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PIT_PIT [208]
2 years ago
8

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
7 0

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

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What is the mass of a 7.91cm3 piece of lead having a density of 11.34g/cm
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3 years ago
The U.S. Bureau of the Census predicted that the population of Pennsylvania would be about 12.7 million in 2010 and then would i
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3 0
2 years ago
PLEASE HELP
nirvana33 [79]

You don't say whether this is a right triangle or not.

Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:

(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.

This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.

Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.

By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.


6 0
3 years ago
F(x)=1+log4^x the 4 is low to the log
SVEN [57.7K]
Well, if you subtract one you get -1=log4^x. base four on each side: 4(to the power of negative 1)=4(to the power of log base four) x. Four to the power of log base 4 cancels, and you're left with 4 to the power of -1=x. the negative exponent recipricates, so x=1/4. you're welcome.
3 0
3 years ago
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