1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali5045456 [20]
3 years ago
13

Given vectors a = <9, 9> and b = <–4, 7>, find 3a − 2b.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0

Answer:

35i+13j

Step-by-step explanation:

Vector a = 9i+9j

Vector b = -4i+7j

We need to find the value of 3a-2b.

3a = 3(9i+9j) = 27i+27j

2b = 2(-4i+7j) = -8i+14j

3a-2b = 27i+27j-(-8i+14j)

= 27i+27j+8i-14j

= 35i+13j

Hence, the required vector is equal to 35i+13j.

You might be interested in
The table gives points on a line. What is the equation of the line?
Sedbober [7]

Answer:

The answer would be y= -2x + 5

Step-by-step explanation:

If you look at your table you can see a pattern in the Y collum. It's being subtracted by two each time.

4 0
3 years ago
The random variable X has a uniform distribution with values between 16 and 24. What is the mean and standard deviation of X
N76 [4]

Answer:

Mean = 20

SD = 2.31

Step-by-step explanation:

Given

a = 16

b = 24

Solving (a): The mean

The mean of a uniform distribution is:

Mean = \frac{1}{2}(a + b)

This gives:

Mean = \frac{1}{2}(16 + 24)

Mean = \frac{1}{2}(40)

Mean = 20

Solving (b): The standard deviation

The standard deviation is:

SD = \sqrt{\frac{(b - a)^2}{12}}

This gives:

SD = \sqrt{\frac{(24 - 16)^2}{12}}

SD = \sqrt{\frac{(8)^2}{12}}

SD = \sqrt{\frac{64}{12}}

SD = \sqrt{5.333}

SD = 2.31

6 0
3 years ago
Steve paid 10% tax on a purchase of $40. What the dollar amount of the tax and total dollar amount Steve paid?
madam [21]
10 percent of 40 dollars is basically 10 parts out of 100 parts of 40 dollars, which is 4 dollars (0.1(40) = 4). Steve paid 4 dollars in taxes and 44 dollars in total.
7 0
3 years ago
Read 2 more answers
What was the original price if after increasing by 60% it became $8?
Nesterboy [21]
The answer  is 5a pretty sure
8 0
4 years ago
Graph y =-7x-1 il do anything
Goshia [24]

Answer:

here you go!

6 0
3 years ago
Other questions:
  • 1.-si el area de un rectangulo es de 144 metros cuadrados y su altura de 8 metros ¿ cual es el valor de su base?
    7·1 answer
  • Mandy is building a rectangular garden pond with the area of 12ft^2. The length of pool needs to be 2 ft more than twice the wid
    7·1 answer
  • PLEASE HELP ME!!!!!!!!!!!!
    13·1 answer
  • A building supply company sells sand by the cubic yard. The price of one cubic yard of sand is $33.75. What do you think the pri
    13·1 answer
  • In the diagram, points E, A, and B are collinear and the areas of square ABCD and right triangle EAD are equal. What are the coo
    8·2 answers
  • Gretchen has 48 small shells. She uses 2 shells to make one pair of earrings. How many pairs of earrings can she make?
    12·2 answers
  • Rick is building a scale model of the Alamo for his Texas History class. In this model, he is using a scale in which 3 inches re
    12·1 answer
  • Another way to write 300 + 70 + 5/10 + 8/100
    5·1 answer
  • Find the measure of the angles indicated
    7·1 answer
  • A. &gt;<br> B. &lt;<br> C. =<br> D. none of the above
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!