Answer:
17.03 units
Step-by-step explanation:
The distance formula for the distance between two points (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
For the given points, the distance is ...
d = √((8-(-3))^2 +(-6-7)^2) = √(11^2 +(-13)^2)
d = √(121 +169) = √290
d ≈ 17.03
The distance between the points is about 17.03 units.
<u>ANSWER</u>
(C) y
<u>EXPLANATION</u>
We have two equations:
The first one is
The second equation is
Let us make z the subject of this second equation:
We now add equation (1) and (3) to get:
We simplify to get:
Divide throu by 2.
The correct answer is C
Answer:
5 + 5y
Step-by-step explanation:
2 + y + y + y + y + y + 3
Combine like terms
2+3 + y + y + y + y + y
5 + 5y
Answer:
True for all x.
Step-by-step explanation:
1. Expand 1/3(6-9x)
2-3x
2. Expand -1/5(15x-10)
-3x+2
3. Subtract 2 from both sides.
2-3x-2 = -3x+2-2
4. Simplify.
-3x = -3x
5. Add 3x to both sides.
-3x + -3x = -3x + -3x
6. Simplify.
0=0
Both sides are equal, so it is true for all x.
Answer:
x = 50
Step-by-step explanation:
The marked angles are vertical angles, so are congruent.
3x -3 = 147 . . . . congruent angles have equal measures
x -1 = 49 . . . . . divide by3
x = 50 . . . . . . add 1
