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3 years ago

Evaluate A + 3B if possible. HELP ASAP!

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

Answer:

Not possible.

Step-by-step explanation:

Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.

Order of a matrix with $m$ rows and $n$ columns is $m\times n$ .

Here, matrix A is $\left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]$

Matrix B is $\left[\begin{array}{ccc}0&-4&6\\2&-10&4\end{array}\right]$ .

Multiplying a matrix by a constant doesn't change its order.

So, order of matrix A is $3\times 2$ as it has 3 rows and 2 columns.

The order of matrix 3B is $2\times 3$ as it has 2 rows and 3 columns.

Therefore, addition is not possible as the order is different.

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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t

Lorico [155]

Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

$\bf \textit{using the pythagorean theorem}
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c^2=a^2+b^2
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c=hypotenuse\\
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$\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
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\textit{and then we can \underline{rationalize the denominator} }
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a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}$

7 0

3 years ago

Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT.

seraphim [82]

Answer:

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As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

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By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

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3 years ago

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8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
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3 years ago

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stich3 [128]

Answer:

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3 years ago

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Masja [62]

Step-by-step explanation:

the side on the left of 155 is 180-155 which is 25

the one on top of 120 is 180-120 which is 60 so the one on the right of x is 180-(25+60) which is 95

now the value of x is 180-95 which is 85.

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for the first one x=85

the second one x=80

3 0

2 years ago

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