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3 years ago

What single transformation can take you from A (3, 1) to A" (-7, 1) in one move?

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Answer: A reflection (Across the y-axis)

Step-by-step explanation:

Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

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The ages of 3 brothers are represented by consecutive integers. If the oldest brothers age is decreased by twice the youngest br

zepelin [54]

Answer:

The youngest brother's age is 21 years.

Step-by-step explanation:

Given:

The ages of 3 brothers are consecutive integers.

If the oldest brothers age is decreased by twice the youngest brother age the result is -19

To find the age of the youngest brother.

Solution:

Let the age of youngest broth be = $x$ years

The ages are consecutive integers.

So, age of the next older brother will be = $(x+1)$ years

The age of the oldest brother will be = $(x+2)$ years

The oldest brothers age is decreased by twice the youngest brother age.

The above statement can be represented as:

⇒ $(x+2)-2x$

Simplifying.

⇒ $x-2x+2$

⇒ $-x+2$

The result for the above expression = -19.

So, we have:

$-x+2=-19$

Subtracting both sides by 2.

$-x+2-2=-19-2$

$-x=-21$

Multiplying both sides by -1.

∴ $x=21$

Thus, the youngest brother's age is 21 years

6 0

2 years ago

Pls answer for branietest

wolverine [178]

Answer:

3 5/7

subtract the 3/7

4 3/7 - 3/7 = 4

4 = 28/7

28/7 - 2/7 = 26/7

26 /7 = 3 remainder 5 so 3 5/7

the whole number is the answer and the remainder is the numerator

3 5/7 is the answer

Hope this helps

Step-by-step explanation:

6 0

3 years ago

6 cds are jazz 5 are country 5 are classical 5 are hip jop and remaining 4 are rock , what's the probability a classical cd will

Naddik [55]

I think it's 3 out of 5, I'm not sure though.

4 0

3 years ago

Read 2 more answers

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

8 0

3 years ago

At the store, Martin buys a bottle of juice for $2.99, a pound of cheese for $5.45, and a bunch of grapes for $1.70. What is the

Alla [95]

Answer:

10.14

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers