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Novay_Z [31]
3 years ago
6

A diameter of a circle has endpoints P(-10,-2) and Q(4,6).

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Check the picture below.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{-10}~,~\stackrel{y_1}{-2})\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{4-10}{2}~~,~~\cfrac{6-2}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{4}{2} \right)\implies \stackrel{\textit{center}}{(-3~,~2)} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{\textit{center}}{(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})}\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-3)]^2+[6-2]^2}\implies r=\sqrt{(4+3)^2+(6-2)^2} \\\\\\ r=\sqrt{49+16}\implies r=\sqrt{65} \\\\[-0.35em] ~\dotfill

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{2}{ k})\qquad \qquad radius=\stackrel{\sqrt{65}}{ r} \\[2em] [x-(-3)]^2+[y-2]^2=(\sqrt{65})^2\implies (x+3)^2+(y-2)^2=65

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The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomi
gtnhenbr [62]

The sum of polynomials involves adding the polynomials

The other polynomial is y^3 -y^2+ 4y - 1

The sum of the polynomials is given as:

Sum = y^3 + 3y^2 + 4y - 4

One of the polynomials is given as:

P = 4y^2 - 3

Represent the other polynomial with Q.

So, we have:

P +Q =Sum

Substitute the expressions for P and Sum

4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4

Make Q the subject

Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3

Evaluate like terms

Q =y^3 -y^2+ 4y - 1

Hence, the other polynomial is y^3 -y^2+ 4y - 1

Read more about polynomials at:

brainly.com/question/1487158

8 0
2 years ago
Plz help with this question!
Free_Kalibri [48]

Answer: 4 1/6

Step-by-step explanation:

6 0
3 years ago
Solve.
Pavlova-9 [17]

Answer:

  (2, -3)

Step-by-step explanation:

Apparently, the equations are supposed to be ...

  • 4x +y = 5
  • 3x +y = 3

The solution for x can be found by subtracting the second equation from the first:

  (4x +y) -(3x +y) = (5) -(3)

  x = 2 . . . . . . . matches the second answer choice

Y can be found from either equation:

  y = 5 - 4x . . . . . subtract 4x from the first equation

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The solution is (x, y) = (2, -3).

7 0
3 years ago
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pickupchik [31]

Answer:

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Step-by-step explanation:

Just add 395 and 30 together.

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5 0
2 years ago
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Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day
marta [7]

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

3 0
3 years ago
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