I think it’s B but I’m not 100%
Answer:
y=2/3x+14
Step-by-step explanation:
The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14
The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:
0=2/3x+14
-14=2/3x
21=x
So the x-intercept is 21
<u>Answer-</u>
<em>The area of QRS is </em><em>238.7</em><em> sq units.</em>
<u>Solution-</u>
According to properties of supplementary angles,
![m\angle R+124=180\\\\m\angle Q+132=180](https://tex.z-dn.net/?f=m%5Cangle%20R%2B124%3D180%5C%5C%5C%5Cm%5Cangle%20Q%2B132%3D180)
So,
![\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48](https://tex.z-dn.net/?f=%5CRightarrow%20m%5Cangle%20R%3D180-124%3D56%2C%5C%20m%5Cangle%20Q%3D180-132%3D48)
As the sum of measurement of all the angles in a triangle is 180, so
![\Rightarrow m\angle S+m\angle R+m\angle Q=180](https://tex.z-dn.net/?f=%5CRightarrow%20m%5Cangle%20S%2Bm%5Cangle%20R%2Bm%5Cangle%20Q%3D180)
![\Rightarrow m\angle S=180-m\angle R-m\angle Q](https://tex.z-dn.net/?f=%5CRightarrow%20m%5Cangle%20S%3D180-m%5Cangle%20R-m%5Cangle%20Q)
![\Rightarrow m\angle S=180-56-48=76](https://tex.z-dn.net/?f=%5CRightarrow%20m%5Cangle%20S%3D180-56-48%3D76)
Then the area of the triangle will be,
![\text{Area}=\dfrac{1}{2}qr\sin S](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%3D%5Cdfrac%7B1%7D%7B2%7Dqr%5Csin%20S)
![=\dfrac{1}{2}\times 21\times 23.43\times \sin 76](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%2021%5Ctimes%2023.43%5Ctimes%20%5Csin%2076)
![=238.7\text{sq.units}](https://tex.z-dn.net/?f=%3D238.7%5Ctext%7Bsq.units%7D)
First you had to expanded form.
![-4(2a+5)=-8a-20](https://tex.z-dn.net/?f=-4%282a%2B5%29%3D-8a-20)
![9a-8a-20](https://tex.z-dn.net/?f=9a-8a-20)
Finally you can also add by similar to elements.
![9a-8a=a](https://tex.z-dn.net/?f=9a-8a%3Da)
![a-20](https://tex.z-dn.net/?f=a-20)
Final answer: ![\boxed{=a-20}](https://tex.z-dn.net/?f=%5Cboxed%7B%3Da-20%7D)
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie