The equation of the line -(11,-12) and (-8,-21)

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

What is the area of a parallelogram whose bases are 9

Nady [450]

 Base=9cm

height=3 cm

Area of parallelogram=b*h

 =9*3

 =27cm^2.

Hope this will help u...:)

6 0

4 years ago

1. Define a variable and write each phrase as an algebraic expression.

katen-ka-za [31]

Answer:

6x=6c?

30-=ml

Step-by-step explanation:

I'm sorry if i got this wrong

7 0

3 years ago

Guys i need ur help fast please

Maslowich

Answer:

a) -3

b) 5

c) 7

d) 4

Step-by-step explanation:

We have the function $p(x)=5x^3-3x^2+2x^5+7$

a) We need to find the coefficient of $x^2$ .

This means that we need to find out what number is alongside the $x^2$ in this equation. From the function, we can find that it is -3

b) Now we need to find the degree of $p(x)$ . Recall that the degree refers to the highest power of x that is present. As $x^5$ is the largest power, our degree would be 5.

c) The constant term refers to the number within the function that does not have any x's with it. In this function, that number would be 7.

d) Now we need to find the number of terms. For this one, we just need to count how many terms are separated by + or - signs. There are 4 in this function.

6 0

3 years ago

What is it called when you have two burgers but one of them is half?

antiseptic1488 [7]

1 1/2? I pretty sure this is the answer.

4 0

3 years ago

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The equation of the line -(11,-12) and (-8,-21)​

The equation of the line -(11,-12) and (-8,-21)