find a ⋅ b
a = 7i - 4j, b = 4i + 3j

Answers

Answer 1

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer 2

Answer:

The answer is 16

Step-by-step explanation:


Related Questions

Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16

Answers

Answer:

multiply the second equation by - 2

Step-by-step explanation:

Given the 2 equations

5c + 4d = 10 → (1)

3c + 2d = 16 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate d

- 6c - 4d = - 32 → (3)

Add (1) and (3) term by term to eliminate d

- c + 0 = - 22

- c = - 22 ( multiply both sides by - 1 )

c = 22

Substitute c = 22 into either of the 2 equations and solve for d

Substituting into (2)

3(22) + 2d = 16

66 + 2d = 16 ( subtract 66 from both sides )

2d = - 50 ( divide both sides by 2 )

d = - 25

solution is c = 22, d = - 25

-2 would be your answer




Hope it helps

Which postulate or theorem proves that triangle JHG and
triangle EFG are congruent?
•HL Congruence Theorem
• ASA Congruence Postulate
•SAS Congruence Postulate
• AAS Congruence Theorem

Answers

Answer:

The answer is AS A Congruence Postulate.

Step-by-step explanation:

Maggie wants to make a special card for Valentine’s Day. She starts with a
square piece of red paper with a side length of 12 cm. She then pastes two white
semi-circles, each with radius 3 cm, and a white triangle onto the square sheet of
red paper, as shown below. Determine the total amount of area available in the white region for Maggie’s special valentine greeting.

Answers

Answer:

I don't know

Step-by-step explanation:

I tried to search it up to get it correct but all it showed me was useless websites that didn't give me the answer

The weights of four puppies are shown in pounds

9.5 9
9.125 9 3/4


Which list shows these weights in order from greatest to least?

Answers

Answer:

Least to greatest would be the following: 9, 9.125, 9.5, 9 3/4

Jonathan says that when you add 7 2 3 to 2 2 3 , you must add the whole numbers together first ( 7 + 2 = 9 ). Then you just add the numerators together ( 2 + 2 = 4 ), and you add the denominators together ( 3 + 3 = 6 ). So the answer is 9 4 6 . Unfortunately, Jonathan's strategy is incorrect. Solve this problem, and then briefly explain the flaw in Jonathan's reasoning.

Answers

Answer:

9 4/3

Step-by-step explanation:

Jonathan working:

Add 7 2/3 to 2 2/3

Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).

Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),

Step 3: you add the denominators together ( 3 + 3 = 6 ).

Step 4: Answer is 9 4/6

Correct workings:

Add 7 2/3 to 2 2/3

Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).

Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),

Step 3: you pick one of the denominators because they are the same (3)

Step 4: Answer is 9 4/3

If g(x) = 2x – 9, determine g(4) – g(1)

Answers

Step-by-step explanation:

g(x) = 2x - 9

g(4) = 2* 4 - 9

= 8 - 9

= - 1

g(1) = 2 * 1 - 9

= 2 - 9

= - 7

Now

g(4) - g(1)

= - 1 - ( -7)

= - 1 + 7

= 6

Hope it will help :)

If 9 x 7 = 3545 and 4 x 3 = 1520 then 6 x 8 = ?

Answers

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Help plssssssssssssss?

Answers

Answer:

2

Step-by-step explanation:

because when x, the input, is -3, the y, the output, is 3

how many 1/5s are in 20?​

Answers

Answer:

There are 4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Which of the followers scatter plots could have a trend line with an equation of 2x+5

Answers

C
Hope this really helps you

Answer:

answer is c   because   of the y intercept  . . so the y intercept is postive and goes through the orgin

Step-by-step explanation:

Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?

Answers

Answer: 5 2/6

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

3 1/3 + 2 1/3

10/3 + 7/3

= 17/3

= 5 2/3

I hope I helped!!

merhaba adim omer takip edermisiniz​

Answers

Answer:

evet ama takip etmekle ne demek istiyorsun? ve ben Kaiden!

Step-by-step explanation:

I need help with this please :(

Answers

Answer:

b

Step-by-step explanation:

b= luck

Please help:))))) AsAP​

Answers

Answer:

10b-2b-8x+14

(the last one)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

6x + 8b = x + 5x + 8b

Please help with this!?!?!?

