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3 years ago

If a circle has a diameter whose endpoints are (-5, 8) and (5, -8), then the circle has its center at the origin. True False

Mathematics

2 answers:

Gwar [14]3 years ago

5 0

Answer:true

Step-by-step explanation:

earnstyle [38]3 years ago

4 0

You add the two results together and then you divide it by two to get the mid point:
-5,8 + 5,-8 = 0,0
0,0 / 2 = 0,0

The mid point is the centre,
Hope this helps! :)

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Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).

Airida [17]

Answer:

-10/3 is the answer

Step-by-step explanation:

Given are two complex numbers as

$z1=\frac{2}{5} (cos63 + isin63)\\z2=\frac{10}{3} (cos 117 + isin117})$

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles as

A+B = 63+117 =180

$z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)$

= $\frac{-10}{3}$

Since sin180=0 and cos 180=-1

7 0

3 years ago

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths o

Vesna [10]

Answer: See explanation

Step-by-step explanation:

The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:

First side = x

Second side = x + 10

Third side = x + 10 + 10 = x + 20

Forth side = x + 30

Fifty side = x + 40

Therefore,

x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500

5x + 100 = 500

5x = 500 - 100

5x = 400

x = 400/5

x = 80

Therefore, the lengths will be:

First side = x = 80cm

Second side = x + 10 = 80 + 10 = 90cm

Third side = x + 20 = 80 + 20 = 100cm

Forth side = x + 30 = 80 + 30 = 110cm

Fifty side = x + 40 = 80 + 40 = 120cm

8 0

3 years ago

78 : 120 :: ? : 66 please give answer with explanation

yawa3891 [41]

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0

2 years ago

{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?

maria [59]

Answer:

{1, 5}

Step-by-step explanation:

the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}

Hope this helps have a great day! <3

also, pls mark brainliest!!

7 0

3 years ago

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

White raven [17]

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

3 0

3 years ago