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Dennis_Churaev [7]
3 years ago
8

Complete each ordered pair so that it is a solution of the given linear equation. x minus 5 y equals negative 3​; left parenthes

is comma 1 right parenthesis comma left parenthesis 7 comma right parenthesis
Mathematics
1 answer:
never [62]3 years ago
6 0

Answer: The ordered pairs are (2,1) and (7,2).

Step-by-step explanation:

Since we have given that

x-5y=-3

if y=1

we get that

x-5y=-3\\\\x-5(1)=-3\\\\x-5=-3\\\\x=-3+5\\\\x=2

If x= 7, we get that

x-5y=-3\\\\7-5y=-3\\\\-5y=-3-7\\\\-5y=-10\\\\y=\dfrac{10}{5}\\\\y=2

So, the ordered pairs are (2,1) and (7,2).

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Step-by-step explanation:

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Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)
Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

u*v = |u||v| cos \theta

\theta is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

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u*v = 72+49

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|v| = √9²+7²

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|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

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