A they’re parallel because they have same slope
The expression is equivalent to
.
<h2 /><h2>Given that</h2>
Expression; ![\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)](https://tex.z-dn.net/?f=%5Crm%202%28%5Cdfrac%7B3%7D%7B4%7Dx%2B7%29%20-3%28%5Cdfrac%7B1%7D%7B2%7Dx-5%29)
<h3>We have to determine</h3>
Which expressions are equivalent to the given expression.
<h3>According to the question</h3>
Expression; ![\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)](https://tex.z-dn.net/?f=%5Crm%202%28%5Cdfrac%7B3%7D%7B4%7Dx%2B7%29%20-3%28%5Cdfrac%7B1%7D%7B2%7Dx-5%29)
To solve the given expression follow all the steps given below.
By applying the distributive property of multiplication;
![\rm a(b+c) = ab+ac](https://tex.z-dn.net/?f=%5Crm%20a%28b%2Bc%29%20%3D%20ab%2Bac)
Then,
The equivalent expression is,
![\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\\ \\ \rm (2 \times \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\ \\ 2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\](https://tex.z-dn.net/?f=%5Crm%202%28%5Cdfrac%7B3%7D%7B4%7Dx%2B7%29%20-3%28%5Cdfrac%7B1%7D%7B2%7Dx-5%29%5C%5C%0A%5C%5C%0A%5Crm%20%282%20%5Ctimes%20%5Cdfrac%7B3%7D%7B4%7Dx%29%20%2B%202%287%29%20-3%28%5Cdfrac%7B1%7D%7B2%7Dx%29%20%2B%20%28-3%29%20%28-5%29%5C%5C%0A%5C%5C%0A2%28%20%5Cdfrac%7B3%7D%7B4%7Dx%29%20%2B%202%287%29%20-3%28%5Cdfrac%7B1%7D%7B2%7Dx%29%20%2B%20%28-3%29%20%28-5%29%5C%5C)
Hence, the expression is equivalent to
.
To know more about Equation click the link given below.
brainly.com/question/13174611
Answer:it is inconsistent
Step-by-step explanation:
Because you’re adding other numbers which means in other cases when not adding numbers it’s consistent
Answer:
it should be 13.3 I hope this help
The standard form of a circle is
![(x-h) ^{2} +(y-k) ^{2} = r^{2}](https://tex.z-dn.net/?f=%28x-h%29%20%5E%7B2%7D%20%2B%28y-k%29%20%5E%7B2%7D%20%3D%20r%5E%7B2%7D%20)
where h and k are the center and x and y are the coordinates you're given. We need to solve for the radius to finish this off correctly. Filling in, we have
![(5-0) ^{2} +(-4-0) ^{2} = r^{2}](https://tex.z-dn.net/?f=%285-0%29%20%5E%7B2%7D%20%2B%28-4-0%29%20%5E%7B2%7D%20%3D%20r%5E%7B2%7D%20)
and
![25+16= r^{2}](https://tex.z-dn.net/?f=25%2B16%3D%20r%5E%7B2%7D%20)
, giving us that
![r^{2}=41](https://tex.z-dn.net/?f=%20r%5E%7B2%7D%3D41%20)
. Therefore, our equation is