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vodka [1.7K]
3 years ago
9

Is (1,2) the point of intersection of y=3x-1 and y=-x+3?​

Mathematics
1 answer:
Luden [163]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

Solving the 2 equations to find the point of intersection

y = 3x - 1 → (1)

y = - x + 3 → (2)

Since both equations express y in terms of x, equate the right sides

3x - 1 = - x + 3 ( add x to both sides )

4x - 1 = 3 ( add 1 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 in (2)

y = - 1 + 3 = 2

Thus (1, 2) is the point of intersection

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Answers:

B = 50

a = 10.9

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================================================

Explanation:

This is a right triangle, so the acute angles are complementary, meaning they add to 90

B+40 = 90

B+40-40 = 90-40

B = 50

Also, because this is a right triangle, we can use trig ratios to compute the missing sides

tan(angle) = opposite/adjacent

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a = 13*tan(40)

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cos(40) = 13/c

c*cos(40) = 13

c = 13/cos(40)

c = 17.0

note: make sure your calculator is in degree mode

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