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2 years ago

D = √[( x₂ - x₁) + (y₂ - y₁)]

Mathematics

2 answers:

kondaur [170]2 years ago

7 0

As it stands, it's none of those. I believe you were going for the distance formula but copied it wrong.

77julia77 [94]2 years ago

5 0

$It's\ none\ of\ those.$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\Leftarrow Distance\ Formula\\\\A(x_1;\ y_1);\ B(x_2;\ y_2)\Rightarrow d=|AB|$

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Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter, she prepared an envelope with its corre

Ad libitum [116K]

Answer:

1/3 is the answer.

Step-by-step explanation:

Tanya prepared 4 different letters to be sent to 4 different addresses.

To solve this we can do the following:

The probability that the 1st letter is in the right envelope is = $\frac{1}{4}$

The probability that the 2nd letter is in the wrong envelope is = $\frac{2}{3}$

The probability that the 3rd letter is in the wrong envelope is = $\frac{1}{2}$

The probability that the 4th letter is in the wrong envelope is = 1

So, the answer becomes: $\frac{1}{4}\times \frac{2}{3}\times \frac{1}{2}\times1$ = $\frac{1}{12}$

As we need 4 correct letters in the envelope, we will multiply by 4:

$\frac{1}{12}\times4=\frac{1}{3}$

3 0

2 years ago

Which of the following represents the prime factorization of 72?

Free_Kalibri [48]

Answer:

2^3.3^2

Step-by-step explanation:

${2}^{3 ?} = 8 \\ {?3}^{2?} = 9 \\ 8 \times 9 = 72$

7 0

2 years ago

Read 2 more answers

Point M is located at (4,6) on a coordinate grid. Point M is translated 8 units to thr left and 9 units down to create point M'.

nata0808 [166]

Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!

We have the point 4,6. 4 is the x, and 6 is the y.

Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.

Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.

So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!

The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²

Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.

So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.

So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²

Solving it out, we first need to work within the parenthesis. Can you solve it?

Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²

8²= 64
9²= 81

64+81 = 145.

So, the distance between point M and point M' would be 145 units

Hope this helps!

If it does not, please let me know so i can try to help!

4 0

2 years ago

Both the diameter and height of a cylinder vase are 2.5 times greater than a dimilar vase. The surface area of the smaller vase

faust18 [17]

Both diameter and height are scaled by 2.5.

Area is measured in squared units ( square centimetres).

Square the scale factor:

2.5^2 = 6.25

Multiply the area of the smaller vase by the scale:

2826 x 6.25 = 17,662.5 square cm.

7 0

2 years ago