The answer is D because there is one of the 0 and one of the 9
Answer:
A) 4
Step-by-step explanation:
There are a couple of ways to get this but this is how I did it:
1. Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation
1/4 x + 1/8 y = 2
1/4 (1/3 x + 1/2 y = 4)
1/12 x + 1/8 y = 1
2. Subtract the first equation from the new equation
1/12 x + 1/8 y = 1
<u> - 1/4 x - 1/8 y = -2</u>
-1/6 x= -1
3. Divide both sides by -1/6
<u>-1/6</u> x= <u>-1</u>
-1/6 -1/6
x = 6
4. Substitute 4 in for x in the original equation:
1/4 (6) + 1/8y = 2
6/4 + 1/8y = 2
1/8y = 1/2
y = 4
Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
Answer:
An odd number of factors were negative
Step-by-step explanation:
EXAMPLE: -3 × 4 × 8 × 2 = -192 then -192 ÷ -2 = 96
Answer:
I(7) = 22.96 W/m²
Step-by-step explanation:
Let intensity of light, be I(d) where d is distance. There must be a proportionality factor K such as
I(d) = K /d²
Now for d = 5 m I(d) = K* 1/d²
then 45 * 25 = K
K = 1125
To find the intensity when the distance from the light bulb is 7 m away
I(7) = K / 49
I(7) = 1125/49 W/m²
I(7) = 22.96 W/m²
