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monitta
3 years ago
9

What is the length of XY?

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer: The length of XY is 30.

Step-by-step explanation:

-According to the figure, ΔXYZ is congruent to ΔXWZ.

So, if the length of WX is 30, then the length of XY is also 30, because WX = XY.

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let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep
Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

x_1,x_2 and x_3 are linearly independent.

By definition of linear independent there exits three scalar a_1,a_2 and a_3 such that

a_1x_1+a_2x_2+a_3x_3=0

Where a_1=a_2=a_3=0

y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1

We have to prove that y_1,y_2 and y_3 are linearly independent.

Let b_1,b_2 and b_3 such that

b_1y_1+b_2y_2+b_3y_3=0

b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0

b_1x_2+b_1x_1+b_2x_3+b_2x_2+b_3x_3+b_3x_1=0

(b_1+b_3)x_1+(b_2+b_1)x_2+(b_2+b_3)x_3=0

b_1+b_3=0

b_1=-b_3...(1)

b_1+b_2=0

b_1=-b_2..(2)

b_2+b_3=0

b_2=-b_3..(3)

Because x_1,x_2 and x_3 are linearly independent.

From equation (1) and (3)

b_1=b_2...(4)

Adding equation (2) and (4)

2b_1==0

b_1=0

From equation (1) and (2)

b_3=0,b_2=0,b_3=0

Hence, y_1,y_2 and y_3 area linearly independent.

5 0
3 years ago
The diameter of a basketball is 9.50 inches. What is the volume of the ball, rounded to the nearest hundredth?
Lady_Fox [76]
448.92 cubic inches tell me if im right

8 0
2 years ago
Read 2 more answers
Please help me with this ​
mrs_skeptik [129]

Answer:

the second one

Step-by-step explanation:

the second one is the right answer

6 0
2 years ago
Read 2 more answers
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=20°, and GE = 75 feet. Find the length of EF to the nearest tenth of a foot.
LenKa [72]

Answer:80 feet

Step-by-step explanation:

Sum of < in a triangle is 180°

<G + <E + <F=180°

90 + 20 + < F = 110

< F = 70°

Using sine rule

sin G\EF = sin F\EG

sin90°\EF = sin70°\75

EF = 75sin90°\sin70°

= 79.81

=80 to the nearest tenth feet.

7 0
3 years ago
The value of which of these expressions is closest to e?
pishuonlain [190]
The correct answer for the exercise shown above, is the first option (Option A), which is:

 A. <span>(1+1/18)^18

 The explanation is shown below:

 1- You have that the number e is an irrational number, therefore, its value is aproximated:

 e=2.7182

 2- You have the following expressions:

 </span>(1+1/18)^18=2.6464 
 <span>(1+1/17)^17=2.6424
 </span><span>(1+1/16)^16=2.6379
 </span><span>(1+1/15)^15=2.6328

 Therefore the value of the expression that is closest to e is the Option A.</span>
5 0
3 years ago
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