Answer:
-3.5
Step-by-step explanation:
It is halfway between -3 and -4
- R = -3 + (-4) / 2
- R = -7/2
- R = -3.5
For this case we have the following vector:
v = (- 8, 2)
Using product point we have:
v.v = (-8, 2). (- 8, 2)
v ^ 2 = (-8) * (- 8) + (2) * (2)
v ^ 2 = 64 + 4
v ^ 2 = 68
v = root (68)
v = root (4 * 17)
v = 2 * root (17)
Answer:
v = 2 * root (17)
option c
Answer: B and D
Step-by-step explanation:
First, solve the terms inside of the parenthesis. As a general rule, whenever you multiply two terms that have the same base, you can add their exponents.
Applying this rule, the base in the problem is 6, and the exponents are 3 and -4. The sum of 3 and -4 leaves -1. Therefore, this is one of our solutions:
![(6^-^1)^-^3](https://tex.z-dn.net/?f=%286%5E-%5E1%29%5E-%5E3)
When you have an exponential term raised to another exponent, you can simply multiply the exponents. In the previous solution given above, multiply -1 and -3 to get 3. Therefore our second solution is:
![6^3](https://tex.z-dn.net/?f=6%5E3)
You have a mortgage payment of 1248.90. using proportions, what is the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range
The solution is x=1 and y=-2
Further explanation:
Given equations are:
![\frac{7}{2}x-\frac{1}{2}y=\frac{9}{2}\\3x-y=5](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B2%7Dy%3D%5Cfrac%7B9%7D%7B2%7D%5C%5C3x-y%3D5)
Multiplying equation no. 1 with 2 will give us:
Eqn 3
From equation no 2:
![3x-y=5\\-y=5-3x\\y=3x-5](https://tex.z-dn.net/?f=3x-y%3D5%5C%5C-y%3D5-3x%5C%5Cy%3D3x-5)
Putting the value of y in eqn 3
![7x-(3x-5)=9\\7x-3x+5=9\\4x=9-5\\4x=4\\\frac{4x}{4}=\frac{4}{4}\\x=1\\Putting\ x=1\ in\ equation\ 2\\3(1)-y=5\\3-y=5\\-y=5-3\\-y=2\\y=-2\\](https://tex.z-dn.net/?f=7x-%283x-5%29%3D9%5C%5C7x-3x%2B5%3D9%5C%5C4x%3D9-5%5C%5C4x%3D4%5C%5C%5Cfrac%7B4x%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B4%7D%5C%5Cx%3D1%5C%5CPutting%5C%20x%3D1%5C%20in%5C%20equation%5C%202%5C%5C3%281%29-y%3D5%5C%5C3-y%3D5%5C%5C-y%3D5-3%5C%5C-y%3D2%5C%5Cy%3D-2%5C%5C)
The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
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