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3 years ago

Find the equation of the line passing

Mathematics

1 answer:

Bingel [31]3 years ago

4 0

Start by finding the slope of the given equation by putting it into slope intercept form (which is y=mx+b). perpendicular lines have slopes that are opposite reciprocals of each other, so if the slope of one line is -1/2, the slope of the like perpendicular to it will be 2/1 (or just 2). your answer (in point slope form) should be: y-6 = -(3/4)(x-2), and you can adjust it if it needs to be in standard form (ax+by=c) or slope intercept form (y=mx+b).

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Find the value of x. Then find the measure of the red arc.

Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

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3 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

ddd [48]

Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

cos B = 24/25

tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

tan B = 24/7

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3 years ago

Line 1 passes through the points A(-15,-8) and B(-3,0). Line 2 has

Katyanochek1 [597]

Answer:

The equation of line 3 is;

y = $\frac{2}{3} x$ + 6

Step-by-step explanation:

Line 1 passes through the points A(-15,-8) andn B(-3,0)

Line 2 has equation shown below;

5x - 3y + 18 = 0

Line 3 is parallel to line 1 and has the same y-intercept as line 2.

We are to determine the equation of line 3.

Equation of line 1:

Slope = change in y-axis ÷ change in x-axis

The slope of line 1 = $\frac{0 - -8}{-3 - -15} = \frac{8}{12} = \frac{2}{3}$

Picking another point (x,y) on the line;

Slope = $\frac{y - 0}{x - -3} = \frac{2}{3}$

y = $\frac{2}{3} x$ + 2 (this is the equation of line 1)

Equation of line 2:

We put the equation given, of line 2, in the cartesian plane format;

3y = 5x + 18

y = $\frac{5}{3} x$ + 6

Finally, the equation of line 2 is;

y = 1 $\frac{2}{3} x$ + 6

Equation of line 3:

Given: Line 3 is parallel to line 1

The slopes of two parallel lines are the same so line 3 has a slope of $\frac{2}{3}$

Given: Line 3 has the same y-intercept as line 2

The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)

So the equation of line 3 is;

y = $\frac{2}{3} x$ + 6

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3 years ago

The fire department reports that 2 out of every 25 fireworks are faulty.if a large fireworks show uses 500 fireworks, how many s

vesna_86 [32]

Answer:

related injuries treated in hospital emergency departments using data from ... fireworks-related, emergency department-treated injuries for 2019 occurred during that period. ... of the deaths were associated with misuse of fireworks, 2 deaths were ... victims who reported that their injuries may be long term.

Step-by-step explanation:

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Can Someone Please Explain This To Me

Ghella [55]

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

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3 years ago