Answer:
Step-by-step explanation:
1. The slope-intercept form of a linear equation is 
, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula: 
3. Since we now know our slope, the equation looks like this so far: 
.
4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).
5. Now that we have the values of m and b, we plug in them to get the equation of: 
Answer:
1. I don't know how to solve that sorry :(
2. B. It is a diameter
3. 30° = q
4. I don't know sorry :(
Step-by-step explanation:
1. I don't know how to solve that sorry :(
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2. B. It is a diameter
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3. All triangles = 180°
180° = 60° + 90° + q
180° = 150° + q
180° - 150° = 150° - 150° + q
30° = q
180° = 60° + 90° + 30°
180° = 150° + 30°
180° = 180°
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4. I don't know sorry :(
Answer:
3pi
Step-by-step explanation:
First find the area of the entire circle
A = pi r^2
A = pi * 2^2
A = 4 pi
We know that this is 3/4 of a circle so multiply the area by the fraction of the circle
3/4 * 4 pi
3 pi
Answer:
y = (x/(1-x))√(1-x²)
Step-by-step explanation:
The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:
x = r·cos(θ)
y = r·sin(θ)
x² +y² = r²
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r = sec(θ) -2cos(θ)
r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)
r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²
(x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations
x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor
y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)
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The attached graph shows the equivalence of the polar and rectangular forms.
