All categories

3 years ago

What's. Y+1=2(x-5) in Ax+by=c form

1 answer:

4 0

Y + 1 = 2(x - 5)....distribute the 2 thru the parenthesis
y + 1 = 2x - 10...subtract 1 from both sides
y = 2x - 10 - 1
y = 2x - 11....subtract 2x from both sides
-2x + y = -11 ...multiply by -1 to make A positive
2x - y = 11 <===

You might be interested in

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

Find the length of the rectangle side

34kurt

Consider the offered option:
if suppose, that unknown side is '?', then
2*(3x-3)+2*'?'=10x+6;
6x-6+2*'?'=10x+6;
2*'?'=4x+12;
'?'=2x+6
Answer: 2x+6

5 0

3 years ago

Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5

ICE Princess25 [194]

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

$-3y=-4x+5$ and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

$y=\frac{4}{3}x-\frac{5}{3}$ So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):

$y-5=-\frac{3}{4}(x-3)$ * and

$y-5=-\frac{3}{4}x+\frac{9}{4}$ and

$y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4}$ so

$y=-\frac{3}{4}x+\frac{29}{4}$ ** and, in standard form:

4y = -3x + 29 and

3x + 4y = 29***

* : point-slope form

** : slope-intercept form

*** : standard form

3 0

2 years ago

What is the distrubite propety to factor the greatest common divider for 12+80

Olegator [25]

Answer:

First, write out the prime factorization of both 12 and 80: 12 = 2 x 2 x 3 and 80 = 2 x 2 x 2 x 2 x 5. Now collect only the prime numbers that each of them share in their factorizations, which are only two 2's. Thus, the greatest common factor between 12 and 80 is 2 x 2 = 4. Step-by-step explanation:

7 0

3 years ago

What is the solution to the system of equations that is graphed?

konstantin123 [22]

Answer:

(-4,-3)

Step-by-step explanation:

Find the point where the 2 lines intersect. In this problem it is (-4,-3)

x=-4

y=-3

8 0

2 years ago