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2 years ago

Find the midpoint of the line segment joining the points (9,2) and (-3,-2)

Mathematics

1 answer:

FromTheMoon [43]2 years ago

7 0

Answer:

(3,0)

Step-by-step explanation:

The midpoint formula is as follows:

$( (x1+x2) /2, (y1 + y2) /2 )$

x1 would be 9, x2 would be -3, y1 would be 2, y2 would be -2. When plugged in, you should get 6/2, and 0/2 for y. When simplified, x would be 3 and y would be 0. This means that the midpoint of the line segment is (3,0)

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Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t

Rasek [7]

Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application

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2 years ago

30 POINTS!!! PLEASE HELP ME

Ludmilka [50]

Remark

All you need is 2 points to get the line of the equation. One is itself (B and B') is the same in both triangles. Now we need to find one more point. Since this is a reflection, the midpoint between C and C' is the second point. That choice of C and C' is completely arbitrary.

Step One

y intercept of the line. That point is B which is (0,1)

Step Two

Find the midpoint between C and C'

C is (-4,-2) and C' is ( 0 , - 4) The midpoint is

C" = (x2 + x1)/2 , (y2 + y1)/2

C" = (-4 + 0 )/2 , (-2 + - 4) / 2

C" = (-4)/2 , - 6/2

C" = (-2, - 3) C" is the midpoint between C and C'

Step 3

Find the equation of the line.

y = ax + b We are trying to find A

y = ax + 1

-3 = a(-2) + 1

-3 - 1 = a(-2)

- 4 = a(-2) Divide by -2

-4/-2 = a

a = 2

The slope of the line is 2

Answer

y = 2x + 1

6 0

3 years ago

Which equation has a graph that is a parabola with a vertex at (–1, –1)?

zzz [600]

$y = {(x + 1)}^{2} - 1$

The one is a vertical translation of the parent function to the left of one

$f(x) = {x}^{2}$

making it -1.

4 0

3 years ago

Read 2 more answers

Which of the following expressions represents the verbal description below?

Georgia [21]

Cube of the sum of 4 and 9 times x means (4+9x)^3
Product of 5times x and the difference of x and 1 means 5x(x-1)

Lets divide

Expression is

$\\ \sf\longmapsto \dfrac{(4+9x)^3}{5x(x-1)}$

5 0

2 years ago

Read 2 more answers

Mr. Nelson bought a car for $20,000 with a 5% interest rate.

LekaFEV [45]

Answer:

A ) Hence The interest for the car loan is $ 4,310

B ) Hence The interest for the car loan is $ 3,152

Step-by-step explanation:

Given as :

The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

A ) The period of loan = 48 months = 4 years

Let the interest of the loan = CI

<u>From compounded method</u>

Amount = Principal × $(1 + \frac{\textrm Rate}{100})^{\textrm time}$

Or, Amount = $ 20,000 × $(1 + \frac{\textrm 5}{100})^{\textrm 4}$

Or, Amount = $ 20,000 × $(1.05)^{4}$

Or, Amount = $ 20,000 × 1.2155

∴ Amount = $ 24310

So, Interest = Amount - Principal

Or, CI = $ 24,310 - $ 20,000

∴ CI = $ 4,310

Hence The interest for the car loan is $ 4,310

B ) The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

The period of loan = 3 years

Let the interest of the loan = CI

So,

<u>From compounded method</u>

Amount = Principal × $(1 + \frac{\textrm Rate}{100})^{\textrm time}$

Or, Amount = $ 20,000 × $(1 + \frac{\textrm 5}{100})^{\textrm 3}$

Or, Amount = $ 20,000 × $(1.05)^{3}$

Or, Amount = $ 20,000 × 1.1576

∴ Amount = $ 23,152

So, Interest = Amount - Principal

Or, CI = $ 23,152 - $ 20,000

∴ CI = $ 3,152

Hence The interest for the car loan is $ 3,152

6 0

3 years ago