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Zina [86]
3 years ago
12

Solve by simplifying the problem. There are 18 students in Mr. Alvarez’s art class. Throughout the year, every student must pair

up with every other student to complete a project. How many projects will be finished?
A. 149 projects
B. 153 projects
C. 171 projects
D. 135 projects
Mathematics
1 answer:
djyliett [7]3 years ago
5 0
Not enough clues to answer this question
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Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
PtichkaEL [24]
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1  in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting.  The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3
4 0
3 years ago
Read 2 more answers
4764 to the nearest ten
qwelly [4]
4,760 and then if there’s a unit of measurement
4 0
2 years ago
14
Damm [24]

-n=2-7

-n=5

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mtmtmtmtmntt

tntntnntntjtjjt

5ntj5j5jj5jt

5

ththtmt

my

y

y

y

y

y

y

y

y

y

y

8 0
2 years ago
Yep here we go again:
Alchen [17]

Answer:

126

Step-by-step explanation:

360 x 35%= 126

360 x 0.35 = 126

3 0
3 years ago
Read 2 more answers
X²=14x-45 step by step please
dolphi86 [110]

Answer:

X=9 and X=5

Step-by-step explanation:

So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.

X^2 - 14X +45 = 0

Now you can factor. Your looking for two factors that equal 45 and add to -14

All factors of 45:

1 and 45, 3 and 15, 5 and 9, -1 and -45,

-3 and -15, -5 and -9

So out of those combinations -5 and -9 both multiply to 45 and add up to -14 so these are our common factors

(X-5)(X-9)=0

X-5=0 add 5 to both sides X=5

X-9=0 add 9 to both sides X=9

5 0
3 years ago
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