Answer:
Right part: 
where 
Step-by-step explanation:
Linear equation have no solution if it is impossible for the equation to be true no matter what value we assign to the variable x.
The left part of the equation Tomas wrote is
The right part of the equation should be of the form
where
In this case, the equation will take look
Since 
this equality is always false.
Remark: 1) If a=8, the equation 
is equivalent to the equation
and the lest equation has infinitely many solutions.
2) When coefficient at x differs from 
the equation has unique solution.
Answer:
6√3 ±3 ≈ {7.392, 13.392}
Step-by-step explanation:
The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.
__
<h3>length of AB</h3>
Radii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.
A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...
AB = √(21² -3²) = √432 = 12√3
<h3>tangent circle radii</h3>
This is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...
6√3 ±3 ≈ {7.392, 13.392}
Answer:
Step-by-step explanation:
6A = 60°
6B = 34°
Answer:
looking at the straight line, it touches the axis at (-2,0) and (6,0)
Step-by-step explanation:
Find two factors of the last number that add up to the middle number.
a) two factors of 16 that add to 10: 8 and 2. Because 8x2=16 and 8+2=10. then do this:
(x+8)(x+2)
b) (x+4)(x+3)
c) (x+12)(x+1)
