Answer:
The answer is incorrect because 12 should be negative not positive.
Step-by-step explanation:
1. 19 + -31 = - 12
2. Twelve is negative because if you were to start off at -31 and add 19 the answer would remain negative since -31 in a sense is "bigger" than 19. You would need more of a positive number to make -31 positive such as 40.
40+ -31 = 9
Quadrant 4 is the correct answer, and it's the only
Answer:
Below.
Step-by-step explanation:
Triangles ABC and CDE are congruent by 2 angles and the corrrespnding side (AAS).
Therefore AC = CE.
So C is the midpoint of AE.
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
_____
<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.
We know, factorisation is the process of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now we should take x common from both the terms.
<u>Answer</u><u>:</u>
<u>x </u><u>(</u><u>x </u><u>+</u><u> </u><u>1</u><u>0</u><u>)</u>
Hope you could understand.
If you have any query, feel free to ask.
