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zhuklara [117]
3 years ago
7

If NS bisects QNR find the measure of QNR

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

both angles would equal the same so you have:

6x-57 = 2x+15

add 57 to each side:

6x = 2x+72

subtract 2x from each side:

4x = 72

 divide:

x = 72/4 = 18


now replace x with 18:


6(18) - 57 = 51

2(18) +15 = 51

51 +51 = 102

Angle QNR = 102 degrees


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A standard form of a parabola with points through (2, 0) (3, 2) (4, 6)
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The standard form of a parabola with points through (2, 0) (3, 2) (4, 6)

is y = x² - 3x + 2 ⇒ 3rd answer

Step-by-step explanation:

The standard form of a parabola is y = ax² + bx + c, where a, b , c are constant

To find a , b , c

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  • Substitute the coordinates of each point in the equation to make system of equations of a , b and c
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∵ The standard form of a parabola is y = ax² + bx + c

∵ The parabola passes through points (2 , 0) , (3 , 2) , (4 , 6)

- Substitute the coordinates of each point in the equation

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∵ x = 2 and y = 0

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∴ 0 = 4a + 2b + c

- Switch the two sides

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Point (3 , 2)

∵ x = 3 and 2 = 0

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∵ x = 4 and y = 6

∴ 6 = a(4)² + b(4) + c

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∴ 16a + 4b + c = 6 ⇒ (3)

Subtract equation (1) from equations (2) and (3)

∴ 5a + b = 2 ⇒ (4)

∴ 12a + 2b = 6 ⇒ (5)

- Multiply equation (4) by -2 to eliminate b

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∴ 2a = 2

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- Add like terms

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The standard form of a parabola with points through (2, 0) (3, 2)

(4, 6) is y = x² - 3x + 2

There is another solution you can substitute the x-coordinate of each point in each answer to find the corresponding value of y, if the value of y gives the same value of the y-coordinate of the point for the three points then this answer is the standard form of the parabola

Learn more:

You can learn more about the parabola in brainly.com/question/8054589

#LearnwithBrainly

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Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

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that is,

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<span>and the one from before </span>

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