Short answers

a) For each matrix, describe the transformation that is
achieved.

b)
A further transformation matrix D is required which combines
the effects of matrices A and B. Explain why care must be
taken in the ordering of transformation matrices.

Answer:

Step-by-step explanation: the answer is B i think

Answer:

A

Step-by-step explanation:

[tex]V = \frac{nd^2h}{6}[/tex]

multiply both sides by 6

[tex]6V = nd^2h[/tex]

divide both sides by [tex]nd^2[/tex]

[tex]\frac{6V}{nd^2} = h[/tex]

So the answer is A.

Supplementary: N and M

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: N and R

Vertical angles: A pair of angles that are made by two intersecting lines.

Complimentary: P and Q

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Answer:

2

Step-by-step explanation:

So first you would do y2-y1/x2-x1

9-(-1)/6-1

10/5=

2

Answer:

if you need it as improper then 25/12

Step-by-step explanation:

Answer:

1.0.003

2.40 minutes

3.a,e

4.a,c,d

5.1/24

Step-by-step explanation:

Answer:

-5/12

Step-by-step explanation:

you need to simplify both sides of the equasion, then isolate the variable

Answer:

6

Step-by-step explanation:

It is six because 6x6=36

Step-by-step explanation:

no entiendo.....aaaaa

Answer:

6b+4

Step-by-step explanation:

Answer:

compare both the equation we get,

X-6 = -9x+14

or, 10X =20

or, X= 2

Y=X-6

or, Y= 2-6

or, Y= -4

hence the solution is (2,-4)

Answer:

$60

Step-by-step explanation:

3 tenths of 100 is 30

1 * 10 is 10

100 - 30 + 10

= 100 - 40

= $60

Answer:

5 must be added to both the terms to get the ratio 4:5.

Step-by-step explanation:

(3+x)/(5+x)=4/5

Therefore,

15+5x=20+4x

=5x-4x=20-15

=x=5

I hope it's helpful!

Answer:

3+y/5+y=4/5

let y be the no.to be added

5(3+y)=4(5+y)

15+5y=20+4y

-5= -y

y=5

Answer:

3347 is the answer. Hope that helps

Answer:

3347

Step-by-step explanation:

20+30=50

50+90=140

140+2=142

142+278=420

420+7=427

427+2891=3318

3318+29=3347

Answer:

A, C, and D

Step-by-step explanation:

Answer: A - C - D  

Step-by-step explanation:

A= 21

B= 19

C= 21

D= 21

E= 20

Step-by-step explanation:

oatmeal 12/8 = 1.5 per student

apple 27/6 = 4.5 per student

carmine gets 1.5 + 4.5 = 6 muffins

Answer:

Step-by-step explanation:

(12 oatmeal)/(8 students) = (1.5 oatmeal)/student

Each student gets 1.5 oatmeal muffins.

(27 apple)/(6 students) = (4.5 apple)/student

Each student gets 4.5 apple muffins.

Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins

Answer:

90 mm^2

Step-by-step explanation:

split into two rectangles.

First rectangle: 5 x 6 = 30 mm^2

Second rectangle: 10 x 6 = 60 mm^2

30 + 60 = 90 mm^2

Answer:

90 [tex]mm^{2}[/tex]

Step-by-step explanation:

Hi!

What we have over here is a composite figure.

Basically, it's made up of different shapes

We can either make a rectangle by making a horizontal line from the point in between 6 mm and 5 mm

Or we can make a rectangle by going verticle from the point in between        6 mm and 5 mm

Either way, we have two rectangles now, and we can use our formula [tex]l*w[/tex] to find the area.

For the first example, we would do:

[tex]6*5[/tex] [tex]=30[/tex]

[tex]6*10=60[/tex]

Then we add the two areas of the two rectangles:

[tex]60+30=90[/tex] [tex]mm^{2}[/tex]

For the second example, we would do:

[tex]5*6=30[/tex]

[tex]5*12=60[/tex]

[tex]60+30=90[/tex] [tex]mm^{2}[/tex]

Just cut the figure into shapes you can calculate the area of and you should be good to go!

Let me know if you have any questions

Answer:

x+6=10-4+6

x=6+6-6

x=6

Answer:

answer below:)

Step-by-step explanation:

since s2= 6.2, then:

cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]

Answer:

y= 9 x= -42

Step-by-step explanation:

Answer:

The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]

Required

Calculate the mean

First, calculate the midpoint (x)

For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]

For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]

For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]

For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]

So, we have:

[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]

The mean is then calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]

[tex]\bar x = \frac{43250}{675}[/tex]

[tex]\bar x = 64.07[/tex]

[tex]\bar x = 64[/tex] --- approximated

Answer:

y=1/5x+4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 plus 1 is 3

Answer:

61k

Step-by-step explanation:

63+59=122

122/2=61

Answer:

61000

Step-by-step explanation:

First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.

Step-by-step explanation:

nasaan po ang tanong, where is the question

Answer:

Yes, it's a parallelogram

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Answer:56

Step-by-step explanation:

72% of 200= 144

200-143=56

Answer:

6 dimes & 10 quarters

Step-by-step explanation:

Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.

d + q = 16

0.1d + 0.25q = 3.1

Solve the first equation for d and plug into the second equation.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Answer: 6 dimes & 10 quarters

Benjamin has 6 dimes and 10 quarters.

A linear equation is  defined as an equation in which the highest power of the variable is always one.

Given that two equations,

d + q = 16

0.1d + 0.25q = 3.1

Where q represents the number of quarters in his wallet, and d represents the number of dimes.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Hence Benjamin has 6 dimes and 10 quarters.

Learn more about linear equation

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Answer:

24 cm^3

Step-by-step explanation:

4x2x3=24