Triangle = Equilateral Triangle
Therefore, all sides are equivalent to each other.
WORKING OUT:
5x - 22 = 4x - 10
5x - 4x = - 10 + 22
x = 12
CHECKING USING OTHER EQUATION COMBINATIONS:
4x - 10 = 3x + 2
4x - 3x = 2 + 10
x = 12
5x - 22 = 3x + 2
5x - 3x = 2 + 22
2x = 24
x = 24 / 2
x = 12
ANSWER:
x = 12
Answer:
86
Percentage Calculator: 430 is what percent of 500? = 86.
20 ÷ 2 (5,5)
20 ÷ 2 (25)
20 ÷ 50
.4
Answer:
x = 5/39
, y = 539/39
Step-by-step explanation:
Solve the following system:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
In the first equation, look to solve for y:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:
y - (5 x)/2 = 27/2
Add (5 x)/2 to both sides:
{y = 1/2 (5 x + 27)
12.25 x - y = -12.25
Substitute y = 1/2 (5 x + 27) into the second equation:
{y = 1/2 (5 x + 27)
1/2 (-5 x - 27) + 12.25 x = -12.25
(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
In the second equation, look to solve for x:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:
(39 x)/4 - 27/2 = -49/4
Add 27/2 to both sides:
{y = 1/2 (5 x + 27)
(39 x)/4 = 5/4
Multiply both sides by 4/39:
{y = 1/2 (5 x + 27)
x = 5/39
Substitute x = 5/39 into the first equation:
{y = 539/39
x = 5/39
Collect results in alphabetical order:
Answer: {x = 5/39
, y = 539/39
Answer:
3x+5y+12=0
Step-by-step explanation:
This information is given in the question:
m=-3/5
x1=-4
y1=0
The formula for the equation of a line is:
y-y1=m (x-x1)
From this we can make a substitution
y-0=-3/5 (x--4)
Next simplify
y=-3/5 (x+4)
Multiply both sides of the equation by 5
5y=-3x-12
Make the right side of the equation equal to zero
3x+5y+12=0
This is the equation of the line in general form.