Hi I’ll help you again:
Put these three points:
(-1 , 3)
(0 , 5.5)
(1 , 8)
That should do it!
Answer:
HB = 13
Step-by-step explanation:
In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.
Therefore by Mid-segment Theorem.
![AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}](https://tex.z-dn.net/?f=AC%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20HJ%20%5C%5C%20%20%5C%5C%203y%20-%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%284y%20%2B%202%29%20%5C%5C%20%20%5C%5C%20%203y%20-%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%202%20%282y%20%2B%201%29%20%5C%5C%20%20%5C%5C%20%203y%20-%205%20%3D%20%202y%20%2B%201%5C%5C%20%20%5C%5C%203y%20-%202y%20%3D%205%20%2B%201%20%5C%5C%20%20%5C%5C%20y%20%3D%206%20%5C%5C%20%20%5C%5C%20HJ%20%3D%204y%20%2B%202%20%20%5C%5C%20%20%5C%5C%20%20HJ%20%3D%204%20%5Ctimes%206%20%2B%202%20%20%5C%5C%20%20%5C%5C%20HJ%20%3D%2024%20%2B%202%20%20%5C%5C%20%20%5C%5C%20HJ%20%3D%2026%20%20%5C%5C%20%20%5C%5C%20HB%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20HJ%20%5C%5C%20%20%5C%5C%20HB%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5Ctimes%2026%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20HB%3D%2013%7D%7D)
Answer:
C. 6.736
Step-by-step explanation:
I took the test and got a 100%.
The answer is 15:25 but when simplified it is 3:5
Answer:
![Volume = 3.7\ * 10^2\ L](https://tex.z-dn.net/?f=Volume%20%3D%203.7%5C%20%2A%2010%5E2%5C%20L)
Step-by-step explanation:
Given
![Density = 0.001226 g/mL](https://tex.z-dn.net/?f=Density%20%3D%200.001226%20g%2FmL)
![Mass = 1.0\ lb](https://tex.z-dn.net/?f=Mass%20%3D%201.0%5C%20lb)
Required
Determine the volume of air
Density is calculated using:
![Density = \frac{Mass}{Volume}](https://tex.z-dn.net/?f=Density%20%3D%20%5Cfrac%7BMass%7D%7BVolume%7D)
Substitute values for Density and Mass
![0.001226 g/mL = \frac{1.0\ lb}{Volume}](https://tex.z-dn.net/?f=0.001226%20g%2FmL%20%3D%20%5Cfrac%7B1.0%5C%20lb%7D%7BVolume%7D)
Convert lb to grams
![0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}](https://tex.z-dn.net/?f=0.001226%20g%2FmL%20%3D%20%5Cfrac%7B1.0%20%2A%20453.592%5C%20g%7D%7BVolume%7D)
![0.001226 g/mL = \frac{453.592\ g}{Volume}](https://tex.z-dn.net/?f=0.001226%20g%2FmL%20%3D%20%5Cfrac%7B453.592%5C%20g%7D%7BVolume%7D)
Solve for Volume
![Volume = \frac{453.592\ g}{0.001226 g/mL}](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B453.592%5C%20g%7D%7B0.001226%20g%2FmL%7D)
![Volume = 369977.161501\ mL](https://tex.z-dn.net/?f=Volume%20%3D%20369977.161501%5C%20mL)
Convert mL to L
![Volume = 369977.161501\ L * 0.001](https://tex.z-dn.net/?f=Volume%20%3D%20369977.161501%5C%20L%20%2A%200.001)
![Volume = 369.977161501\ L](https://tex.z-dn.net/?f=Volume%20%3D%20369.977161501%5C%20L)
Represent using scientific notation
![Volume = 3.69977161501\ * 10^2\ L](https://tex.z-dn.net/?f=Volume%20%3D%203.69977161501%5C%20%2A%2010%5E2%5C%20L)
Approximate
![Volume = 3.7\ * 10^2\ L](https://tex.z-dn.net/?f=Volume%20%3D%203.7%5C%20%2A%2010%5E2%5C%20L)