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2 years ago

Which is a parallelogram but not a rectangle?

Mathematics

1 answer:

Alinara [238K]2 years ago

4 0

I’m pretty sure that your answer is the last one

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8x-5y=15 <br>6x+4y=43<br>solve the system by any method

Sedbober [7]

Answer:

$x=\frac{275}{62}$ , $y=\frac{127}{31}$

Step-by-step explanation:

<h3>I will use the elimination method.</h3>

We want to make the X's the same:

$24x-15y=45$

$24x+16y=172$

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

$31y=127$

So:

$y=\frac{127}{31}$

Substitute y into either equation 1 or 2:

(I chose equation 1)

$8x-5(\frac{127}{31})=15$

$8x=5(\frac{127}{31}) + 15$

$x=\frac{5(\frac{127}{31})}{8}$

So:

$x=\frac{275}{62}$

5 0

2 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

6 0

2 years ago

Pls help! will mark brainliest if correct

nevsk [136]

I dont know what is it sorry but I try the love yaaysya

3 0

2 years ago

204, 200,196,... find the 31st term

rewona [7]

Answer:

31st term = 84

Step-by-step explanation:

Given:

204, 200,196,...

Find:

31st term

Computation:

204, 200,196,...

First term a = 204

Difference d = a3 - a2

Difference d = 196 - 200

Difference d = -4

An = a + (n-1)d

A31 = 204 + (31-1)(-4)

A31 = 204 - 120

A31 = 84

6 0

3 years ago

Read 2 more answers

What is the solution to the system of equations below?

noname [10]

Answer:

solution: (9, 3) , x = 9, y = 3

Step-by-step explanation:

Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21

convert to algebra.

- 4x + 6y = -18 ;

y = -2x + 21;

let us solve this with elimination

change -4x + 6y = -18 to -2x + 3y = -9

get: -2x + 3y = -9

and 2x + y = 21

add.

-2x + 2x + 3y + y = -9 + 21

4y = 12

y = 3

2x + (3 ) = 21

2x = 18

x = 9

(9, 3)

8 0

3 years ago

Read 2 more answers