The equation of a line which has the slope m and passes through the point A(x1,y1) has the formula:
y-y1=m(x-x1)
in your case m= -5 ; A(x1;y1)=(1;-1)
y-(-1)= -5(x-1)
y+1= -5(x-1)
answer is c
<u>Answer:</u>
- Slope = 27/11
- AB = 29.15 u
<u>Step-by-step explanation:</u>
<u>Given :- </u>
- Two points are given to us .
- The points are A(7,15) and B(18,42)
<u>To Find</u> :-
- The slope of the line .
- The length of line AB .
We can find the slope of the line passing through the points
and
as ,
- Plug in the respective values ,
<u>Hence the slope of the line is 27/11 .</u>
<u>Finding the length of AB :-</u>
- We can find the distance between them by using the Distance Formula .
<u>Hence the length of AB is 29.15 units .</u>
Answer:
x = 2 yd
Step-by-step explanation:
Angles of 45 degreees = two congruent legs
for the Pythagorean theorem
2x^2 = 8
x^2 = 4
x = 2
Answer:
(c) III
Step-by-step explanation:
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
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<h3>I. </h3>
2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)
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<h3>II.</h3>
x +2 = 15x +10 +2x . . . . eliminate parentheses
x +2 = 17x +10 . . . . one solution (x=-1/2)
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<h3>III.</h3>
4 +6x = 6x +4 . . . . eliminate parentheses
6x +4 = 6x +4 . . . . infinite solutions
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<h3>IV.</h3>
6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)