slope intercept form
y=mx+b
where m is the slope and b is the y intercept
if we change from point slope form
y-y1 = m(x-x1)
we distribute
y-y1 = mx -x*x1
then add y1 to each side
y = mx -x*x1+y1
remember x and y are variables and should stay in the equation
m,x1,y1 are numbers from the problem
you may have to calculate the slope (m) from the formula
m = (y2-y1)/(x2-x1) from two points on the line
Answer:
x = 15
Step-by-step explanation:
We assume you want to find the value of x.
Know (or prove) that in this geometry, all of the right triangles are similar. That means the ratios of corresponding sides are proportional.
short side / hypotenuse = 9/x = x/25
x^2 = (9)(25) . . . . . . . . . . multiply by 25x ("cross multiply")
x = √((9)(25)) = (3)(5) . . . take the square root
x = 15
Answer:
a) 21,952
b) 3,375
c) 36
Step-by-step explanation:
a) 7 X 7 X 7 X 4 X 4 X 4
= 7cube X 4cube
= 343 X 64
= 21,952
b) 5 X 3 X 5 X 3 X 5 X 3( group it)
5 X 5 X 5 X 3 X 3 X 3
= 5cube X 3cube
= 125 X 27
= 3,375
c) 3 X 3 X 2 X 2
= 3square X 2square
= 9 X 4
= 36
We are given this inequality,
We will follow these steps to solve it:
Step 1:
First let us bring 10 to the left side.
10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get
Step 2:
Next we have to eliminate -4 which is in multiplication with x on the right side.
So applying opposite operation of multiplication that is dividing both sides by -4.
We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.
x≥4
Answer is last option x≥4.
