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Lena [83]
1 year ago
15

What's the distance between (-2, 5) and (8, 5)

Mathematics
1 answer:
Wewaii [24]1 year ago
7 0

Answer:

10

Explanation:

The distance between two points of coordinates (x1, y1) and (x2, y2) can be calculated as:

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

So, the distance between (-2, 5) and (8, 5) is equal to:

\begin{gathered} \sqrt[]{(8-(-2))^2+(5-5)^2} \\ \sqrt[]{(8+2)^2+(0_{})^2} \\ \sqrt[]{(10)^2+0} \\ \sqrt[]{100} \\ 10 \end{gathered}

Then, the distance between (-2, 5) and (8, 5) is 10.

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PLEASE HELP!!! Choose the expression that best represents the phrase below.
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Answer:

5f

Step-by-step explanation

6 0
3 years ago
Your friend has recently learned about coprime numbers. A pair of numbers {a, b} is called coprime if the maximum number that di
s344n2d4d5 [400]

Answer:

(5, 7, 15)

Step-by-step explanation:

A pair of numbers is coprime if the maximum number that divides the two is 1.

Consider the three numbers: 5, 7, 15

The first two numbers 5 and 7 can only be divided by 1. Hence the pair (5, 7) is coprime.

The second pair of numbers 7 and 15 is also coprime as the number which can divide both these numbers is 1. So the pair (7, 15) is also coprime

So, we have two pairs of coprime numbers: (5,7) and (7,15)

According to the friend, (5, 15) must also be coprime, but this not true as both these numbers can also be divided by 5.

Hence, the three numbers meeting the said criterion are: (5, 7, 15)

5 0
4 years ago
GIVING 100 POINTS!!! An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a
slamgirl [31]

Answer:

1035.33 feet

Step-by-step explanation:

OBH is a triangle and the sum of the angles of a triangle = 180

∠OBH = 90°

∠OHB = 180 -(49 + 90) = 41°

The law of sines that the ratio of each side of a triangle to the sin of the angle opposite it is the same

Thus

A/sinα  = B/sinβ = C/sinγ

where A, B and C are the three sides of the triangle and α, β, γ corresponding respectively to the angles opposite them.

Using the law of sines  

\frac{OB}{sin 41}  = \frac{BH}{sin49}

Therefore BH which is the height the helicopter is flying at is

BH = OB \frac{sin49}{sin41}

≈   1035.33 feet

8 0
2 years ago
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7 0
4 years ago
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kirza4 [7]
P(x) = (x + 3)Q(x) + R 

<span> P(-3) = (0)Q(x) + R </span>

<span>i P(-3) = R </span>

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6 0
3 years ago
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