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Nadusha1986 [10]
2 years ago
9

" title=" \textbf{Can someone help me with this question ?} " alt=" \textbf{Can someone help me with this question ?} " align="absmiddle" class="latex-formula">
\texttt{Note : you have to use vector method,} \texttt{no use determinants, or Area of Triangle = 0}

\textsf{If points with given position vectors are} \textsf{collinear then find the value of " a "}

\qquad \sf{\vec{A} = 60 \hat{i} + 3\hat{j} }

\qquad \sf{\vec{B} = 40 \hat{i} - 8\hat{j} }

\qquad \sf{\vec{C} = a\hat{i} - 52\hat{j} }

​
Mathematics
1 answer:
ale4655 [162]2 years ago
8 0

Answer:

here we go dude sorry for dirty handwriting

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Read 2 more answers
Gabby received change worth $2.10. She received 3 more dimes than nickels and 4 less quarters than nickels. How many of each kin
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Answer:

Gabby received

7 nickels

10 dimes

3 quarters

Step-by-step explanation:

Let

x----> the number of dimes

y----> the number of nickels

z---> the number of quarters

Remember that

1 dime=$0.10

1 nickel=$0.05

1 quarter=$0.25

we know that

0.10x+0.05y+0.25z=2.10 ------> equation A

x=y+3-----> equation B

z=y-4 -----> equation C

substitute equation B and equation C in equation A and solve for y

0.10(y+3)+0.05y+0.25(y-4)=2.10

0.10y+0.30+0.05y+0.25y-1=2.10

0.40y=2.10-0.30+1

0.40y=2.80

y=7 nickels

<em>Find the value of x</em>

x=y+3 -----> x=7+3=10 dimes

<em>Find the value of z</em>

z=y-4 -----> z=7-4=3 quarters

therefore

Gabby received

7 nickels

10 dimes

3 quarters

6 0
3 years ago
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