x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:
If point D(x, y) is 7/16 M to J, then:
x = (7/16)(4 - 20) + 20 = 13
y = (7/16)(17 - 1) + 1 = 8
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
Find out more on equation at: brainly.com/question/2972832
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It has an infinite rotation symmetry because no matter how you rotate the object, it look the same.
10x - 12 + 10 = 18 - 20
10x - 2 = -2
10x = 0
x = 0
Answer:
Lines BC and F represent perpendicular lines
Step-by-step explanation:
we have
<em>Line BC</em>
the slope of the line BC is 
<em>Line F</em>
the slope of the line F is 
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
we have
-----> slope line BC
-----> slope line F
Find the product of their slopes
therefore
Lines BC and F represent perpendicular lines
