MATHEMATICS HIGH SCHOOL

Which sequence of transformations carries ABCD onto HGFE
Which sequence of transformations carries ABCD onto HGFE - 1

Answers

Answer 1
Answer:

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the after transformation figure ABCD onto HGFE. It means HGFE is image of ABCD after transformation.

From the figure it is noticed that A(2,-1) and H(-6,1).

Rotation of 90 degree clockwise about the origin followed by the reflection across the x-axis is expressed as

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

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option A is incorrect.

Translation 3 unit up followed by the reflection across the y-axis is expressed as

(x,y)\rightarrow (x,y+3)\rightarrow (-x,y+3)

Therefore the image of A(2,-1) is (-2,2), which are not the coordinates of H. Option B is incorrect.

Reflection across the x-axis followed by rotation of 90 degree counterclockwise about the origin is expressed as

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

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option C is incorrect.

Translation 8 unit left followed by reflection across the x-axis is expressed as

(x,y)\rightarrow (x-8,y)\rightarrow (x-8,-y)

Therefore the image of A(2,-1) is (-6,1), which are the coordinates of H. Option D is correct.
Answer 2
Answer: If you look closely at the options, the first 3 options will not produce an image that will be in Quadrant II with the vertices coinciding HGFE.
But if you look at the 4th option, translating the points 8 units to the left will produce an image in Quadrant III. Reflecting the image across the x-axis will produce triangle HGFE.

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Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!

Answers

Answer:

B. 7- 10 years

Step-by-step explanation:

7 is the approximate time negative choices stay on. Things like paying the bill late and bankruptcies.

Answer:

d

Step-by-step explanation:

this will keep them in dept the longest

Tommy and his dad rode their bikes at a speed of 12 m.h.p. For 2 hours. They rested in a park and rode at 8 m.p.h. For 2 more hours. How many miles did they travel in total?

Answers

40 miles in total that they traveled

Mohsin goes for cycling every 16 days and swimming for every 2 weeks. He did both kinds of Exercise today. How many days from Now will he go both cycling and swimming again?

Answers

Answer:

2×7 =14 ( because 1 week = 7 days)

now find the lcm of 16 14

lcm

16= 2x2x2x2

14= 2×7

therefore lcm is 2×2×2×2×7= 112

112 days

I REALLY NEED HELP !!!The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)^3t. There are five bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 2,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 2,000 = 5(10)^3t?

t equals start fraction log of forty over three end fraction
t equals start fraction log of two thousand over three times log of fifty end fraction
t equals start fraction log of four hundred over log of three end fraction
t equals start fraction log of four hundred over three end fraction

Answers

I think the answer is c
The answer is t=2/5

Im sorry if this is incorrect! Tried my best at least! Good luck :)

what is the total pay for 12 hours of work at a base rate of p per hour plus a temporary raise of $2.50 per hour?

Answers

Answer:

$ 12(p+2.5)

Step-by-step explanation:

Given: base rate of pay is  p per hours plus a temporary raise of $2.50 per hour.

To Find: total pay for 12 hours of work

Solution:

Total hours for which work is done =\$12\text{hours}

base rate of payment =   \text{p} per \text{hours}

temporary raise = \$\text{2.50 per hour}

Total rate of payment = \$ (p+2.5)

Total pay = \text{total time work done}*\text{total pay rate}

putting values

              = \$12(\text{p+2.5})

therefore,

Total pay for 12 hours of work is \$12(\text{p+2.5})
12(p+2.5)

Since he makes p + 2.5 per hour, and he is working for 12 hours, the above is how you would express it as a formula.

Y=t+a/t-b
express t in terms of a, b and y.
t-b​

Answers

Answer:

t=(a+by)/(y-1)

Step-by-step explanation:

(t-b)y =t+a

ty-by = t+a

ty-by=t+a

ty-by=a+by

t(y-1)=a+by

thus,

t=(a+by)/(y-1)
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