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eduard
3 years ago
7

URGENT URGENT URGENT Find the value of x.

Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

x = 5.

Step-by-step explanation:

x is the radius of the circle.

The line of length 4 bisects the chord of length 6 into 2 line segments of length 3.

If we draw a line from the centre to where the chord of length 6 meets the circle we have another radius.

This is also the hypotenuse (h) of a right triangle, so we have a right triangle whose legs are 3 and 4, then:

h^2 = 4^2 + 3^2 = 25

h = 5

x = 5 (as x and h are both radii).

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A 3-cup container of disinfectant costs $1.92. What is the price per fluid ounce?
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3 years ago
Write an equation for the perpendicular line to the line whose equation is 4y-5x=20 that contains the point (-2,-3)
yuradex [85]

Answer:

4x + 5y = - 23

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 4y - 5x = 20 into this form

add 5x to both sides

4y = 5x + 20 ( divide all terms by 4 )

y = \frac{5}{4} x + 5 ← in slope-intercept form

with slope m = \frac{5}{4}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}, hence

m_{perpendicular} = - 1 / \frac{5}{4} = - \frac{4}{5}

y = - \frac{4}{5} x + c ← is the partial equation

to find c substitute (- 2, - 3) into the partial equation

- 3 = \frac{8}{5} + c ⇒ c = - \frac{23}{5}

y = - \frac{4}{5} x - \frac{23}{5} ← in slope-intercept form

multiply all terms by 5

5y = - 4x - 23 ( add 4x to both sides )

4x + 5y = - 23 ← in standard form




7 0
2 years ago
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