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Sergio039 [100]
2 years ago
15

Find y if the distance between

Mathematics
1 answer:
Helen [10]2 years ago
5 0

Answer:

y = 6

Step-by-step explanation:

\sqrt{(10-3)^2 + (y+18)^2} = 25 \\ 49 + y^2 + 324 + 36y = 625 \\

y^2 + 36y - 252 = 0

(y-6)(y+42) = 0

y = 6 (accettable)

y = -42 (not accettable)

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Need help ASAP will vote brainliest
xeze [42]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
What is the relationship between the sides x and y in the given figure?
Zepler [3.9K]
Y=2x because x axis is on the bottom and X axis always comes before Y axis!
8 0
3 years ago
Which equation represents a line with a slope of -2/3 that passes through point (5, -2)?
serg [7]

Answer:

c) 2x + 3y = 4

Step-by-step explanation:

−2 = −⅔[5] + b

−3⅓

1⅓ = b

y = −⅔x + 1⅓

Then convert to Standard Form:

y = −⅔x + 1⅓

+⅔x + ⅔x

__________

⅔x + y = 1⅓ [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

3[⅔x + y = 1⅓]

2x + 3y = 4

* 1⅓ = 4⁄3

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8 0
2 years ago
I need help, pls and thx
Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • \Delta = (-2)^2 - 4(5)(7) = 144
  • x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}
  • x_2 = \frac{2 - \sqrt{144}}{10} = -1

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

7 0
2 years ago
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15
NeTakaya

Answer:

D. 22,417 feet

Step-by-step explanation:

Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.

Hypotenuse = x and Opposite = 15,000feet

According to SOH;

sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\

x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet

Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet

3 0
3 years ago
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