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
weqwewe [10]
3 years ago
5

What is the projection of (4,4) onto (-7,3)?

Mathematics
1 answer:
erica [24]3 years ago
3 0
Let's define the vectors:
 u = (4,4)
 v = (- 7.3)
 The projection of u on v is:
 P = ((u.v) / (v ^ 2)) v
 We have then:
 u.v = (4,4). (- 7.3)
 u.v = (4) * (- 7) + (4) * (3) = -28 + 12 = -16
 v ^ 2 = (- 7) ^ 2 + (3) ^ 2 = 49 + 9 = 58
 Substituting we have:
 P = ((- 16) / (58)) (- 7, 3)
 Rewriting:
 P = -0.28 (-7, 3)
 Answer:
 
the projection of (4,4) onto (-7,3) is:
 
C) -0.28 (-7.3)
You might be interested in
. Denise has multiplied (2r – 3)(2r + 3) to get 4r2 – 9. After looking at her work, Hyder says her solution must be incorrect be
makvit [3.9K]

Answer:

The answer is 4r² – 9

Denise answer is correct.

Step-by-step explanation:

One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method

Using the FOIL method (Used for multiplying binomials)

F stands for first

O stands for outer

I stands for inner

L stands for last

In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.

So, for the equation  (2r – 3)(2r + 3)

First : (2r)(2r) = 4r²

Outer : (2r)(+3) = 6r

Inner : (–3)(2r) =  – 6r

Last :  (–3)(+3) =  – 9

Adding the results we get

4r² + 6r – 6r – 9 (+6r and – 6r cancels out)

= 4r² – 9

∴ (2r – 3)(2r + 3) = 4r² – 9

Hence, Denise answer is correct

5 0
3 years ago
How do you get 14 divided by 9 as a decimal
solong [7]

Answer:

14 divided by 9 = 1.5

The result of 14/9 is a non-terminating, repeating decimal.

5 0
2 years ago
Read 2 more answers
Thank you to whoever answers! :))
Elena L [17]

Answer:

C. Points L,J and K are collinear.

Step-by-step explanation:

Collinear points are points that lie on the same line. So in the picture only the points L,J and K are collinear.

8 0
2 years ago
Read 2 more answers
Your team gets an ice sculpture in the shape of a basketball. It has a radius of 12 inches. What is the volume of the ice? Use 3
horsena [70]
The answer is 7234.56 inches cubed. The equation to find the volume of a sphere is 4/3*pi*r^3.

The equation would be 4/3 * 3.14 * 12^3.

4/3 * 3.14 * 1728

4/3 * 5425.92

7234.56
4 0
3 years ago
Read 2 more answers
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 130 and a standard deviation of
valina [46]
Average systolic blood pressure = x = 130
Standard deviation = s = 6

We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.

According to the empirical rule:
a) 68% values lie within 1 standard deviation of the mean
b) 95% values lie within 2 standard deviation of the mean
c) 99.7% values lie within 3 standard deviation of the mean

So, 99.7% value will lie within 3 standard deviations from the mean.

We can express this range as:
( x - 3s, x + 3s)
= (130 - 3(6), 130 +3(6))
= ( 130 - 18, 130 + 18)
= ( 112, 148 )

Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town
5 0
3 years ago
Other questions:
  • Can anyone solve this?<br> If You can please help.
    5·1 answer
  • a store is having a 30% off sale on their whole store a sweater costs 245$ what will it cost after the 30% was taken off​
    10·2 answers
  • How do. You solve <br> {4+3[2^3÷2
    15·1 answer
  • Please help me please
    11·1 answer
  • What is the linear transformation of y=2x+5
    9·2 answers
  • What is the relationship of the 6's in 966?
    6·2 answers
  • Please give me the correct answer ​
    14·1 answer
  • + listen
    6·2 answers
  • PLEASE!!!! I NEED AN ANSWER
    13·1 answer
  • Find the average rate of change of each function on the interval specified.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!