8(c-12)=40 that gonna be equal to 8c-96=-40 or 8c=-40+96 ,8c =56 divide both sides by 8 that equal to 7.....
The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
<u>Step-by-step explanation:</u>
<u>1.Finding the magnitude,</u>
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
<u>2.Finding the unit vector</u>
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10
Answer:
<h3>
2642km</h3>
Step-by-step explanation:
Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;
D = 
Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km
Hence the birds distance in km will be 2642km to the nearest kilometers
Find the perimiter now
that is right triangle so
when hpotonouse is c and hthe lgs are a and b
a²+b²=c²
given
leg is 8
hypotonuse is 13
8²+b²=13²
64+b²=169
minus 64 from both sides
b²=105
sqrt both sides
b=√105
find total perimiter
8+13+√105=21+√105
times 1/32 for scale
0.65625+0.32021721143623744947565745876628=
0.97646721143623744947565745876628 m=
97.646721143623744947565745876628 cm
A is the answer
Answer:
m ≥ –6
Step-by-step explanation:
m+5 ≥ –1
subtract 5 from both sides
m ≥ -6