Answer:
12 = 5k/2
24 = 5k
Step-by-step explanation:
Raul is making chocolate chip pancakes.
The number of chocolate chips he uses is proportional to how many ounces of mix he makes.
Hence,
Chocolate chips ∝ Number of Ounces
Chocolate chips = c
Number of Ounces = m
= cm
c = km
Where k = Constant of Proportionality
The recipe said that for every 2 1/2 ounces of the mix, 12 chocolate chips be added.
Hence
12 = 21/2 × k
12 = 5/2 × k
12 = 5k/2
Cross multiply
12 × 2 = 5k
24 = 5k
The equation that represents the relationship between c the number of chocolate chips and m the number of ounces is
12 = 5k/2
24 = 5k
Answer:
An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
where
Given the line
y = -13x+4
comparing with the slope-intercept form of the line equation
The slope of the line = m = -13
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -13
Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13
Using the point-slope form of the line equation
where
- m is the slope of the line
substituting the values of the slope m = 1/13 and the point (4, 3)
Add 3 to both sides
Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:
Pienso que un libro pesa 1.9 libras
Answer:
neither, since the gradients are not the same, as well as the c value
Step-by-step explanation:
Answer:
The length of the rectangle = 6 x +6
Step-by-step explanation:
<u><em>Step(i):- </em></u>
Given that the width of the rectangle = 2x - 2
Given that the length of the rectangle = y
Perimeter of the rectangle
P = 2 (length + width)
= 2( y + 2x -2)
Given perimeter of the rectangle = 16 x +8
<u><em>Step(ii):-</em></u>
2( y + 2x -2) = 16 x +8
⇒ 2 y + 4x -4 = 16 x +8
⇒ 2 y = 16x +8-4x+4
⇒ 2 y = 12 x + 12
⇒ y = 6 x +6
The length of the rectangle = 6 x +6