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Aleks [24]
3 years ago
6

(1 pt)

Mathematics
1 answer:
Karolina [17]3 years ago
4 0
C. they are worth the same amount of money, 1/2 and 2/4 are both 50% or 50 cents
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Which of the following are solutions to the system
Tomtit [17]

Answer:

A & B

Step-by-step explanation:

5x - 2y = 10 (1)

-2.5x + y = -5 (2)

When you multiply (2) by -2, you get (1), so there can be many solutions

To choose from the given options, plug in the values to check which ones satisfy the equation

5x - 2y = 10

A) (2,0)

5(2) - 2(0) = 10

10 = 10 (true statement)

B) (-2,-10)

5(-2) - 2(-10) = 10

-10 + 20 = 10

10 = 10 (true statement)

5 0
3 years ago
(Will give Brainliest/5 Stars if correct answer)
tensa zangetsu [6.8K]
Answer: Choice D) 
The angle between the two vectors is approximately 71.6 degrees

----------------------------------------------
----------------------------------------------

Work Shown: 

Each time I write the word "dot" I mean "dot product". 

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

-----------------------

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

-----------------------

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

-----------------------

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

7 0
3 years ago
Please solve it ASAP 50 points
TiliK225 [7]

Answer:

?

.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
a carpenter can install 8 sheets of drywall in 10 minutes at this rate how long does it take to install one sheet of drywall how
Bezzdna [24]

I got A. 1.25 minutes; 1.25 hours. Hope that helps!

6 0
3 years ago
Read 2 more answers
F(x)=8x^2-2x+3<br> g(x)=12x^2+4x-3<br> what is h(x)=f(x)-g(x)?
Trava [24]

Answer: h(x)=-4x^2-6x+6

Step-by-step explanation:

To find the function h(x), you need to subtract the function f(x)=8x^2-2x+3 and the function g(x)=12x^2+4x-3.

h(x)=f(x)-g(x)\\h(x)=8x^2-2x+3-(12x^2+4x-3)

Distribute the negative sign:

h(x)=8x^2-2x+3-12x^2-4x+3

Now you can add the like terms:

h(x)=-4x^2-6x+6

Therefore, you get that the function h(x) is:

 h(x)=-4x^2-6x+6

6 0
3 years ago
Read 2 more answers
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