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Nataly [62]
2 years ago
8

Find the point on the curve y=x^1/2 that is closest to the point (3 0)

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0
Hello : here is a solution : 

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A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Vilka [71]

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

a^{2} +b^{2} =c^{2}

since we know a and b are the same length (sides of a square are congruent) we would have

a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}

We know that c is 14 so

2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999

5 0
2 years ago
Fill in the blank for Remainder Therom<br><br><br> x 3 + x 2 - 21x - 45 = (x + 3)(x - 5)(x+?)
icang [17]
Not sure about remainder theorem but I'm sure that the last terms should all multiply tho the last term


see the expanded form is -45

so the last terms of each binomial should multiply to -45

3 times -5 times ?=-45
-15 times ?=-45
divide by -15
?=3

the question mark is 3
5 0
3 years ago
Read 2 more answers
What is the following sum in simplest form - see attached.
melomori [17]
You must first simplify the radicals by taking out any perfect squares.

√8  + 3√2  + √32 =
√4 * √2   +  3√2   + √16 * √2 =
2√2  + 3√2  + 4√2 =
9√2
5 0
3 years ago
Shannon walks 2,500 metres in 1 hour 40 minutes. <br> How far does she walk in one minute?
stich3 [128]

Answer:

25m

Step-by-step explanation:

Shannon's rate is 2,500m/100min. Simplifying, we see that this is equal to 25m/1min.

So, she walks 25 m in one minute.

4 0
2 years ago
Find p(0),p(1),p(-1) and p(2) of the 3x(x-2) <br><br>​
Effectus [21]

Answer:

<u>make x→0</u>

p(0)=(0)^{2}-3(0)+2

→ p(0)=0+0+2

→p(0)=2

------

<u>Replace x→-1</u>

p(-1)=(-1) ^{2} -3 (-1)+2

→ p(-1)=1-3+2

→ p(-1)=0

----------

<u>Now make x→2</u>

p(2)=(2) ^{2} -3(2)+2

→ p(2)=4-6+2

→ p(2)=0

Answer:-2,0,0

-----------

hope it helps...

have a great day!!

5 0
3 years ago
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