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3 years ago

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The distance across a two lane road

1 answer:

Vladimir79 [104]3 years ago

3 0

<u><em>In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).</em></u>

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

The ratio of bass to catfish in the pond is 54 to 150. Which statement describes this relationship?

erik [133]

Answer: 54:150

Step-by-step explanation:

The ratio of bass to catfish in a pond can be written as 54:150

7 0

3 years ago

Can anyone help with this math problem

Marysya12 [62]

Answer:

The frog population would be 3636.

Step-by-step explanation:

3.2% times 6 is 19.2%. And 19.2% of 4500 is 864. Then you do 4500-864 which is 3636.

Pls mark brainliest.

3 0

3 years ago

Read 2 more answers

Put -0.615, -5/8. -0.62 in order

yan [13]

-0.615
-5/8 = 0.625
-0.62

with negatives, the larger the number is, the smaller it is

-0.625 , -0.62 , -0.615....least to greatest

4 0

3 years ago

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What are the solutions of the equation (x-3)2 + 2(x – 3) - 8= 0? Use u substitution to solve.

astraxan [27]

Answer:

x = - 1 and x = 5

Step-by-step explanation:

Given

(x - 3)² + 2(x - 3) - 8 = 0

Let u = x - 3, then

u² + 2u - 8 = 0 ← solve for u

(u + 4)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 4 = 0 ⇒ u = - 4

u - 2 = 0 ⇒ u = 2

Convert back to x, that is

x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1

x - 3 = 2 ( add 3 to both sides ) ⇒ x = 5

5 0

4 years ago

Read 2 more answers