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vredina [299]
3 years ago
15

Trace is at school and wants to send his homing piaeon home for his forgotten Geometry homework. If the coordinates for his home

are (-5,5) and his school is at (-1,2), what is the length of his pigeon's flight directly to the house?
Answer: Length= ____ units​
Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

From the coordinates, we have;

x1 = -5

x2 = -1

y1 = 5

y2 = 2

Now,from the distance formula, distance is;

d=√((x2 - x1)²+(y2 - y1)²)

Plugging in the relevant values, we have;

d = √((-1 + 5)²+(2 - 5)²)

d = √(16 + 9)

d = √25

d = 5

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What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti
Marat540 [252]

Answer:

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

Step-by-step explanation:

Given

x^2 - 5x - 7 = 0

Required

Solve for x using:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

First, we need to identify a, b and c

The general form of a quadratic equation is:

ax^2 + bx + c = 0

So, by comparison with x^2 - 5x - 7 = 0

a = 1     b = -5      c = -7

Substitute these values of a, b and c in

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}

x = \frac{5 \± \sqrt{25 +28}}{2}

x = \frac{5 \± \sqrt{53}}{2}

Split the expression to two

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

To solve further in decimal form, we have

x = \frac{5 + 7.28}{2}  or  x = \frac{5 - 7.28}{2}

x = \frac{12.28}{2}  or  x = \frac{-2.28}{2}

x = 6.14 or x = -1.14

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3 years ago
If tanA = 3cotA, show that, secA = 2​
zysi [14]

Answer:

proved

Step-by-step explanation:

plz mark me brainliest

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2 years ago
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