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Inga [223]
3 years ago
15

Find all the points having an x coordinate of 1 whose distance from the point (-2,-3) is 5

Mathematics
1 answer:
Vikki [24]3 years ago
6 0
The\ distance\ between\ A(x_A;\ y_A)\ and\ B(x_B;\ y_B):\\\\d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\------------------------------\\\\A(1;\ y);\ B(-2;-3);\ d=5\\\\subtitute\\\\\sqrt{(-2-1)^2+(-3-y)^2}=5\\\sqrt{(-3)^2+(-3-y)^2}=5\\\sqrt{9+(-3-y)^2}=5\Rightarrow9+(-3-y)^2=5^2\\9+(-3-y)^2=25\ \ \ \ |subtract\ 9\ from\ both\ sides\\(-3-y)^2=16\iff-3-y=-\sqrt{16}\ or\ -3-y=\sqrt{16}\\-3-y=-4\ or\ -3-y=4\ \ \ \ |add\ 3\ to\ both\ sides\\-y=-1\ or\ -y=7\ \ \ \ |change\ the\ signs\\y=1\ or\ y=-7

Answer:\boxed{(1;\ 1)\ and\ (1;-7).}
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Answer:

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a painter is paid by the hour if he is paid 360 for 12 hours work how much will he be paid for 9 hours work​
viva [34]

Answer: $270

Step-by-step explanation:

1. calculate how much he's getting paid per hour

- 360 / 12 = $30

2. calculate  how much he's getting paid for 9 hours

- 30 * 9 = $270

8 0
2 years ago
A board 6 ft 11 in long is cut from a board 10 ft 5 in long. Find the length of the remaining
gulaghasi [49]

Answer:

3' 6" left

Step-by-step explanation:

6' 11" = 83"

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125 - 83 = 42"

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4 0
2 years ago
Simplify the expression<br>5-2(9)|+9^2÷3​
Delicious77 [7]

Answer:

14

Step-by-step explanation:

Simplify the following:

5 - 2×9 + 9^2/3

Hint: | Evaluate 9^2.

9^2 = 81:

5 - 2×9 + 81/3

Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.

The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:

5 - 2×9 + 27

Hint: | Multiply -2 and 9 together.

-2×9 = -18:

5 + -18 + 27

Hint: | Evaluate 5 + 27 using long addition.

| 1 |  

| 2 | 7

+ | | 5

| 3 | 2:

32 - 18

Hint: | Subtract 18 from 32.

| 2 | 12

| 3 | 2

- | 1 | 8

| 1 | 4:

Answer: 14

5 0
3 years ago
Determine if the two figures are congruent and explain your answer using transformations.
Maslowich

The coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent

  • The given figures are quadrilaterals, in order to determine whether they are similar, we need to check if they are reflections of each other.

  • For the Quadrilateral ABCD, the coordinate of A is at A(-1, 1)  and for the Quadrilateral DEFG, the coordinate of E is at E(1, 1).

  • Note that if an object is reflected over the y-axis the transformation is (x, y)->(-x, y)

  • We need to check whether if we reflect the coordinate A over the y-axis we will get coordinate E

Since the coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent

Learn more on reflections here:brainly.com/question/1908648

7 0
2 years ago
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