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Gekata [30.6K]
3 years ago
9

Vector AB has initial point (4,3) and terminal point (-5,1) . Determine the coordinates of the terminal point of AC if AC= -2AB

.
Mathematics
1 answer:
Liula [17]3 years ago
3 0
Vector AB can be calculated:
AB = <bx-ax , by-ay>
AB= <-5-4 , 1-3>
AB= <-9 , -2>

AC = -2*AB
AC = -2 *<-9 , -2>
AC = <18 , 4>

Now we can calculate coordinates of point C:
AC = <cx-ax , cy-ay>
<18 , 4> = <cx-4 , cy-3>
18=cx-4
cx=22
4=cy-3
cy=7

Coordinates of the terminal point C (22,7).
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Let the number of rows be = r

Let the number of seats per row be = s

we know that the number of seats is 126.

So, s\times r=126    ..... (1)

As given, there are five more seats per row than the number of rows, so we can say that:

s=r+5

Putting this in equation (1)

(r+5)*r=126

r^{2}+5r=126

r^{2}+5r-126=0

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(r+14)(r-9)=0

r=-14 and r=9 (neglecting the negative value) we get r=9

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3 years ago
A grocery store sells a 7 oz bag of raisins for $1.10 and a 9 oz bag of raisins for $1.46. which size bag has the lower price pe
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Answer:

Step-by-step explanation:

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Question 1 (1 point)<br> Which equation can be represented by a graph with a vertex at (1,3)?
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Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

f(x) = a {(x - h)}^{2}  + k

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g(x) = a  |x - h|  + k

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This means

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I hope this explanation is helpful.

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