15.6 dollars s how much money Wendell spent
9514 1404 393
Answer:
Step-by-step explanation:
The direct proportion equation is ...
y = kx
where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...
y = -2x
For x=8, the value of y is ...
y = -2(8) = -16 . . . . . do the multiplication
For y = -20, the value of x is ...
-20 = -2x
10 = x . . . . . . . . . divide both sides by -2
Step-by-step explanation:
problem 1.
1. 6y = 30
2. y = 5
3. 3x + 2(5) = 16
4. 3x+10=16
5. 3x=6
6. x=2
solution: (2,5)
problem 2.
1. x=7
2. 4(2)-2y=18
3. 28-2y=18
4. -2y= -10
5. y=5
solution (7,5)
problem 3
10x=10
x=1
7(1) +y =-2
y=-9
(1,9)
problem 4
0= -6
no solution
problem 5
0=0
Infinite many
Answer:
The statement is true.
Step-by-step explanation:
Given the statement we have to tell the statement is true or false.
The statement is
"The circumcenter of a triangle is the center of the only circle that can be circumscribed about it"
The circumcenter of triangle is the point in the triangle where the perpendicular bisectors of sides intersect.
The center of the circumscribed circle is the the point where the perpendicular bisectors of the sides meet.
Hence,
The circumcenter is also center of the triangle's circumcircle - the circle that pass through all three of the triangle's vertices.
Therefore, the given statement is true.
You can use the Pythagorean Theorem. Which is a^2 + b^2 = c^2.
So now to plug in the equation.
In your case a is 8 and c is 34. So now we need to solve for b.
8 squared is equal to 64.
34 squared is equal to 1156.
Now to plug things in.
64 + b^2 = 1156
Now subtract 64 from 1156.
That equals 1092.
The equation is now
b^2 = 1092
Now do the square root of 1092.
But since the square root is an irrational number you can just write b = 1092 ( but put a square root with 1092)
