9514 1404 393
Answer:

Step-by-step explanation:
First of all, subtract 12 from both sides of the equation to put it into standard form:
3x² +8x -12 = 0
Then identify the a, b, c of this form:
ax² +bx +c = 0
You see that a=3, b=8, c=-12.
Now use those values in the quadratic formula for the solutions:

Answer:
See explanation
Step-by-step explanation:
In triangles AKU and AVP,
- Angles AKU and AVP are congruent as inscribed angles subtended on the same arc PU
- ∠KAU and ∠VAP are congruent (actually these are the same angles).
AA similarity theorem: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
By AA similarity theorem, ΔAKU and ΔAVP are similar.
We can solve using y = 0 and solving for x.
81x + 18(0) = 9
81x = 9
x = 1/9
Therefore, the point (1/9, 0) sastisfies the equation.
Best of Luck!
<h3>
Answer: 21</h3>
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Work Shown:
The diagram shows that JK = 12 and GF = 2.5*(JK) = 2.5*12 = 30
The midsegment HL will be the average of the two lengths it is parallel to.
We'll add up the values and then cut the result in half
HL = (JK+GF)/2
HL = (12+30)/2
HL = 42/2
HL = 21