y=mx+b is the equation of a line;
m=slope , b= y-intercept
You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))
In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.
m= 7/2 ; so we have : y= (7/2)x+b
We are give a set of points which it passes through, we can simply plug them in:
4 = (7/2)(0)+b (0 is the x and 4 is the y)
We get 4 = 0 +b .... 4=b
our final equation is : y=(7/2)x+4
The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).
<h3>What is a polar coordinate?</h3>
A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
Next, we would determine the distance (r) and angle (θ) as follows:
r = √(3² + (-3)²)
r = √(9 + 9)
r = 3√2.
θ = tan⁻¹(-3/3)
θ = tan⁻¹(-1)
θ = 3π and 7π/4 (second and fourth quadrants).
Converting to degrees, we have:
θ = 135° and 315°.
Read more on polar coordinates here: brainly.com/question/3875211
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Complete Question:
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
Answer:
The last graph
Step-by-step explanation:
We transform functions in the following ways:
- multiplying the function by a number to stretch or shrink it
- multiplying by a negative to flip the orientation of the function
- adding/subtracting a value to the input x to shift it horizontally
- adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.
Looking at the equation we can see 
- Vertically shrunk by 0.5
- Negative leading coefficient to flip the graph's orientation
- Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
- Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)
The last graph has vertex (-3,-2) and satisfies the the equation.
Answer:
24
Step-by-step explanation:
x + 16
8 + 16
= 24
You just plug in 8 in the x place. Hope this helps, thank you !!
Answer:
shorter piece = 6. longer piece = 12
Step-by-step explanation:
short piece = s
long piece = l
l+s= 18
l= 6+s , substitute
6+s+s = 18
6+2s= 18
2s= 18-6
2s= 12
s=12/2
s= 6= shorter piece
l= 6+s
l= 6+6= 12 = longer piece
