Answer:
D. (-3;-3)
Step-by-step explanation:
2x-3y<9
A. 2×6-3×(-4)=24 FALSE, because 24>9
B. 2×(-1)-3×(-9)=25 FALSE, because 25>9
C. 2×2-3×(-5)=11 FALSE, because 11>9
D. 2×(-3)-3×(-3)=9 TRUE, because 3<9
Answer:
y = x + 15
Step-by-step explanation:
okay so you're gonna use the y2-y1/x2-x1 formula to find the slope (m)
24 - 19/9 - 4 = 5/5 = 1
so that is your slope (m)
and now if you follow your slope then you should get your y-intercept (b)
4 - 1 = 3 19 - 1 = 18
(3, 18)
3 - 1 = 2 18 - 1 = 17
(2, 17)
2 - 1 = 1 17 - 1 = 16
(1, 16)
1 - 1 = 0 16 - 1 = 15
(0, 15)
so thats your y-intercept (b)
and the equation will look like:
y = mx + b y = x + 15 or y = 1x + 15 (but the 1 isn't necessary)
Answer:
60%
Step-by-step explanation:
The first step is to divide 27 by 45 to get the answer in decimal form:
27 / 45 = 0.6000
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.6000 * 100 = 60.00%
sin(2Θ) = 2cosΘsinΘ
sinΘ=opposite/hypotenuse=8/17
adjacent = (17^2 - 8^2)^1/2 =15
sin(2Θ) = 2cosΘsinΘ = 2 *(15/17)*(8/17)= 240/289
opposite of 2Θ equals 240
hypotenuse of 2Θ equals 289
adjacent of 2Θ = (289^2 - 240^2)^1/2 = 161
cos(2Θ) = 161/289
tan(2Θ) = 240/161
Answer:
she used square unit instead of cubic units
in calculating the volume of the pyramid she didn't multiply by 1/3
she subtracted the pyramid volume instead of adding it