The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14
<h3>How to write an equation in Slope Intercept form?</h3>
We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.
Let us expand the equation to get;
4x - 32 + y = 9x - 18
Isolate y to get;
y = 9x - 4x - 18 + 32
y = 5x + 14
Thus;
Slope = 5
y - intercept = 14
x - intercept = -2.8
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The number -15 represents in a negative integer
<h3>How to determine what -15 represents in integers?</h3>
The number is given as:
Number = -15
Integers are numbers that do not have decimal points
The categories of integers are:
- Positive integers (i.e. numbers greater than 0)
- Zero
- Negative integers (i.e. numbers less than 0)
The given number -15 is less than 0
Hence, the number -15 represents in a negative integer
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Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,
Where, l is length and w is width.
Substituting the values, we get
Subtract 20 from both sides.
Divide both sides by
So, the length is
Therefore, the length of the rectangle is 13 cm.
57.10
70.9
these are only the answers for the first two problems
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
