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2 years ago

What are the values of a, b, and c in the matrix addition below?

Mathematics

1 answer:

Leni [432]2 years ago

4 0

Answer:

a = -14

b = -9

c = -12

Step-by-step explanation:

We have a two matrix and perform addition of matrix.

In solution matrix given three unknown a, b, & c.we need to find the value of a,b & c.

Firstly we will find the value of a.

Here "a" is first element in second row, so we will add first element of second row from both matrix

-10 - 4 = a

a = -14

Now we will find the value of b

3 - 12 = b

b = -9

Now we will find the value of c

- 9 - 3 = c

c = -12

Final answer is:

a = -14

b=-9

c = -12

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Find the value of n, correct to 4 significant figures.

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Answer:

6.708

Step-by-step explanation:

Y varies directly as the square of x (Given)

$\implies y\:\alpha \:x^2$ ......(1)

Y varies inversely as the square root of z (Given)
$\implies y\:\alpha\: \frac{1}{\sqrt z}$ ......(2)

Combining (1) & (2), we find:

$y\:\alpha \:\frac{x^2}{\sqrt z}$

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Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

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Plugging the value of k in (3), we find:

$y=\frac{4x^2}{9\sqrt z}$ ....(4)

Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

$5=\frac{4(n)^2}{9\sqrt {16}}$

$\implies 5=\frac{4(n)^2}{9(4)}$

$\implies 5=\frac{(n)^2}{9}$

$\implies 5(9)=(n)^2$

$\implies 45=(n)^2$

$\implies n=\sqrt{45}$

$\implies n=6.70820393$

$\implies n\approx 6.708$

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What is the logarithmic formula 10000= 625/8*2^t ?

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Answer:

log(128) = t·log(2)

Step-by-step explanation:

You can take logarithms the way the formula is, or you can simplify it first.

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<u>Simplified</u>

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_____

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