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kap26 [50]
3 years ago
11

Translate the expression: 3 times the difference between 7 and g is 90

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

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Show that the points (3,1) and (1,3) are the same distance from the origin
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Let's use the distance formula to find the distance between the origin and each of the points. We can use this to show that the distances are the same. Remember that the distance formula is:

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

  • (x_1, y_1) is one point
  • (x_2, y_2) is the other point that you are trying the distance to

First, let's find the distance between the points (3, 1) and the origin, (0, 0). We will call this distance D_1.

D_1 = \sqrt{(3 - 0)^2 + (1 - 0)^2}

D_1 = \sqrt{3^2 + 1^2}

D_1 = \sqrt{10}


Next, let's find the distance between (1, 3) and the origin, (0, 0). We will call this D_2.

D_2 = \sqrt{(1 - 0)^2 + (3 - 0)^2}

D_2 = \sqrt{1^2 + 3^2}

D_2 = \sqrt{10}


We can see that D_1 = D_2, or that the distances are the same. ✔︎

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