Answers

Answer:

2$

Step-by-step explanation:

you can see that for every mile, the cost goes up 1.5 dollars, and if you tale the lowest amount, 2 miles, multiply by 1.5 = 3, and then subtract that from 5, you get 2

2$ I hope this helps

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket

Answers

Answer:

senior citizen tickets are $10 and child tickets are $8

Answer:

senior is 10 and child is 8

Step-by-step explanation:

Select all that apply. Select the formulas that give the amount P in the account after the first period.

Answers

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

Plz answer

3x+5x=32. ​

Answers

X should equal 4 I’m sorry if I’m wrong have a good day/night !

Step-by-step explanation:

start by adding like terms which would gice us

3x+5x=8x so,

8x=32 divide by 8 on both sides so we leave x by itself giving us x=4

What is the NPV of (x-5)

Answers

Np is = to positive 5

Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.

Answers

Answer:

y = 90x + 50

Step-by-step explanation:

In this situation, let's define the variable and the constant.

The variable is what changes, so in this case the wage ($90) changes with how many hours the electrician is hired for.

The constant is the number that stays the same, in this case it would be the $50 traveling fee because it remains the same every time.

The equation should be written in this form:

y = mx + b

m = slope (variable)

b = y-intercept (constant)

Therefore, you can write the equation like this:

y = 90x + 50

Hope this helps!!

- Kay :)

Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?

Answers

Answer:

Primer número = x = 85

Segundo número = y = 255

Tercer número = z = 510

Step-by-step explanation:

Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.

Representamos:

Primer número = x

Segundo número = y

Tercer número = z

Se sabe que la suma de tres números es 850.

x + y + z = 850 ...... Ecuación 1

El primero es un tercio del segundo

x = 1/3 años

El tercer número es el doble del segundo.

z = 2 años

Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1

1 / 3y + y + 2y = 850

y / 3 + 3y = 850

Multiplica ambos lados por 3

y + 9y = 850 × 3

10 años = 2550

y = 2550/10

y = 255

Resolviendo para x

x = 1/3 años

x = 1/3 × 255

x = 85

z = 2 años

z = 2 × 255

z = 510

Por eso,

Primer número = x = 85

Segundo número = y = 255

Tercer número = z = 510


Triangle ABCis rotated 90° clockwise around the origin to get
triangle A'B'C. Find the length of the line segment, AC
A. 2.23
OB. 4.47
O c. 2.44
D.2

Answers

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

MN/sin72=10/sin18

MN=30.8

Please help me solve this I have work and i can't have anything due late ..​

Answers

Answer:

the answer is C i hope this helps

Step-by-step explanation:

1. Bella and Caiden each bought a 12-oz can of soda. They are drinking their sodas at the

rates shown. Who is drinking their soda the fastest?

BELLA

CAIDEN

Min

Oz

0

12.

Ounces

20

18

16

14

12

10

8

6

4

2

2

3

4.5

4

2.

1 2 3 4 5 6 7 8 9 10

Minutes

Answers

Answer:

The question is incorrect. Please use a table or a diagram.

What's the answer pleaseewwww

Answers

Pretty sure it’s the third one

7/10 - ___ + 3/2 = 6/5 ??????
Help me please

Answers

Answer:

1

Step-by-step explanation:

make all fraction have the same denominator:

7/10 - x + 15/10 = 12/10

isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10

divide by 1 x = 10/10 or 1

x = 1

Answer:

1

Step-by-step explanation:

Let the no. be x

7/10-x+3/2=6/5

-x=6/5-3/2-7/10

-x=-10/10

-x=-1

x=1

Hope it helps

in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?

Answers

Answer:

48%

Step-by-step explanation:

9/10 of the students like going to the movies.

4/5 of 9/10 is 72/100 or 72%.

2/3 of 72 is 48.

So, 48% of the students like popcorn, candy, and going to the movies.

Is this a right triangle?

Answers

Answer:

No, one of the angles has to be 90º for it to be a right triangle

Step-by-step explanation:

Answer:

no. it doesn't have a right angle.

Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD

Answers

Answer:

27633883532

2732937293739

839364923274693

93730347395393649364

027402649249364

026393473849337

92739262926382

193

19632963286392

92539253925292

9279253285292

2283792

88248935392

926263925392

7363854276393

233

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