First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
Answer:
f(x)=|x−13|+11
To find the x
coordinate of the vertex, set the inside of the absolute value x−13 equal to 0. In this case, x−13=0
.
x−13=0
Add 13
to both sides of the equation.
x=13
Replace the variable x
with 13
in the expression.
y=|(13)−13|+11
Simplify |(13)−13|+11
.The absolute value vertex is (13,11)
hope this helps ;)
Hey! just so you know you put it upside down but the answer is 23.
Length of side of new square is 17 inches
Step-by-step explanation:
- Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x
Perimeter of a square = 4 × side
⇒ 4(x + 3) = 40 + 2x
⇒ 4x + 12 = 40 + 2x
⇒ 2x = 28
⇒ x = 14 inches
- Step 2: Find length of side of the new square
⇒ x + 3 = 17 inches
