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2 years ago

Explain why this matrix equation has no solution: A + 11 17 −8 13 = 0 0 0 0

Mathematics

2 answers:

Gnoma [55]2 years ago

8 0

If you mean

$A+\left[\begin{array}{cccc}11&17&-8&13\end{array}\right]=\left[\begin{array}{cccc}0&0&0&0\end{array}\right]$

there is a solution and it is the opposite of the matrix constant on the left.

$A=\left[\begin{array}{cccc}-11&-17&8&-13\end{array}\right]$

Adding anything with its opposite gives zero.

yulyashka [42]2 years ago

5 0

Answer:

Sample Response – The two matrices are different sizes. It is not possible to add matrices with different sizes.

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PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug

Wewaii [24]

Answer:

The shortest distance is 2.2 miles

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

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2 years ago

Assuming no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales b

alexira [117]

Answer:

Step-by-step explanation:

Given that we assume no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales budget, the Deal product manager wishes to achieve a product contribution margin of 35%.

Sales - variable cost = Fixed cost + profit

Here fixed cost = 3 million dollars

Sales - variable = contribution = 35%

35% should atleast meet the fixed cost

i.e. 35% = 3 million

100% = 8.57 million can be cost

Since fixed cost will not change and remain 3 million these 5,57 million can be given to material and labor costs

So material and labor cost should be limited upto 5.57 million increase.

3 0

2 years ago

5. Whitney deposits $9,000 for 2 years. She compares two different banks. State

Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

$A=P(1+r)^t$

And, amount formula in continuously,

$A=Pe^{rt}$ ,

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

$A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969$

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

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Also, interest earned compound continuously,

Thus, amount,

$A=9000e^{0.0201\times 2} = \$ 9369.171$

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

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2 years ago

Write the equation 2x 2 - 4x + 6 = 1 in standard form and then choose the value of "c."

Karolina [17]

It is 5
2x2 -4x +6-1= 0 is the standard form

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2 years ago

Read 2 more answers