Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
Answer:
66.5 square feet
Step-by-step explanation:
We have to find the area of the doghouse which is in the shape of right trapezoid . that is, Substitute the values, we get, Hence, Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.
Yes, you can check this by setting the fractions equal to eachother and cross multiplying them. In this case both are equal to 100 therefore they're the same thing
Answer:
1 - 9/7n
Explanation:
1/7 - 3(3/7n - 2/7)
<em>distribute</em><em> </em><em>the</em><em> </em><em>3</em><em> </em><em>with</em><em> </em><em>the</em><em> </em><em>2</em><em> </em><em>fractions</em><em> </em><em>inside</em><em> </em><em>the</em><em> </em><em>parenthesis</em>
1/7 - 9/7n + 6/7
<em>add</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em><em>(</em><em>1</em><em>/</em><em>7</em><em> </em><em>+</em><em> </em><em>6</em><em>/</em><em>7</em><em>)</em>
7/7 - 9/7n
<em>or</em>
1 - 9/7n
Answer:
y= - 1/2(2)^(x)-2
Step-by-step explanation:
you could check on a graphing calculator