Point W (-4,7) was translated as follows:W(-4,7) W (-2,4). A student wrote the algebraic rule to describe the translation as (x,y)(x-3,y+2) evaluate the student's answer

Answers

Answer 1
Answer: The student's answer is wrong. This is because when the translation was done from (-4,7) to (-2,4), a value of 2 was added to x and 3 was subtracted from 7. Therefore, the translation should have been: (x,y)(x+2,y-3).
Answer 2
Answer:

Answer with explanation:

It is given that, point W (-4, 7) is translated to W'(-2,4).

The Student Wrote this translation rule as:

(x,y)→(x-3, y+2)

So,if we apply the translation rule in W ,then

W(-4,7)→W'(-4 -3, 7 +2)=W'(-7, 9)

We are not getting the original coordinates of point after applying this translation rule.

So,the translation rule that student wrote is incorrect.

So,the translation rule should be ,

(x,y)→(x+2,y-3)

that is , W(-4,7)→W'(-4+2,7-3)=W'(-2,4)


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What divided by 0.25 equals 0.25

Answers

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer


it is 0.25 / 1 cause everytime you use 1 with dividing or multiply , it comes out the same like 10 * 1 = 10 hope this helps


An investment club invested part of $8000 at 10% annual interest the rest at 12%. If the annual income from these investments is $900, how much was invested at each rate

Answers

let x be the amount invested  at 10%
so the amount invested at 12 % =  (8000-x)
   0.1x + 0.12(8000-x) = 900
   0.1x - 0.12x = 900- 960
   0.02x = 60
     x   =  3000      @ 10%
              8000 - 3000    =    5000     @ 12%

How long is 63 months in years?

Answers

The time-duration "63-months" in years can be expressed as 5.25 years.

To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.

Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.

This means that 63 months is equivalent to 5 years and 3 months.

To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.

Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.

Therefore, 63 months is approximately 5.25 years.

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Five years and three months.

Two welders working together can complete a job in 6 h. One of the welders, working alone, can complete the task in 15 h. How long would it take the second welder, working alone, to complete the task?

Answers

ur asking a bunch of these kind of rate problems xD
6 ( (1)/(15) + (1)/(x) )=1
In 6 hrs, the welder who does 1/15 of the job in 1 hr and the welder who does 1/x in 1 hr, complete the job (6 hrs.)
(1)/(15) + (1)/(x) =  (1)/(6)
Multiply 30 on both sides to cancel out the fractions and we get:
2 + (30)/(x) =5
Solving for x:
30/x=3
3x=30
x=10
The second welder would take 10 hours.

What can multiply to get -36 and add to get -40

Answers

4*-9+-4= -40

-36-4= -40

-40=-40

I hope that's help:)


Find a • b.

a = 4i + 3j, b = -4i + 4j

Answers

The required dotproduct of the given vector is given as -4.

Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.

What is dot products of vector?

The dot × of twovectors is described as the sum of the products of the relevant directionalvector.

Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4     (since i.j or j.i for dot product gives zero.)

Thus, the required dotproduct of the given vector is given as -4.

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Hello,

I suppose a and b are vectors
and i and j unit's vectors

\vec{i}*\vec{i}=1\n \vec{j}*\vec{j}=1\n \vec{i}*\vec{j}=0\n
\vec{a}\ .\ \vec{b}=(4\vec{i}\ +3 \vec{j}).(-4\vec{i}\ +4 \vec{j})\n =-16-3*4*0+4*4*0+12=-4