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3 years ago

Use slope to determine if lines PQ and RS are parallel,

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

Answer:

PQ and RS are parallel to each other

Step-by-step explanation:

Slope of two points (x1,y1) and (x2,y2) is given by

slope = (y2-y1)/(x2-x1)

for two lines to be parallel slope should be equal
for two lines to be perpendicular product of slope should be -1
_______________________________________________

Lets find the slope of PQ and RS

for PQ P(2, -1), Q(-3,-1), R(-11, 9), S(-7, 9)

slope PQ = (-1 -(-1))/(-3 -2) = (-1 + 1)/5 = 0/5 = 0

Slope RS = (9-9)/(-7 - (-11) ) = 0/4 = 0

Since

slope PQ = slope RS = 0

Hence PQ and RS are parallel to each other

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prisoha [69]

<h3>Given:</h3>

h= 19 ft
r= 12 ft

h= Height
r= Radius

The volume of the given cone.

<h3>Solution:</h3>

$\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}$

$\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}$

Let's solve!

Substitute the values according to the formula.

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Therefore, the volume of the given cone is 2863.68 cubic feets.

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2 years ago

What is 2 3/8 as an improper fraction? Give answers, please.

m_a_m_a [10]

To convert a mixed fraction into an improper fraction, we must follow some steps.

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In this case, we take 2 and multiply it by 8.

Now we add the numerator:

16+3=19

The denominator stays the same:

$\frac{19}{8}$

Hope it helps! :)

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3 years ago

If x= 4 and y=5 Find the value of x² + 4y 5

Sati [7]

Answer:

Step-by-step explanation:

x^2 + 4y = 16 + 20 = 32

Just do substitution.

Hope this helps.

Good Luck

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3 years ago

Read 2 more answers

Find the Length of ST

vfiekz [6]

Step-by-step explanation:

Consider Similarity and enlargement

To get the enlargement factor,

Take the ratio result of any two similar sides. i.e

PQ/AB = 3.6/2 = 1.8

The enlargement factor is 1.8

To get ST, consider ED then multiply it by the enlargement factor. i.e

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3 years ago

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marta [7]

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2 years ago