Shift of 6 units right, reflects over x-axis
Answer:
x = 8
Step-by-step explanation:
Part a: <1 and <2 are alternate exterior angles because line horizontal lines are parallel
Part b: the value of x can be calculated with the following equation
7x + 15 = 10x - 9 because alternate angles has same measure
15 + 9 = 10x - 7x
24 = 3x divide both sides by 3
8 = x
Answer:
Step-by-step explanation:
the general equation of a line is y=mx+c
because the slop is 1/5, the equation of this line would be
with the coordinates (20,5) , take 20=x and 5=y
and substitute these values into the equation above.
you should get:
5= 4 + c
so c = 1
therefore, the equation of the line is:
0.27 per ounce for regular
And
0.26 per ounce for family
Answer:
Step-by-step explanation:
We are factoring
So:
((2•5^2x^2) + 485x) - 150
Pull like factors :
50x^2 + 485x - 150 = 5 • (10x^2 + 97x - 30)
Factor
10x^2 + 97x - 30
Step-1: Multiply the coefficient of the first term by the constant 10 • -30 = -300
Step-2: Find two factors of -300 whose sum equals the coefficient of the middle term, which is 97.
-300 + 1 = -299
-150 + 2 = -148
-100 + 3 = -97
-75 + 4 = -71
-60 + 5 = -55
-50 + 6 = -44
-30 + 10 = -20
-25 + 12 = -13
-20 + 15 = -5
-15 + 20 = 5
-12 + 25 = 13
-10 + 30 = 20
-6 + 50 = 44
-5 + 60 = 55
-4 + 75 = 71
-3 + 100 = 97
Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 100
10x^2 - 3x + 100x - 30
Step-4: Add up the first 2 terms, pulling out like factors:
x • (10x-3)
Add up the last 2 terms, pulling out common factors:
10 • (10x-3)
Step-5: Add up the four terms of step 4:
(x+10) • (10x-3)
Which is the desired factorization
Thus your answer is