Answer:
7890-89-=098
Step-by-step explanation:
79806-78-=079
Answer:
Therefore, Sara’s current age (5 years later) is 19 years old.
Step-by-step explanation:
Let xx be Sara’s age five years ago. Therefore, Sara’s aunt’s age 5 years ago is 4x4x.
The difference in their ages is a constant, no matter how many years have gone by. (Can you see why?)
4x−x=42
3x=42
x=42/3
x=14
14+5=19
Therefore, Sara’s current age (5 years later) is 19 years old.
Answer:
y = 3/4 x - 5
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.
4x + 3y = -6
Solve for y.
3y = -4x - 6
y = -4/3 x - 2
The slope of the original line is -4/3.
The slope of the perpendicular is 3/4.
Now we need to find the equation of line with slope 3/4 that contains point (4, -2).
y = mx + b
-2 = (3/4)(4) + b
-2 = 3 + b
-5 = b
b = -5
The equation is
y = 3/4 x - 5
<h3>Answer:</h3>
c) there are infinitely many solutions
<h3>Explanation:</h3>
Add x to the <em>first equation</em> to put it in standard form:
... x + y = 3
Divide the <em>second equation</em> by the common factor of all terms, 2, to put it in standard form:
... x + y = 3
These two equations describe the same line. Every point on the line is a solution to both equations, so there are infinitely many solutions. (We say these equations are "dependent.")
Answer:
False
Step-by-step explanation:
