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weqwewe [10]
4 years ago
7

​a/an ______ angle measures less than 90degrees°​, ​a/an ______ angle measures 90degrees°​, ​a/an ______ angle measures more tha

n 90degrees° and less than 180degrees°​, and​ a/an ______ angle measures 180degrees°.
Mathematics
1 answer:
Nadya [2.5K]4 years ago
6 0
Acute
Right
Obtuse
Straight
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Suppose x and y are nonzero vectors in an inner product space. Show that x and y are orthogonal if and only if ||x+y|| = ||x-y||
harkovskaia [24]

Answer:

Step-by-step explanation:

Suppose x and y are nonzero vectors in an inner product space.

Let us assume that x and y are orthogonal

i.e. innter product is 0.

This implies dot product of x and y is 0

Then x.y =0

i.e. x^2+y^2 +2x.y = x^2+y^2-2x.y\\||x+y||=||x-y||

Proved

Converse part:

Let ||x+y||=||x-y||

Square also would be equal

||x+y||^2=||x-y||^2\\||x||^2+||y||^2+2x,t=||x||^2+||y||^2-2x.y\\x.y =0

Hence inner product of x and y is 0

7 0
3 years ago
What is the equation of the line in slope-intercept form?
vova2212 [387]

Answer:

y = -3/2x - 2

y int is -2

x int is -3/2

4 0
3 years ago
(8x + 31) X<br> (16x - 9)
Marysya12 [62]

Answer:

<u>128x^2+424x-279 </u>

Step-by-step explanation:

Use the distributive property to get the answer

Use this for refrence https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-ditributive-property/a/distributive-property-explained

Hope this Helps!

7 0
4 years ago
Read 2 more answers
Solve the equation. √1 - 2b = 1 + b<br> 1. 0 and 4<br> 2. -2 only<br> 3. 0 only<br> 4. 0 and -2
slava [35]
\sqrt{1-2b} = 1 + b \\ \\ 1 - 2b = (1 + b)^2 \\ \\ 1 - 2b = 1 + 2b + b^2 \\ \\ -2b = 2b + b^2 \\ \\ 2b + 2b + b^2 = 0 \\ \\ 4b + b^2 = 0 \\ \\ b(4 + b) = 0 \\ \\ b = 0, -4 \\ \\ b = -4 \ is \ false \\ \\ b = 0

The final result is, C) 0 only.

We gathered the solutions of b = 0, -4.
b = -4 was not true so we had to remove it from the solution set, and we are left with b = 0 now. You can check this answer by substituting 0 in for b in the original equation. You should get 1 = 1, which is the correct answer.
3 0
3 years ago
PLEASE HELP WILL GIVE BRANILYEST
Ivahew [28]

No because to get a proportional relationship you have to add the same number to all x to get y

8 0
4 years ago
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