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3 years ago

Classify by it’s sides then determine if the triangle is a right triangle.

Mathematics

1 answer:

rewona [7]3 years ago

7 0

Answer:

scalene

Step-by-step explanation:

all 3 sides are different lengths

i cannot see a right angle

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Determine if the given function is a linear transformation. t(x1, x2, x3) = (−2x2, 6x3)

Zepler [3.9K]

$T:\mathbb R^3\to\mathbb R^2$ will be linear if for any $\mathbf x,\mathbf y\in\mathbb R^3$ and constants $a,b\in\mathbb R$ , we have

$T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)$

Let $\mathbf x=(x_1,x_2,x_3)$ and $\mathbf y=(y_1,y_2,y_3)$ , and let $a,b$ be any two scalars. Then

$a\mathbf x+b\mathbf y=(ax_1+by_1,ax_2+by_2,ax_3+by_3)$

By definition of $T$ , we have

$T(a\mathbf x+b\mathbf y)=(-2ax_2-2by_2,6ax_3+6by_3)$
$T(a\mathbf x+b\mathbf y)=(-2ax_2,6ax_3)+(-2by_2,6by_3)$
$T(a\mathbf x+b\mathbf y)=a(-2x_2,6x_3)+b(-2y_2,6y_3)$
$T(a\mathbf x+b\mathbf y)=aT(\mathbf x)+bT(\mathbf y)$

Therefore $T$ is a linear transformation.

5 0

3 years ago

Find the length of side FD given that

Dafna1 [17]

Answer:

Step-by-step explanation:

Find the length of side FD given that

Since both triangles are similar, then

AB= FD

2x+2 = x+3

Collect like terms

2x-x =3-2

x = 1

Get FD

FD = x+3

FD = 1+3

FD = 4

Hence the measure of FD is 4

5 0

3 years ago

Find the area of the semicircular desk. Round your answer to nearest hundredth.

laiz [17]

Answer:

Its about 36 feet

Step-by-step explanation:

I took this question before.

5 0

3 years ago

Read 2 more answers

What number equals to the 3/5 part of 1,8?

anastassius [24]

1.8 = 18/10
Then the number that’s equal to the 3/5 part of 1.8 is :
(18/10) multiplied by (3/5)
(18/10)(3/5) = 54/50 = 108/100 = 1.08
Then our number is 1.08

6 0

3 years ago

the area of a square can be represented by the expression X to the 10th. Which my normal represents the side of the square?

GalinKa [24]

Answer:

x^5

Step-by-step explanation:

Because the area of a square can be found by squaring one of its side lengths, we can set up this equation:

(x)^2 = x^10

Using properties of exponents, I know that I can turn the exponent of a similar base from 2 to 10 by multiplying it by 5. Therefore, I know that the side length of this square is x^5.

3 0

3 years ago