MATHEMATICS HIGH SCHOOL

Find the inner product for (7.2) (0,-2) and state whether the vectors are perpendicular.a. -4; no

c. 4; no

b. -4; yes

d. 4; yes

Answers

Answer 1
Answer:

Answer:

a. -4; no

Step-by-step explanation:

Suppose we have two vectors, a and b.

a = (1,2)

b = (2,3)

Their inner product is:

a.b = (1,2).(2,3) = 1*2 + 2*3 = 8

The vectors are perpendicular if their inner product is 0.

In this question:

a = (7,2)

b = (0,-2)

So

a.b = (7,2).(0,-2) = 7*0 + 2*(-2) = -4

-4 is different of 0, so they are not perpendicular.

So the corret answer is:

a. -4; no

Related Questions

Consider the linear expression 4x - 11The coefficient in this expression is ....... and the constant term is......
Please solve!! Helppppp
Is 7, 695 divided by 855 positive or negative?
In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C
Whats the work for 0>3x-3-6

A group of 18 people ordered soup and sandwiches for lunch .each person in the group had either one soup or one sandwich.the sandwhiches cost $7.75 each and the soups cost $4.50 each.if the cost of all 18 lunches was $113.50 ,how many sandwhiches were ordered?

Answers

$7.75 * 10 = $77.50
$4.50 * 8   = $36.00

$77.50 + $36.00 = $113.50

= 10 sandwiches  

Pa answer naman po!!!​

Answers

\bold{{Answer:}}

TropicalRain Forest

1.B

2.A

3.Di ko alam

Coral Reefs

1.C

2.E

3.I

MangroveSwamps

1.D

2.H

3.G

pa tama nalang kung mali ah

tao lang nag kakamali rin hehe

\bold\blue{{Answer:}}

TropicalRain Forest

1.B

2.A

3.F

Coral Reefs

1.C

2.E

3.I

MangroveSwamps

1.D

2.H

3.G

Taga Pilipinaska din ba o hindi?

caden built a rectangular prism that has a length of 8 units a width of 3 units, and a height of 5 units. what is the volume of the prism. show your work

Answers

To calculate the volume of a prism you multiply the area of it's cross section by the length Therefore 5 x 3= 15 (Area of the rectangle) 15x8= 120 (Volume of prism)
Solutions 

Caden built a rectangular prism that has a length of 8 units a width of 3 units, and a height of 5 units.To calculate the volume of the prism you have to multiply the area of it's cross section by the length. 

5 x 3= 15 (Area)

15 x 8= 120 (Volume of whole prism)

The amount of water in a bottle is reduced by 85% to 120 ml. How much water was originally in the bottle?

Answers

At first it was 100%. When it was reduced by 85%, it became 25%. The 25% represents 120 ml. So 100% would be (120/25) × 100 = 480 ml.

The sum of two numbers is twenty. Three times the smaller is equal to twotimes the larger. Find the two numbers.

Answers

the smaller number is 8, and the larger number is 12, and they indeed add up to 20, and three times the smaller number (3 * 8) is equal to two times the larger number (2 * 12).

Let's call the two numbers x and y, with x being the smaller number and y being the larger number.

We have two pieces of information from the problem:

1. The sum of the two numbers is twenty:

  x + y = 20

2. Three times the smaller number is equal to two times the larger number:

  3x = 2y

Now, we can solve this system of linear equations.

First, we can solve equation (1) for x:

x = 20 - y

Now, substitute this expression for x into equation (2):

3(20 - y) = 2y

Now, distribute the 3 on the left side:

60 - 3y = 2y

Now, isolate the variables on one side of the equation and constants on the other side:

60 = 2y + 3y

Combine like terms:

60 = 5y

Now, divide by 5 to solve for y:

y = 60 / 5

y = 12

Now that we have found the value of y, we can substitute it back into equation (1) to find x:

x + 12 = 20

Subtract 12 from both sides:

x = 20 - 12

x = 8

So, the two numbers are:

x = 8 (smaller number)

y = 12 (larger number)

Therefore, the smaller number is 8, and the larger number is 12, and they indeed add up to 20, and three times the smaller number (3 * 8) is equal to two times the larger number (2 * 12).

To know more about number:

brainly.com/question/35412465

#SPJ3

Answer:

The smaller number is 8

The larger number is 12

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

Translate the question and solve ;

x +y = 20\n3(x) =2(y) \n\n\begin{bmatrix}x+y=20\n 3x=2y\end{bmatrix}\n\n\mathrm{Isolate}\:x\:\mathrm{for}\:x+y=20:\quad x=20-y\n\n\mathrm{Subsititute\:}x=20-y\n\n\begin{bmatrix}3\left(20-y\right)=2y\end{bmatrix}\n\n\mathrm{Isolate}\:y\:\mathrm{for}\:3\left(20-y\right)=2y:\quad y=12\n\n\mathrm{For\:}x=20-y\n\n\mathrm{Subsititute\:}y=12\n\nx=20-12\n\nSimplify\n\nx =8\n\nx=8,\:y=12

9.8 < 20 – 9.8t < 20

Answers

Answer:

0 < t < 1.04 or  t ∈ (0, 1.04)

Step-by-step explanation:

Solving in steps:

  • 9.8 < 20 – 9.8t < 20                  
  • 9.8 - 20 < -9.8t < 20 - 20         ⇒ subtract 20 from all sides
  • -10.2 < -9.8t < 0                        ⇒ divide all sides by -9.8, this changes  inequality signs to reverse
  • 0< t < 10.2/9.8
  • 0 < t < 1.04 or t ∈ (0, 1.04)
Other Questions
the area of the U.S. is about 3.778 million square miles. Approximately670000 square miles are worked for food production. what percent of the U. S. is worked for food production?
What is 2a-3 when a=6
You have a coupon good for $5 off the price, p, of any large pizza. You also get a 15% discount on any pizza if you show your student ID. How much more would you pay for a large pizza if the cashier applies the coupon first, rather than the 15% discount first? Please show steps to this composite function.
How do you write 8000 in roman nos?