Answer:
A figure or shape that can be divided into more than one of the basic figures, which is said to be a composite figure.
To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
Answer 6 hours
Reason
7x + 9.50 = 55
-9.50. -9.50 subtract from both sides
_____________
7x = 45.50
Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)
Answer:
x = 11
Step-by-step explanation:
A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.
The circumference is equidistant from the vertices of the triangle:
Equidistant = At equal distances.
The vertices in the picture are: A, B, C
The circumcenter is: P
So, we can apply the rule: PA = PB = PC
PA = 38
PB = 6x - 28
PC = ?
And since the picture labels PA and PB, we set up the equation:
PA = PB = PC
38 = 6x - 28
Add 28 to both sides
38 + 28 = 6x - 28 + 28
66 = 6x
Divide 6 on both sides
66/6 = 6x/6
Simplify
11 = x
Flip the equation
x = 11