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3 years ago

The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?

Mathematics

2 answers:

Leto [7]3 years ago

7 0

Answer:

Translation of 2 units to the left and 7 units up.

Step-by-step explanation:

The general rule of translation is

$(x,y)\rightarrow (x+a,y+b)$ .... (1)

If a>0, then figure translate a units right and if a<0, then figure translate a units left.

If b>0, then figure translate b units up and if b<0, then figure translate b units down

The given rule of translation is

$(x,y)\rightarrow (x-2,y+7)$ .... (2)

On comparing (1) and (2), we get

a = -2 < 0, so figure translate 2 units left.

b = 7 > 0, so figure translate 7 units up.

Therefore, the given rule describes the translation of 2 units to the left and 7 units up.

GaryK [48]3 years ago

5 0

Answer:

It shifts left two units, and up seven units.

Step-by-step explanation:

In your translation, it says X-2, this represents the shift to the left two times, next it says Y+7, this represents the upwards shift seven units. Basically, you're taking your beginning X and Y values, and changing them according to the right of the arrow.

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777dan777 [17]

Answer:

twelve faces

Step-by-step explanation:

12 sides

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3 years ago

Identify the equivalent expression for each of the expressions below. Root(5, (m + 2) ^ 3). Root(3, (m + 2) ^ 5). Root(5, m ^ 3)

vesna_86 [32]

Answer:

1. $(\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}$

2. $(\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}$

3. $\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2$

4. $\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2$

Step-by-step explanation:

Recall that

$(\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})$

Where $x^{m}$ is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

n is 5

m is 3

x = (m + 2)

$(\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}$

2. Root(3, (m + 2) ^ 5)

In this case,

n is 3

m is 5

x = (m + 2)

$(\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}$

3. Root(5, m ^ 3) + 2

In this case,

n is 5

m is 3

x = m

$\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2$

4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

$\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2$

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3 years ago

Who graph shows a rate of 60 feet per second?

dem82 [27]

Answer:

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Step-by-step explanation:

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3 years ago

PLEASE HELP QUICK !!

babunello [35]

Step-by-step explanation:

given f(x) = 2/x and g(x) = 2/x

f(g(x)) = 2/(g(x)) = 2/2/x = x/2 × 2 = x

g(f(x)) = 2/(f(x)) = 2/2/x = x/2 × 2 = x

therefore they are inverses

since f(g(x)) = g(f(x)) = x.

4 0

3 years ago

An exponential function, f, passes through the points (-2,-4) and (1,10). Which two points would lie on the graph of function g

Lubov Fominskaja [6]

Answer:

(-2,-12) and (1,30)

Step-by-step explanation:

we know that

f(x) passes through the points (-2,-4) and (1,10)

That means

For x=-2 ----> f(-2)=-4

For x=1 ----> f(1)=10

we have

g(x)=3f(x)

substitute the given value of f(x) to obtain the value of the function g(x)

For x=-2 -----> g(-2)=3f(-2) ----> g(-2)=3(-4)=-12

For x=1 -----> g(1)=3f(1) ----> g(1)=3(10)=30

therefore

The two points that would lie on the graph of function g are

(-2,-12) and (1,30)

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3 years ago