<h3>
Answer:</h3><h3>x=−8</h3><h3 />
Step-by-step explanation:
<h3>Let's solve your equation step-by-step.</h3>
−3x+10=34
<h3>Step 1: Subtract 10 from both sides.</h3>
−3x+10−10=34−10
−3x=24
<h3>Step 2: Divide both sides by -3.</h3><h3 />
−3x/−3 = 24/−3
<h3>x=−8</h3>
4x+y=10
y=10-4x
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Now y=f(x), so:
f(x)=10-4x
Volume of cone = 1/3 pi r(squared).h
Volume of Cylinder = pi r(squared).h
By the problem, they are equal.
So,
1/3 pi.12^2.12= pi 8^2.h
h= 144.4/64 =9
height of the cylinder is 9cms
Answer:
See the attached
Step-by-step explanation:
When in doubt, draw a diagram.
The orthocenter of this acute triangle will be within its bounds. That should tell you right away that the y-coordinate of it will not be 8, but must be between 2 and 6.
The line perpendicular to BC through A must have a y-intercept greater than the y-coordinate of A, so cannot be 5. Whatever it is, the y-coordinate of the orthocenter will be less, so again, your answer fails the reasonableness test.
The perpendicular line to BC through A is ...
... y = (-1/2)(x -2) +6 = -x/2 +7 . . . . . . looks like you had a sign error in (-1/2)(-2)
The intersection of that line and x=6 is ...
... y = -6/2 +7 = 4