Factor because if we have
yz=0 then we can assume y and/or z=0
so factor
so the easiest way is to find what 2 numbers add to -6 and multiply to get 9 so
we know that they must be both - because we must have x+x=(-) and x^2=+ so therefor they must be negative
factors of 9=3 and 3 so
-3 and -3
-3+-3=-6 perfect
(z-3)(z-3)=0
set each to zero
z-3=0
add 3
z=3
z=3 is the answer
Big/small=4/7
r1/r2=4/7 where r1, r2 are radius of a big and small circles respectively
r1/3=4/7
r1=12/7
circumference of a big circle is2πr1=2π*12/7=24π/7 cm
For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
y -y₁ = m(x -x₁)
You have m = -4 and (x₁, y₁) = (4, -9), so the equation of your line is
D. y+9 = -4(x-4)
The next term in this fraction sequence is 1/3.
To find the next term in this sequence, we can start by converting all of the fraction into a common denominator (so we can compare them better). The least common denominator for all of these number is 12. Now we can convert them all to something over 12.
To convert 2/3 to something over 12, we must find what form of one we must multiply 3 (the denominator) by to get 12. 12/3 is 4, so we must multiply by 4/4. This gives us 2/3 = 8/12.
Since 7/12 is already over twelve, we can just leave it alone.
To convert 1/2 to something over 12, we need to find what we have to multiply 2 by to get 12. 12/2 is 6, so now we need to multiply 1/2 by 6/6, which gives us 1/2 = 6/12.
5/12 is already over twelve, so we can just leave it alone.
Now we need to put them back in order. We have:
8/12, 7/12, 6/12, 5/12... Just by looking at them, we can see that the denominators are getting smaller by 1. That means that the next term in the sequence will be less than the previous one by 1/12. What term is less than 5/12 by 1/12? 4/12 is. But, that's not our answer. We can simplify 4/12 to get our answer of 1/3.
Answer:
x = 3
Step-by-step explanation:
You can see that 5x - 7 and 2x + 2 are equal to each other due to the arrows pointing to both angles. Therefore allowing you to set up the following equation..
5x - 7 = 2x = 2
Therefore you can then simplify for the value x where you should get teh value 3.
