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Answer:
What is the point used in the equation of the line y+4=1/2(x-2)
The other format for straight-line equations is called the "point-slope" form. For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this formula:
y - y1 = m(x - x1)
Don't let the subscripts scare you. They are just intended to indicate the point they give you. You have the generic "x" and generic "y" that are always in your equation, and then you have the specific x and y from the point they gave you; the specific x and y are what is subscripted in the formula. Here's how you use the point-slope formula
They've given me m = 4, x1 = -1, and y1 = -6. I'll plug these values into the point-slope form, and solve for "y=":
y - y1 = m(x - x1)
y - (-6) = (4)(x - (-1))
y + 6 = 4(x + 1)
y + 6 = 4x + 4
y = 4x + 4 - 6
y = 4x - 2
Answer:
![x=5](https://tex.z-dn.net/?f=x%3D5)
Step-by-step explanation:
<u>Similar Triangles</u>
By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:
![\displaystyle \frac{45}{36}=\frac{5x}{20}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B45%7D%7B36%7D%3D%5Cfrac%7B5x%7D%7B20%7D)
Simplifying both fractions
![\displaystyle \frac{5}{4}=\frac{x}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7Bx%7D%7B4%7D)
Solving for x
![x=5](https://tex.z-dn.net/?f=x%3D5)
Answer:
C. II only
Step-by-step explanation:
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Answer:
113-2t√17
Step-by-step explanation: