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3 years ago

The line passes through the point (4,2) and has slope of -1

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

3 0

Answer:

y-2 = -1(x-4)

Step-by-step explanation:

We know the slope and a point . We can use point slope form

y-y1 = m(x-x1)

y-2 = -1(x-4)

If we want the equation in slope intercept form

Distribute the -1

y-2 = -x+4

Add 2 to each side

y-2+2 = -x+4+2

y = -x+6

You might be interested in

Solve for x: −2x − 4 > 8<br><br> x < −6<br> x > −6<br> x < −2<br> x > −2

Yuki888 [10]

Answer:

x > -6

Step-by-step explanation:

-2x - 4 > 8

collect like terms

-2x > 8 + 4

-2x > 12

Divide both sides by -2, we will have

x > 12/-2

x > -6

8 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Round your answer to the nearest integer.

umka21 [38]

Answer:

m∠ADC = 132°

Step-by-step explanation:

From the figure attached,

By applying sine rule in ΔABD,

$\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}$

$\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}$

sin(∠ADB) = $\frac{30\text{sin}(120)}{35}$

= 0.74231

m∠ADB = $\text{sin}^{-1}(0.74231)$

= 47.92°

≈ 48°

m∠ADC + m∠ADB = 180° [Linear pair of angles]

m∠ADC + 48° = 180°

m∠ADC = 180° - 48°

m∠ADC = 132°

4 0

3 years ago

Find the measure of an interior angle and exterior angle of a regular 24gon

Julli [10]

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:

sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.

When '<em>n</em> = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:

<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

8 0

2 years ago

Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la

iren [92.7K]

Answer:

The larger angle is 143

Step-by-step explanation:

x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)

4x - 5 = y

x + (4x - 5) = 180 Remove the brackets.

x + 4x - 5 = 180

5x - 5 = 180 Add 5 to both sides

5x - 5 +5 = 180 + 5 Combine

5x = 185 Divide by 5

5x/5=185/5

x = 37

y = 4*37 - 5

y = 148 - 5

y = 143

4 0

2 years ago

Which is answer if not know please solve for mw

Vlad1618 [11]

<h3>Answers:</h3><h3>Area of parallelogram = 63</h3><h3>Area of triangle = 34</h3><h3>Area of trapezoid = 84</h3><h3>The trapezoid has the largest area</h3>

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Work Shown:

area of parallelogram = base*height

area of parallelogram = 9*7

area of parallelogram = 63

----------

area of triangle = (1/2)*base*height

area of triangle = (1/2)*10*6.8

area of triangle = 34

----------

area of trapezoid = height*(base1+base2)/2

area of trapezoid = 6*(13+15)/2

area of trapezoid = 6*(28)/2

area of trapezoid = 168/2

area of trapezoid = 84

5 0

2 years ago