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Elanso [62]
4 years ago
6

Find the distance between point P(2, -1) and Q(10,-7)

Mathematics
1 answer:
kramer4 years ago
3 0
The distance between the two points is 10.
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The school librarian has $100 to spend on some books for the school. She wants to order many copies of the same book so an entir
Alenkasestr [34]
She will get 23 books.
So, first, you take the shipping away to get $93.05, 
then you divide $93.05 by $3.95 which equals 23.55
and you can't have half a book; so it's 23!
3 0
3 years ago
Read 2 more answers
In the accompanying diagram. altitude CD is
Bogdan [553]

Answer:  √117

Step-by-step explanation:

Since no diagram present, am assuming hypotenuse AB and right angle C.  Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.

a^2 + b^2 = 22^2 (Pythagorean)

Using Pythag on two smaller triangles,

x^2 + 13^2 = a^2

x^2 + 9^2 = b^2

Substituting in first equation,

x^2 + 13^2 + x^2 + 9^2 = 22^2

x^2 = 117, so x = √117

7 0
3 years ago
Rewrite the equation in polar form.
ycow [4]

Answer:

C) √5(cos(117°) +i·sin(117°))

Step-by-step explanation:

The rectangular number a+bi can be written in polar form as ...

√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))

Here, we have a=-1, b=2, so the magnitude is ...

√((-1)^2 +2^2) = √(1+4) = √5

and the angle is ...

arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle

Then you have ...

-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"

_____

Comment on the answer

The "polar form" is generally written as ...

(magnitude)·(cos(angle) +i·sin(angle))

You may also see it as ...

(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"

In my engineering courses, we often used the form ...

(magnitude) ∠ (angle)

The form used by my calculator is ...

(magnitude)·e^(i·angle) . . . . . where angle is usually in radians

4 0
3 years ago
Area of a triangle with a base of 42 in. and a height of 35 in.
VARVARA [1.3K]

Answer:

the area is 735

Step-by-step explanation:

using the fomular 1/2(the base *the height you solved for the area

6 0
4 years ago
Read 2 more answers
Given 3 and 1 over 10 times negative six times 5 over 12, determine the product.
Finger [1]

3\frac{1}{10} \times -6\cdot \cfrac{5}{12}\implies \cfrac{3\cdot 10+1}{10} \times \cfrac{-6\cdot 5}{12}\implies \cfrac{31}{10}\times \cfrac{-6}{12}\cdot 5\implies \cfrac{31}{10}\times \cfrac{-1}{2}\cdot 5 \\\\\\ \cfrac{31}{10}\times \cfrac{-5}{2}\implies \cfrac{31\cdot -5}{10\cdot 2}\implies \cfrac{-155}{20}\implies -7\frac{3}{4}

6 0
2 years ago
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