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Alex17521 [72]
3 years ago
15

At what point do 3x-2=26 and 5x=7y+58 intersect?

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

3x-2=26\qquad\text{add 2 to both sides}\\\\3x=28\qquad\text{divide both sides by 3}\\\\\boxed{x=\dfrac{28}{3}}\\\\\text{Put the value of x to the second equation}\ 5x=7y+58\\\\5\left(\dfrac{28}{3}\right)=7y+58\qquad\text{multiply both sides by 3}\\\\(5)(28)=21y+174\\\\140=21y+174\qquad\text{subtract 174 from both sides}\\\\-34=21y\qquad\text{divide both sides by 21}\\\\\boxed{y=-\dfrac{34}{21}}\\\\Answer:\ \boxed{\left(\dfrac{28}{3},\ -\dfrac{34}{21}\right)}

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Picture provided help!
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Answer:

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Step-by-step explanation:

u = -9i + 8j

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2u = 2(-9i + 8j) = -18i + 16j

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3 years ago
The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
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Answer:

<h2>The area of the triangular base = 8 ft²</h2>

Step-by-step explanation:

The formula of a volume of a prism:

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Substitute:

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3 years ago
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Answer:

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