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3 years ago

6-(y-2) What is the answer?

Mathematics

2 answers:

yaroslaw [1]3 years ago

8 0

Answer:

Step-by-step explanation:

6-y+2=0

8-x=0

-x=-8

x=8

frozen [14]3 years ago

7 0

Answer:

-y+8

Step-by-step explanation:

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Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

= $\sqrt{ (6- 2)^{2} + ( 2 +4))^{2} }$

= $\sqrt{ (4)^{2} + ( 6))^{2} }$

= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

THIRD QUESTION
Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

So, the co ordinates of C are (a, b) which is (-1 , 4)


SECOND QUESTION:
Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0

3 years ago

HELP PLEASE!!!!!!!!

Taya2010 [7]

Hi There! I’m happy to help! Answer: $23.05

Step-by-step explanation:

First, since there is 3 shirts that cost $25.65, multiply them. Product is $76.95. Now, we subtract the $76.95 from the $100, making $23.05 her change. Hope this helps!

8 0

3 years ago

Read 2 more answers

What is the larger unit for 377 When You count from 368 to 500

Gre4nikov [31]

Answer:

500 - 368 = 132This means that to reach 500 from 368, you will need to count 132 ones.132 can be written in several ways including:132 = 100 + 32132 = 100 + 30 + 2For the first one:the count will be 1 one hundred and 32 units to reach 500 from 368For the second one:the count will be one hundred, 30 tens and 2 ones to reach 500 from 368

Read more on Brainly.com - brainly.com/question/725998#readmore

Step-by-step explanation:

8 0

4 years ago

(2+x)dy/dx=3y need help

den301095 [7]

$(2+x) \frac{dy}{dx} =3y$
$\frac{1}{3y} dy= \frac{1}{2+x} dx$
$\int { \frac{1}{3y} } \, dy = \int { \frac{1}{2+x} } \, dx$
$\frac{1}{3}\ln(3y) = \ln(2+x) + C$
(raise both to the power e): $e^{ \frac{1}{3}\ln(3y)}=e^{\ln(k(2+x))}$
$(3y)^ \frac{1}{3} =k(2+x)$
$3y=k(2+x)^3$
$y= k(2+x)^3$

5 0

3 years ago

Find the equation of the line thatcpasses through (3, 1) and is parallel to y=1-2x.

Anna11 [10]

Slope of y=1-2x is -2
Using point intercept form:
y-1=-2(x-3)
y-1=-2x+6
y=-2x+7

5 0

2 years ago