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Pachacha [2.7K]

3 years ago

7

Find the value of r, if K is between J and L. if JK = 6r, KL = 3r, and JL = 27

2 answers:

Ne4ueva [31]3 years ago

5 0

6r 3r
J_______K_______L
--------------27------------

JK + KL = JL
6r + 3r = 27
9r = 27
r = 27/9
r = 3 <=====

Furkat [3]3 years ago

5 0

Answer:

3

Step-by-step explanation:

JK + KL = JL

6r + 3r = 27

9r = 27

r = 27/9

r = 3

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3 years ago

Assume that u⋅v=4, ‖u‖=5, and ‖v‖=3. What is the value of 4u⋅(4u−7v)?

shutvik [7]

Step-by-step explanation:

It is given that,

$u{\cdot}v=4\\\\|u|=5\\\\|v|=3$

We need to find the value of $4u{\cdot} (4u-7v)$

Firstly, we should simplify $4u{\cdot} (4u-7v)$

$4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v$

Now using distributive property : x(y-z)=xy-yz

So,

$4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288$

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