9514 1404 393
Answer:
y -1 = -1(x -2)
Step-by-step explanation:
The slope of the line through the two points can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(-2 -2) = 4/-4 = -1
The point-slope equation for a line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...
y -1 = -1(x -2)
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<em>Additional comment</em>
Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.
Answer:
B) supplementary angles
C) straight angle
Step-by-step explanation:
There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.
There are no angles that are 90 degrees so its not complementary or a right angle.
Answer is D... the -3 outside the absolute/parenthesis shifts is down
Answer:
2. 
3.
- definition of perpendicular
4.
- all right angles are congruent
6.
7.
Step-by-step explanation:
<u>Given: </u>Point P is the perpendicular bisector of AB
<u>Prove: </u>P is equidistant from the endpoints AB
<u>Proof.</u>
1. Point P is on the perpendicular bisector of AB - given
2.
- definition of bisector
3.
- definition of perpendicular
4.
- all right angles are congruent
5.
- reflexive property of congruence
6.
- SAS congruency postulate
7.
- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB - definition of equidistant
Let the four numbers be A,B,C,D in ascending order.
The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.
Given that the product of the two greatest numbers is 6, we have C*D=6, or
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3 ok.
So the numbers are
A=-9, B=-2, C=2, D=3.