Answer:
y - 5 = 1/3(x - 0)
Step-by-step explanation:
the formula for point-slope form is y2 - y1 = m(x2 - x1), where m is the slope, y1 is the y coordinate and x1 is the x coordinate
so just plug in the values into the equation:
y - 5 = 1/3(x - 0)
if you want it in slope-intercept form, the formula is: y = mx+b, where mx is the slope and b is the y intercept. it would look like the following:
y = 1/3x + 5
B: 140 fruit slices 70 minus 35 equals 35 right? Add 70 to 35, and that's 105 which is in the table. 105+35=140
Hope it helps
The number of cookies and trays are illustrations of greatest common factors.
- The number of trays is 8
- 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
The given parameters are:
![\mathbf{Chocolate\ chip=48}](https://tex.z-dn.net/?f=%5Cmathbf%7BChocolate%5C%20chip%3D48%7D)
![\mathbf{Rainbow=64}](https://tex.z-dn.net/?f=%5Cmathbf%7BRainbow%3D64%7D)
![\mathbf{Oatmeal=120}](https://tex.z-dn.net/?f=%5Cmathbf%7BOatmeal%3D120%7D)
<u>(a) The number of trays</u>
To do this, we simply calculate the greatest common factor of 48, 64 and 120
Factorize the numbers, as follows:
![\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}](https://tex.z-dn.net/?f=%5Cmathbf%7B48%20%3D%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%203%7D)
![\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}](https://tex.z-dn.net/?f=%5Cmathbf%7B64%20%3D%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%7D)
![\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}](https://tex.z-dn.net/?f=%5Cmathbf%7B120%20%3D%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%203%20%5Ctimes%205%7D)
So, the GCF is:
![\mathbf{GCF= 2 \times 2 \times 2}](https://tex.z-dn.net/?f=%5Cmathbf%7BGCF%3D%202%20%5Ctimes%202%20%5Ctimes%202%7D)
![\mathbf{GCF= 8}](https://tex.z-dn.net/?f=%5Cmathbf%7BGCF%3D%208%7D)
Hence, the number of tray is 8
<u>(b) The number of each type of cookie</u>
We have
![\mathbf{Chocolate\ chip=48}](https://tex.z-dn.net/?f=%5Cmathbf%7BChocolate%5C%20chip%3D48%7D)
![\mathbf{Rainbow=64}](https://tex.z-dn.net/?f=%5Cmathbf%7BRainbow%3D64%7D)
![\mathbf{Oatmeal=120}](https://tex.z-dn.net/?f=%5Cmathbf%7BOatmeal%3D120%7D)
Divide each cookie by the number of trays
So, we have:
![\mathbf{Chocolate\ chip = \frac{48}{8} = 6}](https://tex.z-dn.net/?f=%5Cmathbf%7BChocolate%5C%20chip%20%3D%20%5Cfrac%7B48%7D%7B8%7D%20%3D%206%7D)
![\mathbf{Rainbow = \frac{64}{8} = 8}](https://tex.z-dn.net/?f=%5Cmathbf%7BRainbow%20%3D%20%5Cfrac%7B64%7D%7B8%7D%20%3D%208%7D)
![\mathbf{Oatmeal = \frac{150}{8} = 15}](https://tex.z-dn.net/?f=%5Cmathbf%7BOatmeal%20%3D%20%5Cfrac%7B150%7D%7B8%7D%20%3D%2015%7D)
Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
Read more about greatest common factors at:
brainly.com/question/11221202
Answer:
Take the square root of the constant (number w/o the variable) and then multiply that by 2.
Step-by-step explanation:
A perfect square trinomial is something like this:
If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.
SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...
1) Take the square root of the constant...
2) Multiply that by 2
See it up on brainly it should give you your answer that you need!!