Answer:
3cm < Third side < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values of third side are
4cm, 5cm,6cm
Step-by-step explanation:
This question can be solved using given by Triangle Inequality Theorem Given below.
- Sum of two sides is always greater than value of third side
- Difference of two sides is always less than value of third side
Given two sides are 2cm, 5cm
Sum of two sides = (2+5)cm = 7 cm
Difference of two sides = (5-2) = 3 cm
Let the third side be X
thus according to Triangle Inequality Theorem
X < Sum of two sides of given triangle
X < 7cm -----1
X > Difference of two sides
X > 3cm ----1
combining expression 1 and 2 we have
3cm < X < 7cm
Thus third side can take any value between 3cm and 7 cm
(note: excluding 3 cm and 7 cm)
If the value are integral then possible values are
4c, 5cm,6c
Answer:
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:
![\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-8%20%3D%20-%5Cfrac%7B5%7D%7B6%7D%5B24%5D%20%2B%20b%20%5Chookrightarrow%20-8%20%3D%20-20%20%2B%20b%3B%2012%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7By%20%3D%20-%5Cfrac%7B5%7D%7B6%7Dx%20%2B%2012%7D)
To write this in Linear Standard Form, perfourm he following:
y = −⅚x + 12
+ ⅚x + ⅚x
___________
⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]
6[⅚x + y = 12]
I am joyous to assist you at any time.
Answer:
A function is a mathematical relationship in which the values of a single dependent variable are determined by the values of one or more independent variables. Function means the dependent variable is determined by the independent variable(s).
Step-by-step explanation:
Answer:
d. V = π(x^3 + 90x^2 + 2,400x + 20,000)
Step-by-step explanation:
volume of cylinder = πr^2h
We have r = x + 20; h = x + 50
V = π(x + 20)^2(x + 50)
V = π(x^2 + 40x + 400)(x + 50)
V = π(x^3 + 50x^2 + 40x^2 + 2000x + 400x + 20,000)
V = π(x^3 + 90x^2 + 2,400x + 20,000)
30 bats, 3*10 for every block/intersection he passes, hope this is helpful!
