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9966 [12]
4 years ago
5

To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a

right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
Mathematics
1 answer:
Luda [366]4 years ago
7 0
First, we find the distance between the two points. The equation is

d = √[(x1 - x2)² + (y1 - y2)²]
d = √[(-2 - 4)² + (-3 - 1)²]
d = 52

In a right triangle, the legs are the hypotenuse, the shorter and the longer side. The hypotenuse is the longest side, so this must be 62 units. So, she found the length of the longer side, which is 52 units.

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SOME ONE PLEASE HELP Determine the sum: (9r3s2t − 4r2s2t2 − 6rs2t3) + (−4r3s2t + 8rs2t3).
mote1985 [20]
The answer is
<span><span><span><span>5<span>r3</span></span><span>s2</span></span>t</span>−<span><span><span>4<span>r2</span></span><span>s2</span></span><span>t2</span></span></span>+<span><span><span>2r</span><span>s2</span></span><span>t<span>3</span></span></span>
4 0
4 years ago
Marty ate 4/6 of his pizza and Luis ate 5/6. Marty ate more how is this possible
emmainna [20.7K]
Because Marty's pizza is bigger than Luis'.
4 0
3 years ago
There are 140 legs on a planet zids have 5 legs and zods have 7 legs h=how many soulutions are there
abruzzese [7]
Number of zids=x
number of zods=y
number of zid legs=5x
number of zod legs=7y

so
5x+7y=140
try to get it into slope intercept from so you can graph is (y=mx+b)
5x+7y=140
subtract 5x from both sides
7y=140-5x
divide both sides by 7
y=20-5/7x
y=-5/7x+20

plug in numbers for x and get numbers for y (you can only plug in multiples of 7 for x so that there are a whole number of zids and since you are counting, x and y must never be negative)

lets try 0 for x

y=-5/7(0)+20
y=20
 so x=0 and y=20 is an answer (if you can have only one of that species)


lets try 7 for x
y=-5/7(7)+20
y=-5+20
y=15

so x=7 and y=15 is an answer


lets try 14 for x

y=-5/7(14)+20
y=-10+20
y=10

so x=14 and y=10 is another answer


lets try 21 for x
y=-5/7(21)+20
y=-15+20
y=5

so x=21 and y=5 is another answer


lets try 28 for x
y=-5/7(28)-20
y=-20+20
y=0

so x=28 and y=0 is an answer (if there can be only one of a species)


if we go further, then y will be negative so the answers are

(x,y)
(0,20)
(7,15)
(14,10)
(21,5)
(28,0)

if it is allowed that only one species exists then there are 5 possible answers
if both must exist simultaneously, then there are only 3 answers
<span />
8 0
4 years ago
Find the total<br> price of a $14.00<br> shirt including the<br> 7% sales tax?
hram777 [196]

Answer:

$14.98

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
A new machine tool is brought into a production line to help speed production. You take 200 seconds to produce the first widget.
Artemon [7]

Answer:

b = - 0.432

Step-by-step explanation:

It takes 200 seconds to produce the first widget. And by the 400th widget, it takes only 15 seconds.

Now, the formula that gives the time to make the nth widget is given by

T_{n} = T_{1} (n)^{b} and we have to evaluate the constant b from the above-given conditions.

So, 15 = 200(400)^{b}

⇒ 400^{b} = 0.075

Taking log on both sides

b log (400) = log (0.075)

⇒ b = - 0.432 (Answer)

3 0
3 years ago
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