So,...
the slope intercept form is y = mx+b
the m is the slope, and the b is the coordinate that intercepts the y-axis
so to start you off, 4x - 9y = 2
4x - 9y = 2
-4x - 4y
-9y = -4y +2
divide both sides by -9
<u>-9y </u>= <u>-4y + 2</u>
-9 -9
y = 4/9 x - 2/9
Marcos has 6 nickels and 9 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
<em><u>Marcos had 15 coins in nickels and quarters</u></em>
Therefore, we can say,
number of nickels + number of quarters = 15
n + q = 15 -------- eqn 1
<em><u>He has three more quarters than nickels</u></em>
Number of quarters = 3 + number of nickels
q = 3 + n -------- eqn 2
Eqn 1 and eqn 2 represents the system of equations
<em><u>Substitute eqn 2 in eqn 1</u></em>
n + 3 + n = 15
2n + 3 = 15
2n = 15 - 3
2n = 12
<h3>n = 6</h3>
<em><u>Substitute n = 6 in eqn 2</u></em>
q = 3 + 6
<h3>q = 9</h3>
Thus Marcos has 6 nickels and 9 quarters
Answer:
Step-by-step explanation:
Ok so the beaker is 200 water:800 acid
So she drains 100 from the acid and 100 from the water which equals
100:700
Then she adds 200 water:
300:700
there is 300 mL water in da beaker now
i might got it wrong tho
Answer:
the slope is 54
Step-by-step explanation:
Answer:
We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.
Step-by-step explanation:
The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).