Answer:
- x-intercept: 82.75
- y-intercept: 2.15
Step-by-step explanation:
A graphing calculator can show you the intercepts.
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Or you can figure them out.
The y-intercept is where x=0, so is ...
y = log(12·0 +7) -3 = log(7) -3 ≈ -2.1549 ≈ -2.15
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The x-intercept is where y = 0, so is ...
0 = log(12x +7) -3
3 = log(12x +7) . . . . . . add 3
10^3 = 12x +7 . . . . . . . take the antilog
993 = 12x . . . . . . . . . . subtract 7
993/12 = x = 82.75 . . . divide by the coefficient of x
Answer:
When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.
Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Assume two sides of a triangle are:
And the angle between the two sides is:
When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:
Notice that the sides and angles do not change.
Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Red = 6
Blue = 3
Green = 5
Total = 14
First marble = 6/14 = 3/7 You now have 5 reds and 13 total
Second Marble = 5 * 13 which brings you down to 4 red and 12 total.
Third Marble = 4/12 = 1/3
Result
P(3 Red) = 3/7 * 5/13 * 1/3 cancel the 3s
P(3 Red) = 1/7 * 5/13
P(3 Red) = 5/91
P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.
Hello,
To solve we need to factor y^2-2y-35:
(y-7)(y+5)=0
Now solve for :
(When will (y-7)(y+5)equal zero?)
When y-7=0 or y+5=0
Solve for the 2 equations above and;
y= 7,-5
Hope this helps, have a great day!
