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3 years ago

[2m-n+p]^2-[2m+n-p]^2

Mathematics

1 answer:

astra-53 [7]3 years ago

4 0

Answer:

( 2m - n + p )² - ( 2m + n - p )² = 4m² + n² + p² - 4mn + 4mp - 2np - ( 4m² + n² + p² + 4mn - 4mp - 2np ) = 4m² + n² + p² - 4mn + 4mp - 2np - 4m² - n² - p² - 4mn + 4mp - 2np = -8mn + 8mp

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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg

DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points (x1, y1), (x2, y2)given in coordinate plane slope is given by

$y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\$

For any line if slope is zero it is parallel to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0

3 years ago

Read 2 more answers

The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.

nalin [4]

Answer:

Part 1) The area is $A=4,069.44\ in^{2}$

Part 2) The circumference is $C=226.08\ in$

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

$A=\pi r^{2}$

we have

$r=72/2=36\ in$ ------> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(36)^{2}$

$A=4,069.44\ in^{2}$

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

$C=\pi D$

we have

$D=72\ in$

$\pi =3.14$

substitute

$C=(3.14)(72)$

$C=226.08\ in$

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valina [46]

Answer:

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Step-by-step explanation:

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3 years ago

What is the measure of angle 1?

frutty [35]

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3 years ago

Please use the following image below in order to answer the question correctly:

kaheart [24]

Answer:

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Step-by-step explanation:

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