Answer:
8/3mph
Step-by-step explanation:
you must multiply both fractions by the reciprocal of 3/10 which is 10/3
(4/5 * 10/3) / (3/10 * 10/3)
(40/15) / (30/30)
(8/3) / 1
8/3 /1 = 8/3
Answer:
Equation: (2x+5)4=(2x+8)3
X: 2
Perimeter: 36
Step-by-step explanation:
You would multiply 2x+5 and 4 because there are four sides to a square, so the perimeter of the square would be 8x+20. This would go same for the triangle, making the perimeter 6x+24.
So 8x+20=6x+24 is your new equation. Then, you do the opposite of the order of operations, and add or subtract first. It would be easiest to subtract 20 and 6x from both sides.
That leaves you with 2x=4. Dividing 2 by both sides means x=2
You can plug this in to prove if it is correct.
16+20=36
12+24=36
Lmk if you get it!
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
To complete the solution of - x - 8y = -1, we first need to substitute x for -15.
As so:
-(-15) - 8y = -1
15 - 8y = -1
Next, we can subtract 15 from each side to get:
15 - 15 - 8y = -1 - 15
- 8y = -16
Now, we can divide by -8 on each side to get the y by itself:
-8y / -8 = -16 / -8
y = -16 / -8
y = 2
There we go! <em>y</em> = 2 when x = -15! Hope I could help you out! Have a good one.
