Answer:
Please find attached pdf
Step-by-step explanation:
Answer:
<h2>-8</h2>
Step-by-step explanation:
Method 1:
The slope-intercept of an equation of a line:

m - slope
b - y-intercept
We have the equation of a line in the point-slope form:

Convert it the the slope-intercept formula:
<em>use the distributive property</em>
<em>add 4 to both sides</em>

Method 2:
The y-intercept is for x = 0. Put x = 0 to the equation:


<em>add 4 to both sides</em>

Answer:
Option B. is the answer.
Step-by-step explanation:
The given question is incomplete without the attachment; here is the attachment enclosed with the answer.
Since coordinates of the point representing rock is (3, 2) and coordinates of the tree are (16, 21) and treasure divides the line joining rock and tree in the ratio of 5:9.
We know the formula to get the coordinates of point P(x, y) joining (a, b) and (c, d) in the ratio of m : n is
P(x, y) = ![[\frac{(mc+na)}{m+n}, \frac{(md+nb)}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28mc%2Bna%29%7D%7Bm%2Bn%7D%2C%20%5Cfrac%7B%28md%2Bnb%29%7D%7Bm%2Bn%7D%5D)
From the given formula,
Coordinates of treasure P = ![[\frac{((5\times 16)+(9\times 3)}{(5+9)}, \frac{(5\times 21)+(9\times 2)}{(5+9)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28%285%5Ctimes%2016%29%2B%289%5Ctimes%203%29%7D%7B%285%2B9%29%7D%2C%20%5Cfrac%7B%285%5Ctimes%2021%29%2B%289%5Ctimes%202%29%7D%7B%285%2B9%29%7D%5D)
= ![[\frac{(80)+(27)}{(14)}, \frac{(105)+(18)}{(14)}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%2880%29%2B%2827%29%7D%7B%2814%29%7D%2C%20%5Cfrac%7B%28105%29%2B%2818%29%7D%7B%2814%29%7D%5D)
= ![[7.64, 8.78]](https://tex.z-dn.net/?f=%5B7.64%2C%208.78%5D)
≈ (7.6, 8.8)
Therefore, Option B will be the answer.
Answer:
3.14km^2
Step-by-step explanation:
area of circle= πr^2
=3.14×1^2
=3.14km^2
Answer:
449/20 or 22 9/20
Step-by-step explanation:
Change them to mixed numbers.
55 x 5 = 275 + 1 = 276
32 x 4 = 128 + 3 = 131
Then, convert them to a common denominator.
276 x 4 = 1104
131 x 5 = 655
1104 - 655 = 449
449/20