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PilotLPTM [1.2K]
2 years ago
12

Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions. -w − z = z − w = w − z =

Mathematics
1 answer:
Elodia [21]2 years ago
4 0

Answer:

Concept: Linear Algebra

  1. Given two linearly independent vectors w and z
  2. We want -w-z
  3. Hence apply a negative gradient to w
  4. w=-<-5,3> =<5,-3>
  5. So <5,-3>-<1,4> = (<5-1>,<-3-4>)
  6. The answer is <4,-7>
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Which expression represents 10 times the sum of 2 and 1?
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The expression would be

10(2+1)

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If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(-2)?
Shkiper50 [21]

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68

Step-by-step explanation:

I'm going to assume you meant "what is the value of f(g(-2))?"

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A personal computer is bought for $2860. A down payment of $520 is made. The remainder of the cost is paid in 20 equal payments.
Zanzabum

Answer:

C.None of these

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3 years ago
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Isabel received 4/7 of the 210 votes for cast for class treasurer. How many votes did she receive? Write your answer in simplest
KengaRu [80]

Answer:

120 votes

Step-by-step explanation:

So one way to solve this is by creating an equation to solve for x.

So we are given 4/7, that will be one side of the equation.  

And we are trying to figure out how many votes out of the 210 she received, so on the other side of the equation we will have x/210, since we are solving for x.  

So 4/7 = x/210

We want to get x alone, so we can multiply 4/7 by 210, which equals 120.

So x equals 120!

8 0
3 years ago
Can someone help we this and explain how to do it?
igomit [66]

Answer:

(0, 4) and (- 4, 0)

Step-by-step explanation:

We require the equation of the circle

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius is the distance from the centre to a point on the circle

To calculate r use the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (\sqrt{12}, - 2)

r = \sqrt{((\sqrt{12 )^2 - 0)+(-2-0)^2} }

  = \sqrt{12+4} = \sqrt{16} = 4, hence

x² + y² = 16 ← equation of circle

given y - x = 4 ⇒ y = x + 4

Substitute y = x + 4 into the equation of the circle

x² + (x + 4)² = 16 → distribute and simplify left side

x² + x² + 8x + 16 = 16

2x² + 8x + 16 = 16 ( subtract 16 from both sides )

2x² + 8x = 0

2x(x + 4) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x + 4 = 0 ⇒ x = - 4

Substitute these values into y = x + 4 for corresponding y- coordinates

x = 0 : y = 4 ⇒ (0, 4)

x = - 4 : y = - 4 + 4 = 0 ⇒ (- 4, 0)

The points of intersection are (0, 4) and (- 4, 0)

8 0
3 years ago
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