Answer <u>(assuming it is allowed to be in point-slope format)</u>:
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, 
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since 
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be 
.
2) Now, use the point-slope formula, 
to write the new equation with the given information. Substitute 
, 
, and 
for real values.
The represents the slope, so substitute in its place. The and represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for and 4 for . This gives the following equation and answer:
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…
Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…
Step-by-step explanation:
Answer:
A cow is a consumer because it Can not produce it's own food.
Step-by-step explanation:
Hope this helps!
1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2
Pull out from each group separately :
Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)
Looking for common sub-expressions :
Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
