Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.
Evaluate the exponents
Evaluate the sum
Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.
Evaluate the quotient
Take the arc tan of both sides
Evaluate
Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
brainly.com/question/4931057
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Hello :)
The first thing you want to do is use foil
F- first O- outer I-inner L-last
Lets start with F ( first)
6 × 3 = 18
Now, lets do O (outer)
6 × 2√10 = 12√10
<em>how to do it ?</em>
(6×2=12 and keep √10)
Then, we are going to do I ( inner)
(-√5) × 3= -3√5
<em>how to do it ?</em>
remove the parenthesis
-√5 × 3= -3√5
Lastly, we are going to do L (last)
(-√5) × 2 √10= -10√2
<em>how to do it ?</em>
remove the parenthesis from (-√5), then factor 2 √10
-√5 × 2
-√5 × 2 √5√2
there are two 5's so we use our radical rule √a√a=a
-2 × 5√2=-10√2
The last thing you have to do is put them all together
18+12√20-3√5-10√2
Answer:
14
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
Answer:
1 -> d
2 -> c
3 -> g
4 -> b
5 -> a
6 -> i
7 -> h
8 -> e
9 -> j
10 -> f
Step-by-step explanation:
1) (3+7x)(6+2x)
= 18+6x+42x+14x²
=14x²+48x+18
2) (2u³-5u²-7u)(3u³+4u²)
=6u⁶+8u⁵-15u⁵-20u⁴-21u⁴-28u³
=6u⁶-7u⁵-41u⁴-28u³
3) (x+3)(2x²+10x+1)
=2x³+10x²+x+6x²+30x+3
=2x³+16x²+31x+3
4) (-6y²-6y)(-7y²-7y)
=42y⁴+42y³+42y³+42y²
=42y⁴+84y³+42y²
5) (5+x)(2x-10)
=10x-50+2x²-10x
=2x²-50
6) (2k³-4k²-4k)(7k²+2k)
=14k⁵+4k⁴-28k⁴-8k³-28k³-8k²
=14k⁵-24k⁴-36k³-8k²
7) (x-x²)(x²-x)
=x³-x²-x⁴+x³
=-x⁴+2x³-x²
8) (2u³-5u²-7u)(3u³+4u²)
=6u⁶+8u⁵-20u⁴-21u⁴-28u³-21u⁴
=6u⁶+8u⁵-41u⁴-28u³
9) (jk+xy)(7jk+9xy)
=7j²k²+9xyjk+7jkxy+9x²y²
=7j²k²+16xyjk+9x²y²
10) (-2y)(7y³-4y²)
=-14y⁴+8y³
