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KiRa [710]
3 years ago
11

Evaluate the dot product of (7, 5) and (- 5, 4)

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

The dot product of (7,5) and (-5,4) is -15

Step-by-step explanation:

Given

(7,5) and (-5,4)

Required

Determine the dot product

Dot product is calculated using the following formula;

a.b = {a_1b_1+a_2b_2+...+a_nb_n}

Let a = (7,5) and b = (-5,4);

The above formula becomes

a.b = {7*-5+5*4}

a.b = {-35+20}

a.b = {-15}

Hence, the dot product of (7,5) and (-5,4) is -15

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Solve the system of equations using multiplication. 3x – 3y = –3 5x – y = –13 What is the solution of the system?
love history [14]

ANSWER

The solution is

x=-3,y=-2

EXPLANATION

First equation

3x – 3y = –3

Second Equation:

5x – y = –13

Multiply the second equation by 3 to get:

Third equation:

15x-3y=-39

Subtract the first equation from the third equation:

15x - 3x =  - 39 -  - 3

12x =  - 36

Divide both sides by 12,

x =  \frac{ - 36}{12}  =  - 3

Put x=-3 into the first equation:

3( - 3) - 3y =  - 3

- 9  - 3y =  - 3

Group like terms,

- 3y =  - 3 + 9

- 3y = 6

y =  - 2

The solution is

x=-3,y=-2

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3 years ago
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Answer:

the number --4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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