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diamong [38]
3 years ago
12

What is the value of x? Enter your answer, as a decimal, in the box. ? cm

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

The value is 50.6cm

Step-by-step explanation:

In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.

32.2/46.2 = x/72.6

Now cross multiply to solve

72.6*32.2 = 46.2*x

2337.72 = 46.2x

50.6 = x

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Given y = 7/x² + 10

Let,

y = f(x)

f(x) = 7/x² + 10

And,

g(x) = x²

Hence, f(g(x))

Reason is;
You have to rewrite f(x) so that it can fit in g(x) into the equation

f(x) = 7/g(x) + 10
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When is it necessary to apply the Distributive Property?
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Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -
irina [24]

Answer:

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

Step-by-step explanation:

Given

T:R^3->R^2

T(e_1) = (1,2)

T(e_2) = (-4,6)

T(e_3) = (2,-6)

Required

Find the standard matrix

The standard matrix (A) is given by

Ax = T(x)

Where

T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]

Ax = T(x) becomes

Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]

The x on both sides cancel out; and, we're left with:

A = [T(e_1)\ T(e_2)\ T(e_3)]

Recall that:

T(e_1) = (1,2)

T(e_2) = (-4,6)

T(e_3) = (2,-6)

In matrix:

(a,b) is represented as: \left[\begin{array}{c}a\\b\end{array}\right]

So:

T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right]

T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right]

T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right]

Substitute the above expressions in A = [T(e_1)\ T(e_2)\ T(e_3)]

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

Hence, the standard of the matrix A is:

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

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