3*f( 2*x - 2) - 1

We want to know the horizontal translation used here.

We need to discuss two types of transformations here.

horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

if N is negative, the translation is to the right.

if N is positive, the translation is to the left.

Horizontal dilation.

For a function f(x) an horizontal dilation of scale factor k is written as:

g(x) = f( x/k)

You can see that in our function we have both of these transformations.

Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have

translation:

g(x) = f(x + N)

and now a horizontal dilation of scale factor k

g(x) = f( (x + N)/k)

Then we must have that the argument of the above function is the same as the argument of the given function.

(x + N)/k = 2*x - 2

then:

k = 1/2

(x + N)/1/2 = 2*x + 2*N = 2*x - 2

2*N = -2

N = -2/2 = -1

This means that we have a translation of 1 unit to the right.

Answer:36

Step-by-step explanation:

Answer:

Easy. The smaller is x/2.

Step-by-step explanation:

2 times is larger, so larger divided by 2 is the smaller.

Answer:

This is the famous "Ice cream cone" problem.   notice that if you turn the object 90° counter clock wise , it looks like an ice cream cone.   anyway

Step-by-step explanation:

the two triangles on the pointy end make a box , if you put them together, so it's a box of 4 x 11 or 44 [tex]in^{2}[/tex].

then the actual box part in the middle it's 3 x 8 or 24 [tex]in^{2}[/tex].

and finaly the ice cream :P  or the round part. well half round part.

it's half of a circle..(we don't really know if the arc is really a circle from the problem but I'm guessing that we are supposed to assume that it is )  and the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]  

then [tex]\pi[/tex]*[tex]4^{2}[/tex] = 50.2655 which is the entire circle but we only have half.. so divide by 2   = 25.1327 [tex]in^{2}[/tex].

add the 3 parts

93.1327 [tex]in^{2}[/tex].

that's the total area of the  "ice cream cone"

now just multiply by 3.1 to find the cost of the flooring

$  288.71    

Hope that helps  :)

Answer: Miranda can buy 18 dolls.

Step-by-step explanation:  Equation: 45 divided by 2.50

Answer:

Step-by-step explanation:

Answer:

Look Below

Step-by-step explanation:

2. X - 5 = -2 / X = 3

3. 2X = 10 / X = 5

4. 5X + 10 = 10 / X = 0

If you find any fault in my answers please let me know! Thanks! Have a good day! Hope this helps!

Answer:

12

Step-by-step explanation:

negative times a negative equals a positive.

so, 6 times 2 is 12.

Answer: 12

Step-by-step explanation:

Negative number multiplied by negative numbers get you to positive numbers so 6x2 is going to get you to 12. I think someone said this before me but here you go!

Answer:

∠v = 76°

Step-by-step explanation:

since it is an isosceles triangle, both angles at the top of the picture are 52°.

∠v = 180° - 52° - 52° = 76°

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Answer:  70

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = rise / run = 7 / 1 = 7

m = 7

y-intercept = 0

So:

y = 7x + 0

y = 7x

Answer:

6x² + 7x - 49

53×47 = 2491

Step-by-step explanation:

(3x-7)(2x+7)

6x² + 21x - 14x - 49

combine like terms:

6x² + 7x - 49

Answer:

145.1327

Step-by-step explanation:

Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).

Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])

8 * 15 = 120

Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve

[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]

[tex]=\frac{(pi)(4)^2}{2}[/tex]

[tex]=\frac{(pi)16}{2}[/tex]

[tex]=8(pi)[/tex]

~25.1327

Now add up the two values,

120 + 25.1327

= 145.1327

Answer:

y=7+4 and y=7+3

Step-by-step explanation:

Answer:

Length of wire required for 5 fold of garden = 14 km

Step-by-step explanation:

Given:

Length of rectangle garden = 0.8 km

Width of rectangle garden = 0.6 km

Find:

Length of wire required for 5 fold of garden

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of garden = 2[0.8 + 0.6]

Perimeter of garden = 2[1.4]

Perimeter of garden = 2.8 km

Length of wire required for 5 fold of garden = 5 x Perimeter of garden

Length of wire required for 5 fold of garden = 5 x 2.8

Length of wire required for 5 fold of garden = 14 km

Answer:

The graph is all of the plane on and to the right of the vertical line whose equation is x=-3.  Take two points whose x-coordinates are -3, say (-3,-3), and (-3,3),  connect with a straight line.

Step-by-step explanation:

Answer:

I'm pretty sure this is the answer....

The speakers are $56.

Sorry if i'm wrong. :')

Step-by-step explanation:

Answer:

You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?

First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.

Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:

0.350 x $160 = $56.00.

So for this sale, you'll save $56.00 on this item.

This means, the cost of the item to you is

$160 - $56.00 = $104.00.

Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).

Now what's 65.000% of the total cost?

0.650 x $160 = $104.00.

Just like the result above, the sale price on the item is $104.00

Answer:

540

Step-by-step explanation:

If you do 15x12 which is the formula for area for a rectangle, you get 180. That's only the area of one rectangle but if you multiply it by 3 you get 540 for the areas added together.

Answer:

540 cm

Step-by-step explanation:

you multiply 15 x12 If you are getting an area 15 x12=180 then you multiply 180 by 3  180x3=540 I think

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]

Area of a triangular face

= ½ ×12 ×10

= 60 cm²

[tex]\boxed{area \: of \: square = side \times side}[/tex]

Base area of pyramid

= 12 ×12

= 144 cm²

∴ Surface area of pyramid

= 4(60) +144

= 240 +144

= 384 cm²

Answer: To find area of a rectangle, multiply its base (length) by its height (width). Plug in the base, 7 meters, and the height, 8 meters. So the area of Rectangle DFBE is 56 square meters.

88m

HOPE THIS HELPS

Answer:

Josephine will have $15 profit