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MA_775_DIABLO [31]

1 year ago

6

Write the equation in slope-intercept form of a line that has a slope of and passes through the point (-6, 0)

1 answer:

Nezavi [6.7K]1 year ago

7 0

The equation of the line in slope intercept form with slope 1/3 and passes through ( - 6, 0) is y = 1/3x + 2.

In mathematics, the slope or gradient of a line is a number that indicates the line's steepness as well as its X and Y directions. The letter "m" stands for slope. The ratio of the "vertical change" to the "horizontal change" between any two separate points on a line is used to compute the slope.

The equation of the line in point-slope form is expressed as:

y - y₁ = m( x - x₁ )

where m is the slope.

So, m = 1/3

( x₁, y₁ ) is the point on the line = ( - 6, 0)

Substituting the values,

y - 0 = 1/3( x + 6 )

y = 1/3( x + 6 )

y = 1/3x + 6/3

y = 1/3x + 2

Hence, the equation in slope-intercept form of the line is y = 1/3x + 2.

Learn more about slope intercept form here:

brainly.com/question/28779486

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Step-by-step explanation:

<em>it's </em><em> </em><em>absolutely </em><em>correct </em><em>.</em><em>.</em>

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2 years ago

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What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.

Svetllana [295]

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

$F = 10[v(21) - v(16)]$

Newton's Second Law states that Force, in Newtons, is <u>mass times acceleration</u>, that is:

$F = ma$

In this problem, mass of 50 kg, thus $m = 50$

Acceleration is <u>change in velocity divided by change in time</u>, that is:

$a = \frac{\Delta_v}{\Delta_t}$

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:

$\Delta_t = 21 - 16 = 5$

$\Delta_v = v(21) - v(16)$

Thus, the force is given by:

$F = ma$

$F = m\frac{\Delta_v}{\Delta_t}$

$F = 50\frac{[v(21) - v(16)]}{5}$

$F = 10[v(21) - v(16)]$

A similar problem is given at brainly.com/question/18801986

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3 years ago

Faith earned a grade of 46% on her multiple-choice history final that had a total of 200 problems. How many problems on the fina

damaskus [11]

Answer: she answered 92 questions correct because 46% of 200=92

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3 years ago

Please help<br> maths geometry

goldenfox [79]

Answer:

D₁ = 68°

Step-by-step explanation:

If AB = BE then ΔABE is an isosceles triangle, therefore A₁ = E₁.

If A₁ = 28° then E₁ = 28°.

<u>Opposite sides</u> of a parallelogram are <u>parallel</u>.

Using the Alternate Interior Angles Theorem:

A₂ = E₁ = 28°

Therefore, A = A₁ + A₂ = 28° + 28° = 56°

<u>Opposite angles</u> in a parallelogram are <u>equal</u>.

Therefore, C = A = 56°.

<u>Opposite sides</u> of a parallelogram are <u>equal in length</u>, so AB = CD.

If AB = DE = CD then ΔCDE is an isosceles triangle.

Therefore, C = E₃ = 56°.

Interior angles of a triangle sum to 180°.

⇒ D₁ + C + E₃ = 180°

⇒ D₁ + 56° + 56° = 180°

⇒ D₁ + 112° = 180°

⇒ D₁ = 180° - 112°

⇒ D₁ = 68°

6 0

2 years ago