Given that r = (7,3,9) and v=(3,7,-9), evaluate r + v. A. (-21,-21,81) B. (10,10,0) C. (21,21,-81) D. (-10,-10,0)

Answers

Answer 1
Answer:

Answer:

   B.  (10, 10, 0)

Step-by-step explanation:

Each component of the sum is the sum of corresponding components:

  r + v = (7, 3, 9) +(3, 7, -9) = (7+3, 3+7, 9-9) = (10, 10, 0)


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You start at (0, -2). You move down 3 units. Where do you end?

Answers

Answer:

(0, -5)

Step-by-step explanation:

When you move down you subtract the amount from the y-axis.

The perimeters of similar triangles are in the same ratio as the corresponding sides. a. True
b. False

Answers

truth

ewidence
k - scale similarities
a,b,c = 
sides of the triangle
p - perimeter of a triangle

k*a + k*b + k*c = k(a+b+c) = k*p

triangles
a = 3
b = 15
c = 14

triangles 1:2
2a = 2*3 = 6
2b = 2*15 = 30
2c = 2*14 = 28





What is the volume of a sphere with the radius of 2 cm?

Answers

V=43πr3=43·π·
333.51032 =33.51 is the answer
Short Answer: 33.5cm3. 

Longer Answer: The formula for volume of a sphere is ( 4 * pi * radius^3) / 3. So, when the radius is 2cm, then it would be ( 4 * 3.14 * 2^3) / 3. We have to do the exponents first, so 2 ^ 3 is 2 * 2 * 2 = 8. Then, we solve the rest of the expressions within the bracket, which will give us ( 100.48 ) / 3, and that equals 33.5

I am confused on numbers 25 and 29, the instructions are at the top.

Answers

Pretty sure you already had something posted about this... in case you've lost it, or have questions:

#25 is fairly simple.  Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
√(12-(-4)) = √(16) = \frac{+}{}4
Extraneous root in this case is positive four since +4≠-4
√(12-3) = √(9) = \frac{+}{}3
In this case it's negative 3, since -3≠3

#29 can be turned into a quadratic equation.
x= √(2x+3)
Square both sides to get
x^(2)=2x+3
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
x^(2)-2x-3=0
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1.  Plug both back into the original equation.  Whichever does not work is the extraneous root, and the answer is the one that does.
x= √(2x+3)
3= √(2(3)+3)
3= √(9)
Extraneous root would be negative 3.

-1= √(2(-1)+3)
-1= √(1)
Extraneous root would be positive 1.

Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.

Paint is red : blue in a ratio of 2 : 4. If 5 litres of red is used how much blue is used

Answers


so since the ratio of red paint to blue paint is 2:4 and you can simplify 2:4 into 1:2 and because 5 liters of paint is used you would have to multiply the 2 from the simplified ratio by 5 so you could get the answer  2*5 and that equals 10

During a period of deflation, the graph of the consumer price index (CPI) will rise. True ? Or False ?

Answers

During a period of deflation, the graph of the consumer price index (CPI) will rise. False

Why is Deflation a problem?

Economists fear deflation due to the fact falling expenses causes a decrease in customer spending, which is a prime thing of economic growth. companies reply to falling charges by slowing down their production, which results in layoffs and revenue reductions. This similarly lowers call for and costs.

What happens when there is Deflation?

Deflation is when purchaser and asset charge lower over time, and purchasing strength will increase. essentially, you may purchase greater items or services the day after today with the equal amount of cash you have today. that is the mirror photograph of inflation, that's the sluggish boom in charges across the economic system.

Learn more about Deflation at brainly.com/question/13562161

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