Answer:
The scale factor is now 3
Step-by-step explanation:
6/2=3
12/4=3
The smaller square was increased by the scale factor of 3
X = 5
since we know y= 5 + x , plug this into y in the second equation.
2x + 2 (5 + x) = 30
distribute 2 into the 5 and x
2x + 10 + 2x = 30
combine like terms
4x + 10 = 30
subtract 10 from both sides
4x = 20
divide four by both sides to isolate the variable
x = 5
Answer:
-5, -9
Step-by-step explanation:
This point is located in the fourth quadrant. When rotated at 270 degrees, it'll end up in the third quadrant. The rules for this quadrant is that both the x and y value will be negative.
Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
<h3>Radical equations and expression</h3>
Given the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
Learn more on radical expression here: brainly.com/question/738531
We are have a system of equations with 2 variables, x and y
Equation 1: -3x-3y = 3
Equation 2: y = -5x-17
For equation 1, the y is by itself on one side of the equation, so it is really easily to substitute it into equation 2. In general, to solve for system of equations, you either do elimination or substitution. You just have to find which is easier for this situation.
By substituting y for -5x-17 in equation 1, there is only 1 variable which we can solve for.
-3x-(-5x-17) = 3
Distribute negative sign to (-5x-17) Avoid the common error of forgetting!
-3x+5x+17 = 3
Combine like terms- same variables are like terms (ex. 4x and 29x) and all constants are like terms (ex. 7 and 189 )
2x+17 = 3
Subtract 17 from both sides so all the variables are on one side and the constants on the other
2x = -14
Divide both sides by 2 to isolate the x
x = -7
We now know that x = -7 so we need to plug it into an equation to solve for y
Equation 2: y = -5x-17
y = -5 (-7) -17
y = 18
Now we know that x = -7 and y = 8
We can write it as (-7, 8)
