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2 years ago

Work out the equation of the line which passes through the point (-1, 2)

Mathematics

1 answer:

Brums [2.3K]2 years ago

6 0

Answer:

y = x +3

Step-by-step explanation:

The equation of a parallel line can use the same x- and y-coefficients as the given equation. Only the constant needs to be found to make the line go through the given point.

<h3>form of the solution</h3>

The equation of the given line is ...

y = x +4

So, the equation of a parallel line will be ...

y = x +b . . . . . for some y-intercept b

<h3>solution</h3>

Using the given point (x, y) = (-1, 2), we can fill in the values and solve for b.

2 = -1 +b

3 = b . . . . . . add 1 to both sides

The desired equation is ...

y = x +3

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You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4

Amanda [17]

Answer:

$40\ bottle\ caps$

Step-by-step explanation:

we know that

The scale is $\frac{2.4}{1}\ \frac{cm}{ft}$

That means

2.4 cm in the model represent 1 foot in the real

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The restaurant is 20 feet tall

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Multiply the actual height of the restaurant by the scale 2.4

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2 years ago

A ladder is leaning against a wall. The top of the ladder is 9 feet above the ground. If the bottom of the ladder is moved 3 ft

Alenkinab [10]

Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.

Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
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But L = x+3. So L=12+3, or L = 15 (feet).

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3 years ago

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Answer,

Step-by-step explanation:

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