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nevsk [136]
3 years ago
5

Perimeter of 14 and 4x+5

Mathematics
1 answer:
lukranit [14]3 years ago
4 0
Your answer should be on a graph and I dont know which graph u have....
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the equation of the line / is -3y+4x=9. write the equation of a line that is parallel to the line / and passes through the point
nekit [7.7K]

Hey!

So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:

-3y + 4x = 9

-3y = -4x + 9

y = (4/3)x - 3

Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:

6 = (4/3)(-12) + b

6 = -16 + b

22 = b

Now that we know b, we have both the y-intercept and the slope so our equation would be:

y = (4/3)x + 22

4 0
2 years ago
What is the formula for finding the final balance of an account that earns interest compounded annually? State what each variabl
Schach [20]
C=P[(1+r)^n-1]
C = COMPOUND INTEREST
P = PRINCIPAL 
r = rate per period
n = number of periods
5 0
3 years ago
Solve each system using elimination PLEASE HELP!!!
Mrrafil [7]
1.
8x+5y=6 \ \ \ |\times 2 \\
3x-2y=10 \ \ \ |\times 5 \\ \\
16x+10y=12 \\
\underline{15x-10y=50} \\
16x+15x=12+50 \\
31x=62 \ \ \ |\div 31 \\
x=2 \\ \\
3x-2y=10 \\
3 \times 2-2y=10 \\
6-2y=10 \ \ \ |-6 \\
-2y=4 \ \ \ |\div (-2) \\
y=-2 \\ \\
(x,y)=(2,-2)

2.
-3x+8y=10 \ \ \ |\times 5 \\
5x+6y=80 \ \ \ |\times 3 \\ \\
-15x+40y=50 \\
\underline{15x+18y=240 \ \ } \\
40y+18y=50+240 \\
58y=290 \ \ \ |\div 58 \\
y=5 \\ \\
5x+6y=80 \\
5x+6 \times 5=80 \\
5x+30=80 \ \ \ |-30 \\
5x=50 \ \ \ |\div 5 \\
x=10 \\ \\
(x,y)=(10,5)

3.
4x+12y=-24 \\
3x-6y=-18 \ \ \ |\times 2 \\ \\
4x+12y=-24 \\
\underline{6x-12y=-36} \\
4x+6x=-24-36 \\
10x=-60 \ \ \ |\div 10 \\
x=-6 \\ \\
3x-6y=-18 \\
3 \times (-6)-6y=-18 \\
-18-6y=-18 \ \ \ |+18 \\
-6y=0 \ \ \ |\div (-6) \\
y=0 \\ \\
(x,y)=(-6,0)

4.
5x-6y=48 \ \ \ |\times 2 \\
2x+5y=-3 \ \ \ |\times (-5) \\ \\
10x-12y=96 \\
\underline{-10x-25y=15} \\
-12y-25y=96+15 \\
-37y=111 \ \ \ |\div (-37) \\
y=-3 \\ \\
2x+5y=-3 \\
2x+5 \times (-3)=-3 \\
2x-15=-3 \ \ \ |+15 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
(x,y)=(6,-3)
8 0
3 years ago
PLEASE HELP 25 POINTS!!!
miss Akunina [59]

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

\sf S \infty  \ =a_1  \ x \ \dfrac{1}{1-r}

Identify following

  • a1 = 2
  • r = 1/2

Solve:

\rightarrow \sf S \infty  \ =2  \ x \ \dfrac{1}{1-\frac{1}{2} }

\rightarrow \sf S \infty  \ =4

The sum of this infinity series is 4

5 0
2 years ago
I cant figure this one out pls help
Eva8 [605]

The value of x from the given expression is -2

<h3>Slope of a line</h3>

The formula for calculating the slope of a line is expressed as:

Slope = y2-y1/x2-x1

Given the following parameters

m = 1

(x1, y1) = (0, 2)

(x2, y2) = (x, 0)

Substitute

1 = x-0/0-2

1 = x/-2

x = -2

Hence the value of x from the given expression is -2

Learn more on slope of a line here: brainly.com/question/3493733

#SPJ1

4 0
1 year ago
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