Answer: 104 degrees farenheit
Step-by-step explanation: H = record high temperature. -5 + 109 = H. -5+109 = 109 + (-5) = 109-5 = 104. H = 104.
Answer:
I'm not completely sure, but I think it's D. 180-135=45
Answer:
x=-8 or x=-1 (first option)
Step-by-step explanation:
![\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\](https://tex.z-dn.net/?f=%5Csqrt%7B1-3x%7D%3Dx%2B3%5C%5C1-3x%3D%28x%2B3%29%5E%7B2%7D%20%5C%5C)
now expand the bracket on the right
![1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\](https://tex.z-dn.net/?f=1-3x%3Dx%5E%7B2%7D%20%2B6x%2B9%5C%5Csimplify%3A%5C%5C1-9%3Dx%5E2%2B6x%2B3x%5C%5C-8%3Dx%5E2%2B9x%5C%5C)
now make it a quadratic equation:
![x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8](https://tex.z-dn.net/?f=x%5E2%2B9x%2B8%3D0%5C%5Cfactorise%3A%5C%5C%28x%2B1%29%28x%2B8%29%5C%5Cso%3A%5C%5Cx%2B1%3D0%20%5C%5Cx%3D-1%5C%5C%5C%5Cand%20%5C%5Cx%2B8%3D0%5C%5Cx%3D-8)
Answer:
We conclude that the distance between the two numbers on a number line will be: 322
Step-by-step explanation:
Given the numbers
-212
-534
There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.
But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.
so
Distance between the numbers:
![\left|-212-\left(-534\right)\right|](https://tex.z-dn.net/?f=%5Cleft%7C-212-%5Cleft%28-534%5Cright%29%5Cright%7C)
Apply rule: -(-a) = a
![=\left|-212+534\right|](https://tex.z-dn.net/?f=%3D%5Cleft%7C-212%2B534%5Cright%7C)
![=\left|322\right|](https://tex.z-dn.net/?f=%3D%5Cleft%7C322%5Cright%7C)
Apply absolute rule: ![\left|a\right|=a,\:a\ge 0](https://tex.z-dn.net/?f=%5Cleft%7Ca%5Cright%7C%3Da%2C%5C%3Aa%5Cge%200)
![=322](https://tex.z-dn.net/?f=%3D322)
Therefore, we conclude that the distance between the two numbers on a number line will be: 322