Answer:
y = -1/4x+1
Step-by-step explanation:
First we need to find the slope of the line pictured
(1,4) and (0,0)
m = (y2-y1)/(x2-x1)
= (0-4)/(0-1)
= -4/-1
=4
The perpendicular line has a slope that is the negative reciprocal
-1 /(4)
-1/4
We have a point and a line
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +b
-1 = -1/4(8) +b
-1 = -2+b
Add 2 to each side
b = 1
y = -1/4x+1
Answer:
a. 14
b. 28
Step-by-step explanation:
a. ex: (6+3)2 - 4 = 9(2) - 4
18 - 4 = <u>14</u>
b. ex: 23 + (14 - 4) / 2
Use PEMDAS
P 1st
10
D over A
5
A
<u>28</u>
<em><u>Hope this helps!</u></em>
9514 1404 393
Answer:
$110.52
Step-by-step explanation:
The formula for the amount resulting from continuous compounding is ...
A = P·e^(rt) . . . . . principal P compounded continuously at annual rate r for t years
Using your values, we have ...
A = 100·e^(0.05·2) = 100e^0.1 = 110.52
The resulting amount is $110.52.
Step-by-step explanation:
A term is a number, a variable, or a constant multiplied by a variable or variables.
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different.
A coefficient is a multiplicative factor in some term of a polynomial (expression).
Constant is a term in the algebraic expression that contain only number.
n + 5n = n + 5n + 0
terms: n, 5n
like terms: n, 5n
coefficients: 1, 5
constant: 0
simplified form: n + 5n = 6n
term: 6n
coefficient: 6
constant: 0
=======================
12c - c = 12c - c + 0
terms: 12c, -c
like terms: 12c, -c
coefficients: 12, -1
constant: 0
simplified form: 12c - c = 11c
term: 11c
coefficient: 11
constant: 0
========================
-4j - 1 - 4j + 6
terms: -4j, -1, -4j, 6
like terms: -4j, -4j and -1, 6
coefficients: -4, -4
constants: -1, 6
simplified form: -4j - 1 - 4j + 6 = (-4j - 4j) + (-1 + 6) = -8j + 5
term: -8j, 5
coefficient: -8
constant: 5
