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3 years ago

How do you know if two lines are parallel?

Mathematics

2 answers:

GalinKa [24]3 years ago

4 0

The lines never intersect or touch should be the answer.

Hope this helps/works.

slavikrds [6]3 years ago

4 0

To know if two lines are parallel they have to have the same slope

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Marina86 [1]

Answer:

all FALSE except 3 and 4

Step-by-step explanation:

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6 0

2 years ago

Read 2 more answers

An Archer shoots an arrow horizontally at 250 feet per second. The bullseye on the target and the arrow are initially at the sam

Genrish500 [490]

Answer:

Step-by-step explanation:

Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;

Range $R = U\sqrt{\frac{H}{g} }$

U is the velocity of the arrow

H is the maximum height reached = distance below the bullseye reached by the arrow.

R is the horizontal distance covered i.e the distance of the target from the archer.

g is the acceleration due to gravity.

Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?

On substitution,

$60 = 250\sqrt{\frac{H}{32}} \\\frac{60}{250} = \sqrt{\frac{H}{32}}\\\frac{6}{25} = \sqrt{\frac{H}{32}$

Squaring both sides we have;

$(\frac{6}{25} )^{2} = (\sqrt{\frac{H}{32} } )^{2} \\\frac{36}{625} = \frac{H}{32} \\625H = 36*32\\H = \frac{36*32}{625} \\H = 1.84feet$

The arrow will hit the target 1.84feet below the bullseye.

5 0

2 years ago

Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

2 years ago

The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18

Kisachek [45]

Here, z = kx

k = z/x
k = 228/12
k = 19

So, when x = 18,
z = 19 * 18
z = 342

In short, Your Answer would be: 342

Hope this helps!

8 0

2 years ago

If the side length is 6. cm, then the area is ______cm2 ?

ArbitrLikvidat [17]

Answer:

36 cm2

Step-by-step explanation:

tep-by-Step:

Start with the formula:

Area = a2

Don't forget: a2 = a × a (a squared).

Substitute the side length into the formula. In our example, a = 6.

Area = 6^2 = 6 × 6 = 36 cm2

Answer:

The area of the square with sides of length 6 cm is 36 cm2.

8 0

2 years ago