Z^2 - 2z - 35 = 0
(z - 7)(z + 5) = 0
z - 7 = 0
z = 7
z + 5 = 0
z = -5
solution is : z = 7,-5
Answer:
2x60, 4x30
Step-by-step explanation:
Given that the glee club has 120 cupcakes to sell.
These 120 cupcakes are to be arranged in a rectangle shape such that
there are even number of cakes lengthwise and even number of cakes breadthwise.
If l is the number of cakes along row, and m is the number of cakes along column, then we have both l and m as even.
Also lm=120
In other words, we must find 2 even factors of 120 l and m such that lm = 120
2x60 is one such pair
Next is 4x30.
There cannot be any other pair satisfying this condition.
Hence answer is 2x60 or 4x30
Answer:
B.405 cm2
Step-by-step explanation:
12 times 15 is 315. The area of the rectangle is 315.
The area of the triangle is 90.
Add them and i got 405.
In order to answer this, we must factor x3-8x2-x+8=0
We can make 2 pairs of 2 terms in order to make the factoring easier,
(x3-8x2)+(-x+8)=0
Now we can begin to factor each pair of terms one at a time,
x2(x-8)-(x-8)=0
We can see that we have 2 (x-8)s so that is our common and we have x2-1 (we can't see the 1 because anything times 1 equals itself so we don't need to put it there).
(x2-1)(x-8)=0
Expand,
(x+1)(x-1)(x-8)=0
In order for 0=0, we must find values of x that will make 0=0
When x=1
(1+1)(1-1)(1-8)=0
2 x 0 x -7=0
0=0
When x=8
(8+1)(8-1)(8-8)=0
9 x 7 x 0=0
0=0
When x=-1
(-1+1)(-1-1)(-1-8)=0
0 x -2 x -9=0
0=0
Therefore, the answer is x=8,1,-1 or (8,1,-1)
Answer: 360,000
Reason:
Think of 360 as 360.0
We move the decimal point 3 spots to the right to get to 360,000.0 or simply 360,000; this movement of 3 to the right is directly because of the exponent over the 10.
The 10^3 represents "thousand", so "360 x 10^3" is "360 thousand" = 360,000.