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3 years ago

The three vertices of a triangle drawn on a complex plane are represented by 0 + 0i, 4 + 0i, and 0+ 3i.

1 answer:

4 0

Thank you for posting your question here at brainly. Below is the solution for the above problem. I hope the answer will help you.

a² + b² = c²
3² + 4² = c²
25 = c²
c = 5

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The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.

Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

The standard form of equation of a circle is;

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

Finding the mid-point of the given points

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

Finding the radius r; the distance from the center to either of the given two points

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

r=2.5

Equation of the circle

(x-1)² + (y-0.5)²=2.5²

(x-1)²+ (y-0.5)²=6.25

3 0

3 years ago

Plz help this is from Khan academy ty!!

Trava [24]

Answer:

The answer is A

7 0

3 years ago

Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 5x + 2.

Oksanka [162]

Answer:

5x-y=50

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

In this problem

The west edge of the basketball court is located on the line

y = 5x + 2 -----> the slope of this line is m=5

If the east edge cannot intersect with the west edge

then

east edge and west edge must be parallel

The east edge could be

5x-y=50

because

y=5x-50 ----> the slope of this line is m=5

5 0

4 years ago

Read 2 more answers

A survey showed that 77% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 22 adults are

Sveta_85 [38]

Answer:

The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

Step-by-step explanation:

A survey showed that 77% of adults need correction for their eyesight.

If 22 adults are randomly selected, find the probability that no more than more than 11 of them need correction for their eyesight.

n =22

p = 0.77

q = 1-p = 1- 0.77=0.23

We are supposed to find $P(x\leq 11)$

$P(x\leq 11)=P(x=1)+P(x=2)+P(x=3)+.....+P(x=11)$

Formula : $P(x=r)=^nC_r p^r q^{n-r}$

$P(x\leq 11)=^{22}C_1 (0.77)^1 (0.23)^{22-1}+^{22}C_2 (0.77)^2 (0.23)^{22-2}+^{22}C_3 (0.77)^1 (0.23)^{22-3}+.....+^{22}C_{11} (0.77)^1 (0.23)^{22-11}$