Answer:
y = -4/3x +4
Step-by-step explanation:
6y + 8x = 24
Subtract 8x from each side
6y + 8x-8x = -8x+24
6y = -8x+24
Divide each side by 6
6y/6 = -8x/6 +24/6
y = -4/3x +4
Answer:
f(x)=-2x+1
Step-by-step explanation:
Once points are plotted, you can use the rise/run method to find the slope which is 2/1=2. Then you can determine that its a negative function since the y values decrease as x increases. Lastly, since the y-intercept is a 1, you can fill in the blanks for the basic y=mx+b equation.
Answer:
A = 19.1°
B = 95.5°
C = 65.4°
Step-by-step explanation:
B = 5A
C = 4A-11
We know that a triangle has a total of 180° so:
180 = A + B + C
Which can be written as:
180 = A + (5A) + (4A - 11)
180 = 10A - 11
10A = 191
A = 19.1°
With A, we can work out B and C:
B = 5(19.1)
B = 95.5°
C = 4(19.1) - 11
C = 76.4 - 11
C = 65.4°
Answer:
1π
Step-by-step explanation:
suppose the radius of semicircle P is r,
then the radius of semicircle Q = (r+d)/2 ... d≤r
radius of semicircle R = (r-d)/2
area P = 1/2 (r)²π
area Q = 1/2 ((r+d)/2)² π = 1/8 (r² + 2rd + d²)π
area R = 1/2 ((r-d)/2)² π = 1/8 (r² - 2rd + d²)π
shaded area = P-Q-R = 1/2 r²π - 1/4 (r² + d²)π
= ((r² - d²)/4) * π
because there is no constant r value in the question and d value changes with the r change, when the vertical segment length equal the semicircle P radius (r), r=2 and d = 0
therefore the shaded area = ((2² -0²)/4)*π = 1π
Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.
- 1.74/0.25 = 6.96
- The most quarters that can fit into $1.74 is 6.
---Multiply $0.25 by 6 = $1.50
---Subtract $1.50 from $1.74 = $0.24
---We need to use the rest of the coins to fill up $0.24.
Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.
- 0.24/0.10 = 2.4
- The most dimes that can fit into $0.24 is 2.
---Multiply $0.10 by 2 = $0.20
---Subtract $0.20 from $0.24 = $0.04
No nickels can fit into $0.04, because they are worth $0.05.
We can use our least amount (pennies) to fill in the $0.04 remaining.
Your answer is 6 quarters, 2 dimes, and 4 pennies.