Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
Answer:
3069
Step-by-step explanation:
q=6/3=2
s10=3(2^10-1)÷(2-1)=3×(1024-1)=
3069
because sn=a1(q^n-1)/(q-1)
Answer:
y intercept is 0,0 Slope is 15 equation is y=15x
Radius = 3 m
Cylinder Volume =<span> </span><span>π <span>• r² • height
</span></span>
Cylinder Volume =<span> 3.14159 * 3^2 * 5
</span><span><span><span>Cylinder Volume =<span> </span>141.372
</span></span></span>OR PI * 45
PART A
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form
