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lbvjy [14]
4 years ago
14

Find the distance between the two points: (2,3) and (-5,-3)

Mathematics
2 answers:
yuradex [85]4 years ago
7 0

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

√85

Decimal Form:

9.21954445…

Hope this helps!!

AVprozaik [17]4 years ago
5 0

Answer:P=(2,3)  and Q=(−5,3).

The distance between two points is d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√.

We have that x1=2, y1=3, x2=−5, y2=3.

So, d=(−5−(2))2+(3−(3))2−−−−−−−−−−−−−−−−−−−√=49−−√=7.

Answer: d=7.

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4 0
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Find a1 and d for an arithmetic sequence with these terms. a3=-8 and a7=32
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We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1  is the first term
n is the numbers of terms

for n=3   a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1

for n=7   a7=32
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multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3

add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6)    (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4

the answer is
a1=4
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<span>

</span>
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