Answer:
y = 1/2x + 1
Step-by-step explanation:
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
"for each hour that she works over 40hrs in a week" key words "for each hour" in that section of the sentence. so we take 489.85 divide that by 9.7 = 50 and then we divide 489.85 by 5 so that we can get 1/5 of 50, then we take 9.7 times 1.5 = 14.55 and divide that by 97.97
489.85/5 = 97.97/14.55 = 6.73 + 40hrs = 46.73hrs
Not sure why it's a decimal.. but I'm 100% sure that's how you solve it
Answer: The area of one sector is 22.6 sq. mm.
Step-by-step explanation: Given that a circle with radius 12 mm divided into 20 sectors of equal area.
We are to find the area of one sector to the nearest tenth.
The AREA of a circle with radius 'r' units is given by
Here, the radius of the circle is
r = 12 mm.
Therefore, the area of the circle will be
Since the whole circle is divided into 20 equal sectors.
So, the area of one sector is
Thus, the area of one sector is 22.6 sq. mm.
