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Pavel [41]
3 years ago
9

Hi here is the problem

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0

Answer:

Look at the image.

Step-by-step explanation:

24 ÷ 4 = 6

6 × 9 = 54

24 ÷ 3 = 8

8 × 5 = 40

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Draw and label the final image of △ABC after the given sequence of transformations. Reflect △ABC over the y−axis and then transl
arlik [135]

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and  (-2,4) respectively.

If a point reflects over the y-axis then,

(x,y)\rightarrow(-x,y)

So after reflecting coordinates of point C become,

(-2,4)\rightarrow(2,4)

If a point translated by (a,b), then

(x,y)\rightarrow(x+a,y+b)

So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)

Similarly the image of point A and B are (3,-1) and (5,1) respectively.

The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.

8 0
3 years ago
Please answer all the questions. They are pretty easy!
tatuchka [14]

Answer:

31. A

32.A

33.B

34.C

7 0
2 years ago
Read 2 more answers
Fred orders pictures from a photographer. Each picture costs $5.50. A one-time shipping fee of $4.25 is added to the cost of the
Alexus [3.1K]

Answer:

Fred ordered 12 pictures

Step-by-step explanation:

70.25-4.25 (one time shipping fee) =66

then you take 66 and divide it by the cost of each picture

66/5.50= 12 pictures

3 0
3 years ago
Read 2 more answers
Which of the following is a geometric sequence?
IRISSAK [1]

Answer:

D

Step-by-step explanation:

Geometric sequence has to do with a pattern of multiplication, and D has a pattern of times 4 if that makes any sense

8 0
3 years ago
Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0
MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy  = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂=  ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂=  ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ =  - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for  π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0
3 years ago
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