Explanation:
We usually use graphs to solve two linear equations in two unknowns.
The basic idea is that a graph of an equation is the pictorial representation of all of the points that satisfy the equation. So, where the graph of one equation crosses the graph of another, the point where they cross will satisfy both equations.
Finding a solution means finding values of the variables that satisfy all of the equations. Hence, the point of intersection is the solution of the equations.
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To solve linear equations by graphing, graph each of the equations. Then find the coordinates of the point where the lines intersect. Those coordinates are the solution to the equations.
If the solution is not at a grid point on the graph, determining its exact value may not be easy. This can often be aided by a graphing calculator, which can often tell you the point of intersection to calculator accuracy.
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If the lines don't intersect, there are no solutions. If they are the same line (intersect everywhere), then there are an infinite number of solutions.
Answer:
1)
1/2 - C
1/4 - B
1/8 -D
? - A
1/2*1/4*1/8 = 1/16 of the class got an A
2) 40 lb = 840 oz
840 x* 2 1/4 = 1890 oz
Archie's dog eats 1890 oz of dog food in 2 1/4 years.
Micah is 5 inches shorter than twice the height of Jasmine
Micah = 5 inches shorter than 2 x Jasmine
Micah = 2 x Jasmine - 5 <em>(jasmine is 32 inches tall. Replace jasmine with 32)
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Micah = 2 x 32 - 5
Micah = 64 - 5
Micah = 59
Micah is 59 inches tall
Answer:
Angles and XWY and STR
Step-by-step explanation:
These two angels are alternate exterior angels because:
- They are on different sides of the transversal (the line intersecting the two parallel lines)
- They have the same angle measure
- They are exterior, meaning they are on the outside, not inside (interior)
Hope this helps!!! :)
Answer:
x² - 16
Step-by-step explanation:
Given
(x - 4)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) - 4(x + 4) ← distribute both parenthesis
= x² + 4x - 4x - 16 ← collect like terms
= x² - 16
