How might you prove your observations in Question 2 using algebra and x and y-coordinates? Briefly outline an approach using what you know about a midpoint and the slope of a line.

Answers

Answer 1

Answer:

Answer:

I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.

Step-by-step explanation:

Here is the answer from Plato! Hope this helps :)

Answer 2

Answer:

Answer:

Related Questions

Can someone please help me, this is my last question I have been stuck on it for 30 minThe work of a student to solve a set of equations is shown: Equation A: y = 15 − 2z Equation B: 2y = 3 − 4z Step 1: −2(y) = −2(15 − 2z) [Equation A is multiplied by −2.] 2y = 3 − 4z [Equation B] Step 2: −2y = 15 − 2z [Equation A in Step 1 is simplified.] 2y = 3 − 4z [Equation B] Step 3: 0 = 18 − 6z [Equations in Step 2 are added.] Step 4: 6z = 18 Step 5: z = 3 In which step did the student first make an error? Step1 Step 2 Step 3 Step 4
Find the measure of angle A
What is the period of a cosine and sine function
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A y = 60x + 10 Car B y = 40x + 70 After how many hours will the two cars be at the same distance from their starting point and what will that distance be? 2 hours, 150 miles 2 hours, 190 miles 3 hours, 150 miles 3 hours, 190 miles
What is a real situation that would be represented by a+3

Please help on Photo question. Mathematics. Second

Answers

the first solution
there's no number which > 3 & < 1
so it is
x>3
x<1

mr schiffer planted 9 fruit trees in his orchard. of the , 1/3 are grapefruit trees. how many trees are garapefruit trees

Answers

if 1/3th of the trees are grapefruit trees and he planted 9 trees there is 3 grapefruit trees hoped this help

the answer is 1/3×9=3
so 3 are grapefruit trees

(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!
a
b
c
d

Answers

Answer:

Factored form is 4x(2x+3)

Step-by-step explanation:

$8x^2 + 12x$

The factors are

8x^2 ----> 2*2*2*x*x

12x -------> 2*2*3*x

GCF is 2 * 2 * x= 4x

Now we factor out GCF from 8x^2 + 12x

When we factor out GCF, divide each term by 4x

$4x((8x^2)/(4x) +(12x)/(4x))$

4x(2x +3)

Factored form is 4x(2x+3)

PLEASE HELP!!! needs to be answered in sentaces(01.07 HC)

Michael and Derrick each completed a separate proof to show that corresponding angles AKG and ELK are congruent. Who completed the proof incorrectly? Explain.

Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.

Michael's Proof

Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKG is congruent to angle AKL 2. Vertical Angles Theorem
3. angle BKL is congruent to angle ELK 3. Alternate Interior Angles Theorem
4. angle AKG is congruent to angle ELK 4. Transitive Property

Derrick's Proof

Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKG is congruent to angle BKL 2. Vertical Angles Theorem
3. angle BKL is congruent to angle ELK 3. Alternate Interior Angles Theorem
4. angle AKG is congruent to angle ELK 4. Transitive Property

Answers

The proof that is completed incorrectly is Michael's proof of the statement "corresponding angles AKG and ELK are congruent."

Both proofs start with the same given information – lines AB and EF are parallel, and transversal segment GJ crosses line AB at point K and crosses line EF at point L. Both proofs also rely on the same theorems – the vertical angles theorem and the alternate interior angles theorem. However, the difference is in the way the two proofs make the jump from the first three statements to the fourth statement.

In Michael's proof, statement number 3 is incorrect. Statement 3 in Michael's proof states that "angle BKL is congruent to angle ELK" based on the alternate interior angles theorem. However, this statement is not true because the interior angle BKL is not formed by the intersection of two straight lines from a point on the line AB and a point on the line EF, which is required for the alternate interior angles theorem to apply.

In contrast, Derrick's proof uses the vertical angles theorem before applying the transitive property in statement 4. The statement "angle AKG is congruent to angle ELK" in Derrick's proof is a result of applying the transitive property to the statement that "angle AKG is congruent to angle BKL" in statement 3 and the statement that "angle BKL is congruent to angle ELK" in statement 2, which are both results of applying the vertical angles theorem. This is a valid proof.

Therefore, Michael's proof is incorrect because of an incorrect application of the alternate interior angles theorem, while Derrick's proof is correct because it uses the vertical angles theorem and applies the transitive property correctly.

Simplify the question
10x /(divide) -2y

Answers

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

10x

---------

-2y

-5x

This reduces to ----------

Write an equation of the line in standard form with integer coefficients y=-3/5x+3

Answers

Answer:

Step-by-step explanation:

Let's multiply all the terms in 5 :

5y=-3x+15

Other Questions

What element in the excerpt from Life on the Mississippi most suggests that it is a realist text?A.It has dialogue that is both witty and believable.B.It contains well-rounded and diverse characters.C.It concerns itself with the trials of a daily occupation.D.It pays close attention to the physical details of a setting.

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?c(p) + p(g) = 1.92g c[p(g)] = 0.896g g[c(p)] = 1.92p c(p) ⋅ p(g) = 0.896pg

Select the correct answer.What is the factored form of 1,458x3 − 2? A. 2(9x − 1)(81x2 + 9x + 1) B. 2(9x + 1)(81x2 − 9x + 1) C. (9x − 2)(81x2 + 18x + 4) D. (9x + 2)(81x2 − 18x + 4)

The net of a triangular prism and its dimensions are shown in the diagram. what is the lateral surface area of the triangular prism in square centimeters A-264 cm B-240cm C-225cm D “Not here”