So to help with the first one
2 / x = 5
multiply the x on both sides
2 = 5x
divide by 5 to isolate the x
2/5 = x
For the second one
We will use the diamond to help us find the common factor
\ 1 /
\ /
\ /
2 / \ 4
/ 3 \
/ \
1) the product
2) and 4) the two numbers
and 3) is sum
10 is the product and -7 is the sum
so what two numbers (factors of 10)
will equal -7 when added
so we have these numbers that will equal the product of +10 and we will need to find the ones that will equal -7 as the sum
10*1, 2*5, -1*-10, -2*-5
if we add the two numbers we will find respectively
11, 7, -11, -7
As you can see that -2 + -5 = +10 and -2+-5= +10
So we have found the two numbers
now before we factor the expression looks like
( x + a) (x + b)
and when factored looks like
x^2 + (a+b)x + (a*b)
Now we can plug in the numbers and solve to see if -2 and -5 are right
(x + -2) (x + -5)
we will factor it
x^2 +-5x + -2x + 10
x^2 + -7x + 10
so a = -2 and b = -5
Hope this helps :)
*Note: this is actually an example of what you would call scientific notation.
To solve this, let's apply this method to a simpler method. When you multiply 13 by 10, you get 130 right? And when you multiply 13 by 10 to the power of 2, you get 1300 right? The exponent is the amount of zeroes you add after the factor. If the exponent is negative, you simply subtract the amount of zeroes. If there are no zeroes at the end, then you move the decimal however many times to the left.
Therefore, 1.08 x 10 to the power of negative 3 would be 0.00108. The decimal was moved 3 places to the left. Hope this helps!
Answer:
B
Step-by-step explanation:
> = greater than
= this means equal to
< = less than
Answer:
R- (-10, -3)
S- (-10, -6)
Q- (-5, -3)
P- (-5, -6)
Step-by-step explanation:
Well, Q and P would be the exact same coordinates since that land directly on the reflection line.
Basically, on this graph/question you can count how far away the vertices is from the reflection line.
For example, Point R is 5 units away from the reflection line, therefore I need to count over 5 times to the left from the reflection line for point R. (Idk if that makes sense or not, ask questions if you are confused).
