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cupoosta [38]
3 years ago
8

Determine the distance between the points (2,7) and (-4,15)

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

option C

Step-by-step explanation:

distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

              =\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10

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Is the product of 8 positive numbers<br> And 3 negative numbers positive or<br> Negative?
avanturin [10]

Answer:

Negative

Step-by-step explanation:

The 8 positive numbers give you a positive, and a positive times negative is negative, then negative times negative is positive, and positive times negative is negative. Your final number would be negative.

7 0
3 years ago
The sum of a four angles of quality is 180 true or false​
ehidna [41]

Answer:

the sum of a four angles of quadrilateral is 180.<u>False</u>

<u>Note</u><u>:</u><u> </u><u>its</u><u> </u><u>3</u><u>6</u><u>0</u><u>°</u>

8 0
3 years ago
Read 2 more answers
2 x (6÷2 +8) -4 Help me ​
lana [24]

Answer:

22x-4

Step-by-step explanation:

2x(3+8)−4

Simplify  3+8 to 11.

2x×11−4

Simplify  2x times 11 to 22x.

22x−4

8 0
2 years ago
64 POINT QUESTION<br><br> √(5-2x) - √(2-x) = 1
Ivanshal [37]

Answer:

x = 2 and x = -2

Step-by-step explanation:

The easiest way is to guess. We know that you can't have a square root of a negative number. This constrains x between negative infinity to 2. Testing 2 and -2, we see that it satisfy the equation.

The more systematic approach is shown below

\sqrt{5-2x}-\sqrt{2-x}=1 \\\sqrt{5-2x}-\sqrt{2-x}+\sqrt{2-x}=1+\sqrt{2-x} \\\sqrt{5-2x} = 1+\sqrt{2-x}

5-2x=(1+\sqrt{2-x})^2\\5-2x=1+2\sqrt{2-x}+2-x\\2-x=2\sqrt{2-x}\\1-0.5x=\sqrt{2-x}\\(1-0.5x)^2=2-x\\1-x+0.25x^2=2-x\\0.25x^2-1=0\\0.25x^2 = 1\\x^2 = 4\\x = +/-2

x= -2, 2

7 0
3 years ago
The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i
Margarita [4]

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

Area= 3.955m*3.955m\\Area= 15.642 m^2

Now we need to know the uncertainty, the uncertainty of a multiplication is:

\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|} (1)

δ_A: Area uncertainty

δ_L: Length uncertainty

δ_W: Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area (2)

δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2

δ_A= 0.040 m^2

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

6 0
3 years ago
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