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3 years ago

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Mathematics

1 answer:

alexandr1967 [171]3 years ago

3 0

Answer:

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

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 )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = $\frac{1}{2}$

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = $\frac{1}{2}$ x + 1 ← equation of perpendicular line

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3 years ago

3. What is the exact area of triangle ABC? Use special right triangles to help find the base of the triangle. Show your work.

Oduvanchick [21]

The exact area of triangle ABC is 93.51 cm².

The given parameters;

Height of the triangle, h = 18 cm

The base of the triangle is calculated by using trigonometry ratio as follows;

$tan (30) = \frac{b}{18} \\\\$

where;

b is the base of the triangle ABC

$b = 18 \times tan(30)\\\\b = 10.39 \ cm$

The area of the triangle ABC with the calculated base and given height is calculated as follows;

$A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2$

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: brainly.com/question/23945265

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2 years ago

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vichka [17]

Answer:

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3 years ago

Mark owns Siberian Husky sled dogs. He knows from data collected over the years that the weight of the dogs is a normal distribu

kozerog [31]

Calculate the z-score for the given data points in the item using the equation,

z-score = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

Substituting,
(47.7) z-score = (47.7 - 52.5)/2.4 = -2

This translates to a percentile of 2.28%.

(54.9) z-score = (54.9 - 52.5)/2.4 = 1

This translates to a percentile of 84.13%.

Then, subtract the calculate percentiles to give us the final answer of 81.85%.

Thus, 81.85% of the Siberian Husky sled dogs are expected to weigh between 47.7 and 54.9 lbs.

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3 years ago

What is the rule for the line

mash [69]

Answer:

Step-by-step explanation:

the slope is negative and the y intercept is -1

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3 years ago

Read 2 more answers