The area of a square is 72. what is the longest straight line that can be drawn between any two points of the square

Answers

Answer 1

Answer: The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then

s^2 = 72
s = 6 sqrt(2)

Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square)

c^2 = a^2 + b^2

Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72

The length of the longest line is 72.

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Which choice represents the simplified form of the expression below and the values of x for which it is defined?√7x^3 divide by √xA.x√2x when x>0B.x√7 when x<0C.x√7 when x>1D.x√7 when x>0
Please help meHere is a model paper mcqs can you make a new paper keeping in veiw this paper PLEASE help me will mark BRAINLIEST Make sure you make a new and hard paper Make at least 20 more mcqs
What is the correct choice for this question ???
From the set {20, 38, 47}, use substitution to determine which value of x makes the inequality true. x - 9 > 29 a. 47 b.none of these c.38 d.20
Find the difference 4/9-2/17

Choose the equation that could be used to find three consecutive integers whose sum is 36.n + (n + 2) + (n + 4) = 36

n + (n + 1) + (n + 3) = 36

n + (n + 1) + (n + 2) = 36

n + (n − 1) + (n − 3) = 36

Answers

Let

n--------> the first integer

n+1------> the second consecutive integer

n+2-----> the third consecutive integer

we know that

$n+(n+1)+(n+2)=36\n3n+3=36\n3n=36-3\n3n=33\nn=33/3\nn=11$

the numbers are

$11,12,13$

therefore

the answer is

The equation is $n+(n+1)+(n+2)=36$

n +(n+1) + ( n+2)=36
the third answer

Factoring trinomials word problems.

Answers

So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)

so divide that factors by (×-2)

(×-2)(×+3)
---------
(×-2)

the (×-2) cancel out, leaving x+3

Terry the plumber charges a base fee of $40 for each visit to someone's home plus $25 each hour forlabor. When Kathy received her bill after he came to fix a leak in her sink, the total charge was $152.50.
How many hours did Terry work on Kathy's sink?

Answers

Answer:

4.5 hours

Step-by-step explanation:

Could some one please help with question 9b and 11

Answers

9b. a^4 +2a^2-8=0
factorise
(a^2 + 4)(a^2 - 2)=0
we then get two answers from the brackets
a^2=-4
a= sqrt(-4) or 2j
and the second bracket gives us a^2=2
a= sqrt(2)

11. First expand the brackets.
Ax^3 + Bx^2 - x^2 + Bx +Cx + D
then equate the coefficients, this basically means put all the x^3, x^2 etc values together.
so Ax^3=3x^3 so we know that A=3Then put the x^2 together, so Bx^2-x^2=-x^2 and rearranging this gives B=0
Next we do Bx+Cx = 2x and we know that B is 0 so we can get rid of it and know that C = 2.
finally we can see that D = -7

What would be the total if 25%is 18

Answers

Answer:

Step-by-step explanation:

You would first change 25% to 0.25

Then divide 18 by 0.25 (18/0.25)

Which equals 72

Answer:

4.5 because its basically 18 divided by 4

Step-by-step explanation:

Solve:
3(x - 2) = 18

Answers

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

= 8

Step-by-step explanation:

Hope this helps? :))

$\large\tt Step-by-step~explanation:$

To solve for x, we have to isolate the variable.

$\tt Step~1:$

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

$\tt 3*x=3x\n3*-2=-6\n3x-6=18$

$\tt Step~2:$

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

$\tt 3x-6(+6)=18(+6)\n3x=24$

$\tt Step~3:$

Finally, we divide both sides by 3 to isolate x and get our answer.

$\tt (3x)/(3)=x\n(24)/(3)=8\nx=8$

$\large\boxed{\tt Our~final~answer: ~x=8}$

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