The answer is:
C. The slope -3/5
Because -3/5 times 5 is -3 and when you combine -3 and 10 the answer is 7 and 7=7 (the y)
Step-by-step explanation:
What we are trying to show is the alternative hypothesis. Here, we are trying to show that what the company claims is wrong; less than 80% of the company's customers are under 30.
The two cars will be 5.5 miles apart after 5.5 hours.
Step-by-step explanation:
Given,
Speed of first car = 57 mph
Time = 5.5 hours
Distance covered by first car = Speed * Time
Distance covered by first car = 57*5.5 = 313.5 miles
Speed of other car = 58 mph
Distance covered by other car = 58*5.5 = 319 miles
Difference = 319 - 313.5
Difference = 5.5 miles
The two cars will be 5.5 miles apart after 5.5 hours.
Keywords: speed, distance
Learn more about distance at:
#LearnwithBrainly
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span> = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>
(8,12)(14,3)
Use midpoint formula
(X1+x2/2, y1+y2/2)
Substitute with your points
(8+14/2, 12+3/2)
Solve each
(22/2,15/2)
Cancel common factor 2
(2×(4+7)/2(1),15/2)
Simplify
(4+7/1,15/2)
This is your midpoint
(11, 15/2)
