Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
Answer:
Each Caramel Macchiato is $5.60
Step-by-step explanation:
You could write the equation 5x+7=35
x stands for the price of each macchiato
the +7 is the $7 left-over after getting 5 macchiatos.
Then solve the equation.
1) subtract 7 on both sides
5x=28
2) divide by 5 on both sides
x=5.60
Answer:
3
Step-by-step explanation:
1. Find the area of the green block
Area = L x W x H
1/3 *1*1 = 1/3
2. Find the area of the blue block
1*1*1 =1
3.) Divide the blue area by the green area
1 ÷
= 3
Check : 1/3 + 1/3 + 1/3 = 3/3 3/3 = 1
3 green blocks can fit into 1 blue block