Answer:
y-4=-7(x-1) OR y-(-10)=-7(x-3)
Step-by-step explanation: The point-slope form is 
-
=
(
-
)
In slope-intercept form, the equation would be y = -7x + 11
You could find the slope by using the slope equation, 
.
Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The polynomial is simplified by combining like terms. Like terms are identified more easily if the variables in each term are written in the same order. We usually like to use alphabetical order. Two of the like terms have opposite coefficients, so they cancel. The result is ...
(3 1/2 -2 1/2)xy² +(-2 4/5 +2 4/5)x²y
= xy² . . . . simplified expression
__
For x = 1, y = -2, the value of the expression is ...
(1)(-2)² = 4
X= 1 .........................
Will got 12 and John got 24.
You would set the equation as:
36=n+2n
Combine like terms
36=3n
Divide 3 from both sides
12=n
If you want to check it
12+2(12)=36
12+24=36
36=36
