1) Slope: (4-5)/(3-4)=1
Make a point slope equation: y=(x-4)+5
X-Intercept: -1 Plug 0 in for y and solve
Y-Intercept: 1 Plug 0 in for x and solve
2) Slope: (3-3)/(2-2)=Does Not Exist
You can't find any of these with only one point given
3) Slope: (4-1)/(5-3)=1.5
Write an equation in point slope form: y=1.5(x-3)+1
X-Intercept: 7/3 Plug in 0 for y and solve
Y-Intercept: -3.5 Plug in 0 for x and solve
4) Slope: (2-5)/(4-2)=-1.5
Write an equation in point slope form: y=-1.5(x-2)+5
X-Intercept: 16/3 Plug in 0 for y and solve
Y-Intercept: 8 Plug in 0 for x and solve
In the given diagram, the value of x is 15
<h3>Circle Geometry </h3>
From the question, we are to determine the value of x
From one of the circle theorems, we have that
Opposite angles of a cyclic quadrilateral are supplementary.
Thus, in the diagram
5x + 7x = 180°
12x = 180°
x = 180°/12
x = 15
Hence, the value of x is 15
Learn more on Circle Geometry here: brainly.com/question/27884509
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Answer:
45/51
Step-by-step explanation:
SOH CAH TOA
Sin x = Opposite/hyp
Cos x = Adjacent/hyp
Tan x = Opposite/Adjac
Here we're looking for Sin R, so we want to find opposite side over the hypotenuse.
Thus, 
Answer:
<70.71, -70.71>
Step-by-step explanation:
The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:
horizontal component = module * cos(angle)
horizontal component = 100 * cos(-45)
horizontal component = 70.71
vertical component = module * sin(angle)
vertical component = 100 * sin(-45)
vertical component = -70.71
So the vector in the component form is <70.71, -70.71>
The negative sign of the vertical component means its direction is downwards.
