Answer:
28
Step-by-step explanation:
It is 8 combination 4- using a TI 84, type in 8, then hit math- over to probability then nCr- then 6
Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)
⇒ m = (-1 - 3)/(5 - 0) = -4/5
- Step 2: Find the y-intercept
y-intercept is the point where the line intersects the y-axis.
Here, the y-intercept, b = 3
- Step 3: Write the equation of the line in slope-intercept form
y = mx + b ⇒ y = -4/5 x + 3
- Step 4: Find the x-intercept using the equation.
x-intercept is the point where the line intersects the x-axis. Then y = 0
⇒ 0 = -4/5 × x + 3
⇒ -4/5 × x = -3
⇒4x = 15
∴ x = 15/4
Answer:
A
Step-by-step explanation:
Take the (-2,9) and put it in the first equation so it will be 9=1/2(-2)+10 then multiply to get 9=-1+10 then -1+10=9 so 9=9
Answer:
The total resistance of these three resistors connected in parallel is
Step-by-step explanation:
The attached image has the circuit for finding the total resistance. The circuit is composed by a voltage source and three resistors connected in parallel: , and .
<u>First step: to find the source current</u>
The current that the source provides is the sum of the current that each resistor consumes. Keep in mind that the voltage is the same for the three resistors (, and ).
The total current is:
The total resistance () is the source voltage divided by the source current:
Now, replace by the previous expression and the total resistance would be:
Simplify the expression and you must get:
The last step is to replace the values of the resistors:
Thus, the total resistance of these three resistors connected in parallel is