The graphs and their equations are:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
<h3>How to determine the equations of the graphs</h3>
The three lines are linear equations, because they are all straight lines.
Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope
Next, we rewrite the equations in slope-intercept form.
So, we have:
Divide through by -12
Make y the subject
Divide through by 2
Make y the subject
Divide through by -9
Make y the subject
Line 1 has the highest slope, while line 3 has the least slope.
So, we have the following equations:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
Read more about linear equations at:
brainly.com/question/14323743
Answer:
Step-by-step explanation:
To solve the question we refresh our knowledge of the quotient rule.
For a function f(x) express as a ratio of another functions u(x) and v(x) i.e
, the derivative is express as
from 
we assign u(x)=lnx and v(x)=x^2
and the derivatives
.
Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e 
If we substitute values into the quotient expression we arrive at
Answer: Coffiecent is 26
Step-by-step explanation
the travel from Sun to Jupiter it will take more than 43 minutes . depending on whether are on the same side of the Sun as well as Jupiter or on the other side
another point always sun and Jupiter are not nearest so only changes in the light travels
1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
Learn more about proportional relationship on:
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#SPJ1
3/33 can be reduced to 1/11 by dividing by 3 on the top and bottom.
1/11 is not equal to 1/10. Although they have the same numerator or number on top, 1, they don't have the same number in the bottom.
So they are not equivalent.
Hope this helps.
