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3 years ago

What are the coordinates of the vertices of the triangle under the translation (x y) (x − 1 y − 3)

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

Answer:

A: (-9,-3)(-2,-4)(-5,-8)

B: (-5,2)(-1,-3)(3,2)

C: (4,-7)(-1,-3)(4,1)

D: (-1,-11)(-2,-4)(-6,-7)

Step-by-step explanation:

So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.

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Catherine and Lance open a savings account at the same time. Catherine deposits $100 initially and adds $20 per week. Lance depo

docker41 [41]

Answer:

After 40 weeks

Step-by-step explanation:

To get the answer to this question, we need to first know the difference in the amount of money deposited by the 2 individuals and in this case it us $400 since one deposited $500 and the other $100

The next thing to do is to divide the difference in amount(400) by the amount contributed by each person per week.

Catherine deposits $20 per week

400/20 = 20

Lance deposits $10 per week

400/10 = 40

The LCM between 40 and 20 is 40 weeks.

Therefore, both individuals need to deposit money for 40 weeks for both of their savings to be the same.

If Catherine deposits $20 for 40 weeks,she will have 40 × 20 = $800 + $100(initial deposit that she made) = $900

Lance deposits $10 for for 40 weeks and he will have 40 × 10 = $400 + $500(initial deposit made by him)= $900

4 0

3 years ago

Read 2 more answers

What is the value of -2/5 divided by 6/8 PLEASE HELPPP

Tatiana [17]

Answer:

The steps to do :

$- \frac{2}{5} \div \frac{6}{8}$

$= - \frac{2}{5} \times \frac{8}{6}$

$= - \frac{1}{5} \times \frac{8}{3}$

$= - \frac{1 \times 8}{5 \times 3}$

$= - \frac{8}{15}$

7 0

3 years ago

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0

3 years ago

There are approximately 3.7 million deaths per year in country A. Express this quantity as deaths per minute.

Alex73 [517]

Divide by 365 then by 24 then by 60 and then by 60 again :)

5 0

3 years ago

Rhett is solving the quadratic equation zero equals X2 minus 2X -3 using the quadratic formula which shows the correct substitut

Alina [70]

X^2-2x -3 =0
a =1 b =-2 and c = -3

x = - (-2) +/- sqrt (-2)^2 - 4(1)(-3)
--------------------------------------
2(1)

x = + 2 +/- sqrt [(4) - 4(-3)]
-------------------------------
2

x = +2 +/- sqrt [4 + 12]
--------------------------
2
x = +2 +/- sqrt[16]
-------------------
2

x = +2 +/- (4)
-------------
2

x = 2 + 4 or 2 -4
------- ------
2 2

x = 6/2 or -2/2

x = 3 or x = -1

8 0

3 years ago