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Aliun [14]
2 years ago
14

Find the midpoint of the line segment with end points (-9,3), (5,11)

Mathematics
1 answer:
denis-greek [22]2 years ago
8 0

Answer:

The midpoint is (-2,7)

Step-by-step explanation:

To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2

(-9+5)/2 = -4/2 =-2

To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2

(3+11)/2 = 14/2 = 7

The midpoint is (-2,7)

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4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another
bonufazy [111]

Answer:

The answer is C. on edgen.

Step-by-step explanation:

C. ∠BEA ≅ ∠BEC

5 0
3 years ago
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Arlecino [84]

Answer:

f(x)=6x³ - 8x

Step-by-step explanation:

5 0
3 years ago
Which exponential function has an x-intercept
Tema [17]
I suppose you thought the following:

A) f(x) = 100^(x-5) - 1
B) f(x) = 3^(x-4) - 2
C) f(x) = 7^(x-1) + 1
D) f(x) = 8^(x+1) - 3

In that case the correct answers are A), B) and D)

Good luck!!!



3 0
3 years ago
Which statement shows how the product of (x + 7)2 demonstrates the closure property of multiplication?
Illusion [34]

<h3>(x + 7)² = x² + 14x + 49</h3>

The true statement that show the closure property of multiplication :

<h3>a.  x² + 14x + 49 is a polynomial</h3>

\texttt{ }

<h3>Further explanation</h3>

<em>If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then</em>

x_1 + x_2 + x_3 = - \frac{b}{a}

x_1 x_2 + x_1 x_3 + x_2 x_3 = \frac{c}{a}

x_1 x_2 x_3 = - \frac{d}{a}

Let us now tackle the problem!

\texttt{ }

This problem is about Polynomial.

(x + 7)^2 = (x + 7)(x + 7)

(x + 7)^2 = x^2 + 7x + 7x + 7(7)

(x + 7)^2 = x^2 + 14x + 49

x^2 + 14x + 49 is a polynomial.

x + 7 is polynomial.

It demonstrates the closure property of multiplication.

\texttt{ }

<h3>Conclusion:</h3>

<em>The true statement that show how the product of (x + 7)² demonstrates the closure property of multiplication:</em>

<h3>a.  x² + 14x + 49 is a polynomial</h3>

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Polynomial

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

7 0
3 years ago
Read 2 more answers
The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A1 ∩ A2) = 0. Suppose P(
san4es73 [151]

Answer:

Check Explanation

Step-by-step explanation:

a) Yes, the two events are mutually exclusive. The true meaning of mutually exclusive is that both A1 and A2 have no sample points in common and cannot both occur at the same time.

The only sure mathematical way to tell is from P(A1 n A2) = 0.

Note that this is different from when two events are independent. Two events are independent when the chances of one occurring does not depend on the chances of the other event occurring at all. Independent events can both occur at the same time. Mathematically, independent events are described as P(A1|A2) = P(A1) and P(A2|A1) = P(A2)

b) To solve for P(B)

We use the mathematical definition of the conditional statement

P(B|A1) = P(B n A1)/P(A1)

P(B n A1) = P(B|A1) × P(A1) = 0.2 × 0.4 = 0.08

P(B|A2) = P(B n A2)/P(A2)

P(B n A2) = P(B|A2) × P(A2) = 0.05 × 0.6 = 0.03

P(B) = P(B n A1) + P(B n A2) (especially because A1 and A2 are mutually exclusive)

P(B) = 0.08 + 0.03 = 0.11

Hope this helps!!

5 0
3 years ago
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