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3 years ago

100 Points and I WILL mark brainliest for first correct answer.

Mathematics

1 answer:

lesya [120]3 years ago

3 0

Answer:(a) Co-ordinate rule is and

(b) Co-ordinates of B' and C' are and respectively.

Step-by-step explanation:

(a)

Here, the co-ordinates of A are translated to A'.

For the co-ordinates A and A', and

So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.

Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:

and .

(b)

Using the co-ordinate rule, we can find the co-ordinates of B' and C'.

For B, and .

So, of B' is

And, of B' is .

Therefore, co-ordinates of B' are .

For C, and .

So, of C' is

And, of C' is .

Therefore, co-ordinates of C' are .

Step-by-step explanation:

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3 years ago

A square has a perimeter of 100cm What is the length of each side?

rewona [7]

Answer:

each side of the square is 25cm

Step-by-step explanation:

this is because of two things:

1. a square has equal sides

2. the perimeter is all the sides added together.

so if you call the length of one side x, you can make this equation:

x + x + x + x = 100

<em>combine like terms</em>

4x = 100

<em>divide both sides by 4</em>

x = 100/4

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8 0

4 years ago

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Answer:

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3 years ago

Which logarithmic equation is equivalent to the exponential equation below?

aleksandr82 [10.1K]

Option B: $\ln 6=5 x$ is the correct answer.

Explanation:

The exponential equation is $e^{5 x}=6$

If $f(x)=g(x)$ , then $\ln (f(x))=\ln (g(x))$

Thus, the equation becomes

$\ln \left(e^{5 x}\right)=\ln (6)$

Applying log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ and thus the equation becomes

$5 x \ln (e)=\ln (6)$

Since, we know that, $\ln (e)=1$ , using this we get,

$5 x=\ln (6)$

Hence, the logarithmic equation which is equivalent to the exponential equation $e^{5 x}=6$ is $\ln 6=5 x$

Thus, Option B is the correct answer.

7 0

3 years ago

Vedavit walks his dog the same distance each day. After 5 days, he has walked his dog 1 mile. How many feet does he walk his dog

posledela

Answer:

$1056 ft$

Step-by-step explanation:

''Vedavit walks his dog the same distance each day.''

After 5 days,he has walked his dog 1 mile.''

First we are going to convert the total distance (1 mi) to feet.

The relation is :

$1mi=5280 ft$

After 5 days, he has walked his dog 5280 ft.

The next step is to divide the total distance for the amount of day that he has walked his dog (we do this because Vedavit walks his dog the same distance each day)

$\frac{5280ft}{5 days} =1056\frac{ft}{day}$

Finally, he has walked his dog $1056 ft$ each day

3 0

3 years ago