How were representatives chosen to serve in congress?

Mathematics

1 answer:

In-s [12.5K]3 years ago

8 0

They were originally chosen by state legislators. Now, we use popular course to elect U.S. senators.

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Similfy 1/2 (30x + 4y - 14 ) +1/4 (16x - 28y + 4)

Hoochie [10]

Answer:

19x - 5y - 6

Hope this helped

Step-by-step explanation:

You start by simplifying each expression, you will be distributing the number outside the parentheses on each number inside the parentheses

1/2(30x+4y-14)

1/4(16x -28 +4)

leaving you with

15x + 2y - 7 + 4x - 7y + 1

combine the x's y's and the singular numbers

19x - 5y - 6

Brainliest?

6 0

3 years ago

How to divide 400 by 40

ipn [44]

Answer:

Step-by-step explanation:

because 40 can go into 400 ten times

also if you do it on long division you will do 10 times 40 is 400

7 0

2 years ago

P (2, 3) and Q (6, 10) are two points on the Cartesian plane.

lara31 [8.8K]

Step-by-step explanation:

Given:

$(x_1, \: y_1 ) =(2, \:3)\:\:\&\:\: (x_2, \: y_2) =(6, \:10)$

$l(PQ) = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2}} \\ \\ = \sqrt{ {(2 - 6)}^{2} + {(3 - 10)}^{2}} \\ \\ = \sqrt{ {( - 4)}^{2} + {( - 7)}^{2}} \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{65} \\ \\ \therefore \purple{ \boxed{ l(PQ) = 8.06 \: units}}\\\\$

Let S be the mid-point of PQ.

$\therefore S = \{\frac{x_1+x_2}{2}, \:\:\frac{y_1+y_2}{2}\} \\\\= \{\frac{2 +6}{2}, \:\:\frac{3+10}{2}\} \\\\= \{\frac{8}{2}, \:\:\frac{13}{2}\} \\\\\therefore S= \{4, \:\:6.5\} \\\\$

Equation of line PQ is given as:

$\frac{y-y_1}{y_1 - y_2}=\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-3}{3 - 10}=\frac{x-2}{2 - 6} \\\\\therefore \frac{y-3}{-7}=\frac{x-2}{-4} \\\\\therefore \frac{y-3}{7}=\frac{x-2}{4} \\\\\therefore 4(y-3)=7(x-2)\\\\\therefore 4y-12=7x-14\\\\\therefore 7x-14 - 4y + 12=0\\\\\red{\boxed {\therefore 7x-4y - 2 =0}}$