Find an ordered pair to represent t in the equation t=1/2u+v if u=(-1,4) and v=(3,-2)

Mathematics

2 answers:

Leona [35]3 years ago

7 0

Answer:

t=(2.5,0)

Step-by-step explanation:

Given that

$t=\frac{1}{2} u+v$

and

u=(-1,4)

v=(3,-2)

Then,substitute value of u and v in the equation

$t=\frac{1}{2} (-1)+3=-\frac{1}{2}+ (3)=2.5\\\\\\\\t=\frac{1}{2} (4)+-2=2+-2=0\\\\\\t=(2.5,0)$

Setler [38]3 years ago

4 0

Answer:

The answer on edge is C

Step-by-step explanation:

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Need some great assistance! Thanks!

Lostsunrise [7]

Answer:

Step-by-step explanation:

step by step explanation I'm probly wrong

7 0

3 years ago

What is the range of function y=√(-2cos^2x+3cosx-1)

Ugo [173]

Hello Friend,here is the solution for your question

so the given function is 
y= √(-2cos²x+3cosx-1)
i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)

Now here in this equation is this quantity :-
(cosx=3/4)²----------------(2) is to it's minimum value then the whole equation 
i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa 

And we know that cosx-3/4 will be minimum if cosx=3/4
therefore put this in (1) we get 
(cosx=3/4)²=0 [ cosx=3/4]
hence the minimum value of the quantity (cosx=3/4)² is 0 

put this in equation (1) 
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
 =√[1/8-3(0)] [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
 =√1/8
 =1/(2√2)

this is the maximum value now to find the minimum value 

since this is function of root so the value of y will always be ≥0 

hence the minimum value of the function y is 0 

Therefore, the range of function y is [0,1/(2√2)]

__Well,I have explained explained each and every step,do tell me if you don't understand any step._

8 0

3 years ago

Sara is collecting signatures to pu on her towns ballot. So far, she has 432 signatures. This is 36% of the number of signatures

In-s [12.5K]

Sara needs to collect 1200 signatures.

Step-by-step explanation:

Let,

x be the total number of signatures she needs to collect

Given percentage = 36%

Signature collected = 432

According of statement;

36% of x = 432

$\frac{36}{100}*x=432\\$

$\frac{36x}{100}=432\\Multiplying\ both\ sides\ by 100\\100*\frac{36x}{100}=432*100\\36x=43200\\Dividing\ both\ sides\ by\ 36\\\frac{36x}{36}=\frac{43200}{36}\\x=1200$