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2 years ago

Referring to the figure, find the value of x

Mathematics

1 answer:

lilavasa [31]2 years ago

8 0

Answer:

x = 23

Step-by-step explanation:

3x + 3 + x + 85 = 180

4x + 88 = 180

4x = 92

x = 23

Hopefully this helps!

Brainliest please?

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A functionf(x) is graphed on the coordinate plane.

ollegr [7]

Answer:

y = -1/2x +1

Step-by-step explanation:

The y intercept is 1 (this is where it crosses the y intercept)

(0,1) and (2,0) are two points on the line

The slope is given by

m = (y2-y1)/(x2-x1)

= (0-1)/(2-0)

= -1/2

The slope is -1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

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yKpoI14uk [10]

The answer is 3.848.

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

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Find the area of a segment of a circle if its arc is 120 degrees and the radius is 3 inches.

Montano1993 [528]

Answer: 9.42 inches, 3π in terms of pi

Step-by-step explanation:

A full circle is 360 degrees, so if the segment has an arc of 120 degrees, it is 1/3 of a regular circle.

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Using 3.14 for π:

A = (πr^2)/3.

A = (π3^2)/3

A = (π9)/3

A = 3π

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