Acute/scalene triangle because there are no equal sides or angles
-16 i think is the correct anwser because you take the old number then subtract the new number then divide the old one then multiply by 100
Answer:
Step-by-step explanation:
Let a = original amt in the savings account
"He spent $48 on a radio and 3/8 of what was left on presents for his friends."
Therefore he kept 5/8 of what was left
5/8(a - 48)
5/8(a - 30) left
:
John then put 2/3 of his remaining money into a checking account and donated the $100 that was left to charity.
a = 2/3(5/8a - 30) + 100
a = 5/12a - 20 + 100
a = 5/12a + 80
a - 5/12a = 80
7/12a = 80
a = $137.17 originally in his saving acct
The answer is 1/2. You have to use the union formula, P of A+ P of B- P of A intersect B.
Answer:
(1) Required function is
. (2) Slope of line is
.
Step-by-step explanation:
1)
The function passing through (-3,9), (-1,3), (0,0) and (3,-9).
From these points it is noticed that the value of function decrease by 6 if the value of x increases by 2 and y-intercept is (0,0).
![m=\frac{\text{change in y}}{\text{change in x}}=\frac{-6}{2}=-3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B%5Ctext%7Bchange%20in%20y%7D%7D%7B%5Ctext%7Bchange%20in%20x%7D%7D%3D%5Cfrac%7B-6%7D%7B2%7D%3D-3)
Slope intercept of a line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where, m is slope and b is y-intercept.
So, function is defined as
![y=-3x+0](https://tex.z-dn.net/?f=y%3D-3x%2B0)
![y=-3x](https://tex.z-dn.net/?f=y%3D-3x)
The required function is
.
2)
It is given that the line joining two points (10, 9) and (40, 3).
Slope of line is
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{3-9}{40-10}=\frac{-6}{30}=-\frac{1}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-9%7D%7B40-10%7D%3D%5Cfrac%7B-6%7D%7B30%7D%3D-%5Cfrac%7B1%7D%7B5%7D)
Therefore slope of line is
.