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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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Step-by-step explanation:

Divide the inequality by the coefficient of t. Because that value is negative, the sign gets reversed.

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5 0
3 years ago
A book sold 39,300 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How
alexdok [17]

Answer:

644,262 copies

Step-by-step explanation:

Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x

39,300 copies  <======>  6.1%

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(100*39,300) / 6.1 = 644,262 copies

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4 0
2 years ago
Can someone help me figure out what 40% of 65 is?​
Akimi4 [234]

Answer:

26

Step-by-step explanation:

Convert 40% to a decimal

40% = 0.4

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3 years ago
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3 years ago
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Jamie went to the his 6 friends. For each friend, he spent $4.75 for a sandwich, $1.25 for a cold beverage, and $.56 for a piece
masha68 [24]

Answer:

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I hope this helped you!

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