Answer:
What is the relationship between equations and graphs?
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Step-by-step explanation:
Here we are required to rewrite the equation ax-by=c, where a,b,c>0 In the slope-intercept form.
The slope-intercept form of ax-by=c is ;
y = (a/b)x - (c/b).
There a no. of ways to write the equation of a line; however, the most popular of these ways is the slope-intercept form.
- The slope-intercept form usually takes the form ; y = mx + c.
Therefore, the equation ax-by=c can be rewritten thus;
- ax - c = by
- By divIDing both sides of the equation by b, we have ;
- (a/b)x - (c/b) = y
Consequently, the slope-intercept form of ax-by=c is ;
- y = (a/b)x - (c/b).
- where , (a/b) is the slope(m)
- and (-c/b) is the intercept(c).
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Answer:
x = 8
Step-by-step explanation:
Two secants drawn from an external point to the circle.
The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is
(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)
(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL
3x² - 12 = 3x² - x - 4 ( subtract 3x² - x - 4 from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
Answer:
Step-by-step explanation:
Total Students in Class = 25+ 15=40
Probability= (Number of Girls in Class) ÷ (Total students in Class)
Probability of girl= 15 ÷ 40 = 0.375
Answer:
Step-by-step explanation:
Given
g(x) = f(x) 4 units left
Required
Find g(x)
When a point is translated 4 units left, the rule is:
So, we have:
is calculated as:
Hence:
