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aliina [53]
3 years ago
11

Do the graphs of 4y=(x-3)^2 and 3x-y=14 intersect at (5,1)

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

it will happen if both y and x components be equal

so

y= (x-3)²/4 , y = 3x- 14

3x - 14 = (x-3)²/4

12x - 56 = x²-6x + 9

x² - 18x + 65 = 0

delta = 18²-4*65 = 64

x1 = (18 + (64)^(1/2))/2 = 13

x2 = (18 - (64)^(1/2))/2 = 5

one point is x = 5 but we should check if on that point y component is 1 or not

y = (5-3)²/4 = 1

so the functions will intersect at (5,1)

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valkas [14]
( - 14x^3)(y^3) + 4x^5y^6)/(2x^4y^5)

= 4x^5y^6  - 14x^3y^3/2x^4y^5


= 4x^2y^3  - 14/2xy^2


= 2x^2y^3  - 7/xy^2


Answer:   2x^2y^3 - 7/xy^2




Hope that helps!!!!
7 0
3 years ago
The picture below shows a pole and its shadow: A pole is shown with a right triangle side. The right triangle has hypotenuse 113
never [62]
The correct answer is 112 centimeters

Hope this helped :)
4 0
3 years ago
Read 2 more answers
Which value of y will make the inequality y < -1 false ?
scoray [572]
Hello!

Since y has to be less than -1 to make it false y has to be greater than -1

The answer 2 or just any number that is greater than -1

Hope this helps!
6 0
3 years ago
A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purc
grin007 [14]

Answer:

The original price of her purchase was $65.

Step-by-step explanation:

From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:

$13 →  20%

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x=(13*100)/20

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According to this, the answer is that the original price of her purchase was $65.

8 0
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Luden [163]

Answer:

Step-by-step explanation:

Circumference= πd = 27 cm

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3 0
3 years ago
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