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3 years ago

10

Tatiana practiced a total of 12 hours last week to prepare for her gymnastics meet. The line plot shows how long she practiced o

n the first six days of the week. If Tatiana practiced every day last week, how long did she practice on the last day?

1 answer:

Free_Kalibri [48]3 years ago

3 0

Answer:

nigrto

Step-by-step explanation:

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write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,

gayaneshka [121]

Answer:

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$k$ - Scale factor, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0, 0)$ , $k = 2$ , $A(x,y) = (1,1)$ , $B(x,y) = (2,2)$ , $C(x,y) = (4,1)$ and $D(x,y) = (2,-1)$ , then the dilated points are, respectively:

Point A

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]$

$A'(x,y) = (2,2)$

Point B

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]$

$B'(x,y) = (4,4)$

Point C

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$

$C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]$

$C'(x,y) = (8,2)$

Point D

$D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]$

$D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]$

$D'(x,y) = (4,-2)$

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

4 0

3 years ago

Simplify -r+8(-5r-2)

Lapatulllka [165]

<u>Answer:</u>

<em> -41r - 16</em>

<u>Step-by-step explanation:</u>

<em>Step 1 :</em>

<em>Step 2 :</em>

<em>Pulling out like terms :</em>

<em> 2.1 Pull out like factors :</em>

<em> -5r - 2 = -1 • (5r + 2) </em>

<em>Equation at the end of step 2 :</em>

<em> -r + -8 • (5r + 2)</em>

<em>Step 3 :</em>

<em>Step 4 :</em>

<em>Pulling out like terms :</em>

<em> 4.1 Pull out like factors :</em>

<em> -41r - 16 = -1 • (41r + 16) </em>

6 0

3 years ago

What is the answer for 47

bazaltina [42]

A, because the equation shows that G is opposite number for P.

7 0

3 years ago

How do i solve this problem?

Eduardwww [97]

I think the first numerator cant be Z so I solved the question assuming it is 2;

Answer:

(x,y,z)=(1,5,7)

Hope this helps.

7 0

3 years ago

12. Which equation has no solution?

alexandr1967 [171]

B 24a-22=-4(1-6a) has no solution

6 0

2 years ago