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viva [34]
2 years ago
12

If distance between two points A(2,2) and B(x,5) is 5 units find value of x​

Mathematics
1 answer:
vfiekz [6]2 years ago
7 0

Answer:

X can be - 2 or 6.

Step-by-step explanation:

d=5

d=sqrt((x2-x1)^2 +(y2-y1)^2)

5=sqrt((x-2)^2 +(5-2)^2)

5^2 =(x-2)^2 +3^2

25=(x-2)^2 +9

(x-2)^2 =25-9

(x-2)^2 =16

x-2=sqrt(16)

x-2=4

x=4+2

x=6;

x-2=-4

x=-4+2

x=-2

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You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden?
emmasim [6.3K]

Answer:

20 yards

Step-by-step explanation:

The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.

From here we simply need to square root both sides which gives us:

x=20

Therefore the length of one side of the garden is 20 yards.

Hope this helped!

7 0
2 years ago
Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep
Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

I=\frac{P\times r\times t}{100}

Where P is principal amount, r is rate of interest in percentage and t is time in years.

I=\frac{1087\times 11\times 1}{100}

I=119.57

The interest paid by Zack is $1,087.

The total amount of money he will repay is

1,087+119.57=1,206.57

Therefore option d is correct.

0 0
2 years ago
Read 2 more answers
A fish is swimming 10.2 feet below the surface of the water. It then descends another 12.85 feet. What subtraction expression ca
just olya [345]
-10.2 - 12.85 which would be -23.05

the 10.2 is negative because it is below zero
8 0
2 years ago
Read 2 more answers
Explain why the following expression is false. |x| < -4
levacccp [35]

Step-by-step explanation:

Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.

So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.

So |x| can't be less than -4 as |x| is always positive . So the statement is false.

8 0
2 years ago
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Vinil7 [7]
Given inequality: 2y−x ≤ −6

Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied

Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied

Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.

Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.

Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.

Solutions are: (1, -4), (0, -3) , (2, -2)

4 0
2 years ago
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