Answer:
x = 
Step-by-step explanation:
Given
5xy + a = c ( isolate 5xy by subtracting a from both sides )
5xy = c - a ( isolate x by dividing both sides by 5y )
x =
Answer:
1. 11/12
2. 1/2
3. 2/3
4. 3/4
5. 1
6. 4/5
7. 9/10
8. 3/5
Step-by-step explanation:
1. 11/12
2. 5/10= 1/2
3. 4/6=2/3
4. 6/8=3/4
5. 3/3=1
6. 4/5
7. 9/10
8. 3/5
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.
Answer:
12/4 is equal to 3
Step-by-step explanation:
I looked for numbers that were multiples of 4 and divided all of them to see which one was equal to 3.
12 divided by 4 = 3
Answer:
-5
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4 - -1)/( 9 - 10)
( 4+1)/( 9-10)
5/ -1
- 5
