Given:
Consider the graph passes through the point (5, −2) and has a slope of
.
To find:
The equation of graph in standard form.
Solution:
Point slope form of a line is
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
where, m is slope and
is the point lies on the line.
Slope is
and graph passes through (5,-2), so the equation of line is
![y-(-2)=\dfrac{7}{2}(x-5)](https://tex.z-dn.net/?f=y-%28-2%29%3D%5Cdfrac%7B7%7D%7B2%7D%28x-5%29)
![y+2=\dfrac{7}{2}(x-5)](https://tex.z-dn.net/?f=y%2B2%3D%5Cdfrac%7B7%7D%7B2%7D%28x-5%29)
Multiply both sides by 2.
![2(y+2)=7(x-5)](https://tex.z-dn.net/?f=2%28y%2B2%29%3D7%28x-5%29)
![2y+4=7x-35](https://tex.z-dn.net/?f=2y%2B4%3D7x-35)
![4+35=7x-2y](https://tex.z-dn.net/?f=4%2B35%3D7x-2y)
![39=7x-2y](https://tex.z-dn.net/?f=39%3D7x-2y)
The required equation is
.
Therefore, the correct option is B.
Answer:
25;41;8;21
Step-by-step explanation:
a) 48=d+23
48-23=d
d=25
b) W-13=28
28+13=W
W=41
c) 9x=72
72/9=x
x=8
d) 84=4n
n=84/4
n=21
Answer:
![\frac{2}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B15%7D)
Step-by-step explanation:
GIVEN: A bag contain
red marbles,
green marbles and
blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.
TO FIND: What is the probability both marbles are green.
SOLUTION:
Total marbles in bag ![=10](https://tex.z-dn.net/?f=%3D10)
total number of green marbles ![=4](https://tex.z-dn.net/?f=%3D4)
Probability that first marble will be green ![P(A)=\frac{\text{total green marbles}}{\text{total marbles}}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7B%5Ctext%7Btotal%20green%20marbles%7D%7D%7B%5Ctext%7Btotal%20marbles%7D%7D)
![=\frac{4}{10}=\frac{2}{5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%7D%7B10%7D%3D%5Cfrac%7B2%7D%7B5%7D)
Probability that second marble will be green ![P(B)=\frac{\text{total green marble in bag}}{\text{total marble in bag}}](https://tex.z-dn.net/?f=P%28B%29%3D%5Cfrac%7B%5Ctext%7Btotal%20green%20marble%20in%20bag%7D%7D%7B%5Ctext%7Btotal%20marble%20in%20bag%7D%7D)
![\frac{3}{9}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B9%7D%3D%5Cfrac%7B1%7D%7B3%7D)
As both events are disjoint
probability both marbles are green ![=P(A)\times P(B)](https://tex.z-dn.net/?f=%3DP%28A%29%5Ctimes%20P%28B%29)
![=\frac{2}{5}\times\frac{1}{3}=\frac{2}{15}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B5%7D%5Ctimes%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B15%7D)
Hence the probability both marbles are green is ![\frac{2}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B15%7D)
The answer i got was 31.4.... if that’s wrong i’m so sorry.