Answer:
5 cm
Step-by-step explanation:
![Perimeter of semicircle = \frac{1}{2} \times 2\pi \: x +2x\\ 25.71 = 3.14 2\times x+ 2x\\ 25.71 = 5.14 2 x\\ x = \frac{25.71}{5.142} \\ x = 5 \: cm](https://tex.z-dn.net/?f=Perimeter%20of%20semicircle%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%202%5Cpi%20%5C%3A%20x%20%2B2x%5C%5C%2025.71%20%3D%203.14%202%5Ctimes%20x%2B%202x%5C%5C%2025.71%20%3D%205.14%202%20x%5C%5C%20x%20%3D%20%20%5Cfrac%7B25.71%7D%7B5.142%7D%20%20%5C%5C%20x%20%3D%205%20%20%5C%3A%20cm)
Answer:
y=−2(x−)x+8
i believe this is it im not sure since ^2
Answer:
8
Step-by-step explanation:
Answer: 8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3
Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
Answer:
a) ![y=-\frac{1}{9}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx)
b)![y-2=-\frac{1}{3} (x-1)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%20%28x-1%29)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
a)
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-0=-\frac{1}{9} (x-0)](https://tex.z-dn.net/?f=y-0%3D-%5Cfrac%7B1%7D%7B9%7D%20%28x-0%29)
This simplifies to:
![y=-\frac{1}{9}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B9%7Dx)
b) The equation y=3x+4 follows y=mx+b. For the perpendicular line,
. We will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-2=-\frac{1}{3} (x-1)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%20%28x-1%29)