To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4
x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
answer:
2,558
step-by-step explanation:
the formula for the volume of a cone is v=πr²h/3
with that let us 'fill in' the formula-
v=π*9.6²*26.5/3
v=2,557.51
then since you've asked us to round the answer to the nearest whole number that would be 2,558
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Answer:
a. 36
Step-by-step explanation:
for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.
we check with the options
option a n=36 sutisfies the above condition.
(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36
Answer:
<em>(-6, 0) and (0, 1.5)</em>
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Step-by-step explanation:
The equation of the line in pint slope form is expressed as;
y-y0= m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 1/4
(x0, y0) = (6,3)
Substitute into the formula;
y - 3 = 1/4(x-6)
4(y-3) = x - 6
4y - 12 = x-6
4y - x = -6+12
4y - x = 6
x = 4y - 6
To get the points to plot, we will find the x and y-intercept of the resulting expression.
For the x-intercept,
at y = 0
x = 4(0) - 6
x = -6
Hence the x-intercept is at (-6, 0)
For the y-intercept,
at x = 0
0 = 4y - 6
4y = 6
y = 6/4
y = 3/2
y = 1.5
Hence the y-intercept is at (0, 1.5)
<em>Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)</em>
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