Today is Thursday. I came home from a trip 3 days before the day after

Graph the image of the figure after a dilation with a scale factor of 2 centered at (−2,−2). Use the Polygon tool to graph the q

kolbaska11 [484]

Answer:

see below

Step-by-step explanation:

Every vertex moves twice as far from the center of dilation as it is in the pre-image.

Perhaps the easiest image point to find is the one at lower left. In the pre-image it is 2 units left of the center of dilation, so the image point will be 2×2 = 4 units left of the center of dilation. It will be located at (-6, -2).

Other points on the image can be found either by reference to the center of dilation, or by reference to known image points. For example, the next point clockwise is 1 left and 4 up in the pre-image, so will be 2 left and 8 up from (-6, -2) in the image. That is, the pre-image point (-5, 2) becomes image point (-8, 6). You will note that (-5, 2) is 3 left and 4 up from the center of dilation, and that (-8, 6) is 6 left and 8 up from the center of dilation (twice as far away).

5 0

3 years ago

randy has two 28 pound blocks of ice for his snow cone stand. if each snow cone requires 2/3 pound of ice, how many snow cones c

Mariana [72]

He can make 18 and then he wouldn't have enough to make that 19th. You just take 28 and multiply it by 2, then divide it by 3. Or just multiply 28 by 2/3

4 0

3 years ago

Read 2 more answers

Helpppp!BASIC MATHhhh

MAXImum [283]

How much we need for start-up supplies . . . . . $25

AFTER start-up supplies we want to have . . . $70

Total amount we need to get started . . . (25 + 70) = $95

Number of people contributing . . . (me + 4) = 5

<em>Amount each person needs to kick in</em> . . . (95/5) = <em>$19</em>

As your preliminary Accountant, please reserve me one dozen (13) bagels from the first batch you produce !

4 0

3 years ago

Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.

sineoko [7]

Answer:

$Apple \to 4$

$Banana \to 4$

$Cherry \to 5$

Step-by-step explanation:

Given

$A \to Apple$

$B \to Banana$

$C \to Cherry$

From the rows, the equation is:

$B + 2A =12$ --- (1)

$2B + C = 13$ --- (2)

$A + 2C = 14$ --- (3)

Make A the subject in: $A + 2C = 14$

$A = 14 -2C$

Substitute $A = 14 -2C$ in $B + 2A =12$

$B + 2(14 - 2C ) = 12$

$B + 28 - 4C = 12$

Make B the subject

$B = 4C - 28 +12$

$B = 4C -16$

Substitute $B = 4C -16$ in $2B + C = 13$

$2(4C - 16) + C = 13$

$8C - 32 + C = 13$

Collect like terms

$8C + C = 13+32$

$9C = 45$

Divide by 9

$C = 5$

Recall that:

$B = 4C -16$

$B =4*5-16$

$B =20-16$

$B =4$

Recall that:

$A = 14 -2C$

$A= 14 -2*5$

$A= 14 -10$

$A =4$

Hence:

$Apple \to 4$

$Banana \to 4$

$Cherry \to 5$

3 0

3 years ago

Evaluate the line integral ?Cx2zds, where C is the line segment from (0,5,2) to (2,7,8).

Leno4ka [110]

Parameterize $C$ by

$\mathbf r(t)=(x(t),y(t),z(t))=(1-t)(0,5,2)+t(2,7,8)=(2t,5+2t,2+6t)$
$\implies\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt=\sqrt{44}\,\mathrm dt$

So the line integral is equivalent to

$\displaystyle\int_Cx^2z\,\mathrm ds=\sqrt{44}\int_{t=0}^{t=1}(2t)^2(2+6t)\,\mathrm dt=\frac{52\sqrt{11}}3$

5 0

3 years ago