All categories

3 years ago

1.dilate by 3/5 : (20,10)

Mathematics

1 answer:

inysia [295]3 years ago

4 0

Answer:

a) )12,6)

b) (12,2)

c) (4,-7)

d) (9,-7)

Step-by-step explanation:

a) Dilation

When we dilate, we multiply the given scale factor by each of the coordinates

We have this as follows;

(20 * 3/5, 10 * 3/5) = (12, 6)

2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value

We have this as;

(7+ 5, 8-6) = (12,2)

3. By reflecting across the x-axis

we have (x,y) changing to (x,-y)

so we have ;

(4,7) becomes (4,-7)

4. Rotation by 270 degrees (7,9)

If clockwise;

(x,y) becomes (y,-x)

so we have

(7,9) becoming (9,-7)

You might be interested in

A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∪ C) =

vovikov84 [41]

A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}

(B ∪ C) = {1, 2, 4, 5, 6, 7, 8, 9, 10}
so
A ∩ (B ∪ C) = {1, 5, 7 , 9}

6 0

3 years ago

Find the missing length

jasenka [17]

Answer: 15

Step-by-step explanation:

For this you will have to use pythagoras’ theorem.

The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).

17²=289

8²=64

The formula becomes u²=289-64 or u²=225

Then to find u on its own you have to square root 225.

The square root of 225 is 15.

3 0

3 years ago

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each,

Sav [38]

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

6 0

3 years ago

14m + 51 - 6s + 75 - 81 + 115 - 95 - 41 + 10p - 3p + 51<br> what is the coefficient of m?

densk [106]

Answer:

$14is \: coefficient \: of \: m$

4 0

3 years ago

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in

Andreyy89

So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

now if we take 1/6 as the 100%, what is 1/5 in percentage then?

$\bf \begin{array}{ccllll}
rate&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{6}&100\\\\
\frac{1}{5}&x
\end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x}
\\\\\\
x=\cfrac{6\cdot 100}{5}\implies x=120$

so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.

8 0

3 years ago

Read 2 more answers