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2 years ago

If A is a square matrix of order 2, then det(-3A) is *

Mathematics

2 answers:

Vsevolod [243]2 years ago

6 0

Answer:

c. 9 det A

Step-by-step explanation:

Given the following data;

Since A is a square matrix of order 2, we know that n = 2

K = 3

For any scalar k;

∣kA∣ = k^{n} ∣A∣

<em>Substituting into the equation;</em>

∣-3A∣ = -3²∣A∣

Simplifying, we have;

∣-3A∣ = 9∣A∣

= 9 detA

<em>Therefore, det (-3A) = 9 detA</em>

Angelina_Jolie [31]2 years ago

4 0

Answer:

free points :D

Step-by-step explanation:

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The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including

anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$

= 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

$=\frac{10}{24}$

$=\frac{5}{12}$

c). The percent of the roof used as overhung is

$=\frac{4+4}{60}\times 100$

$=\frac{80}{6}$

= 13.33 %

8 0

2 years ago

For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −78 °C. The phy

igor_vitrenko [27]

-3t < -78
÷-3 ÷-3
_________
t > 26

78÷26=3

4 0

3 years ago

Please show work for it.

Komok [63]

Answer:

7over9 or -7over9

Step-by-step explanation:

81x power 2 - 8 = 41

(left side) (right side)

first we let the 8 from left side go to the right side,so it will be +8:

81x power 2 = 41+ 8

=49

so now we let the 81 from left side go to right side, so it will be ÷81:

x power 2= 49 over 81

and now we let the power 2 (square) go to the other side so it will become square root:

x = + - √49 over 81

at the end, you will get 2 answers which is 7 over 9 and - 7 over 9

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3 years ago

Someone knows this ???

miskamm [114]

Answer:

1, 0 I know those for sure. Not sure about the others

Step-by-step explanation:

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2 years ago

"how many four-digit odd numbers are possible if the leftmost digit cannot be zero"

Oxana [17]

1123 will be a good answer

3 0

2 years ago