Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.
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Explanation:
If we could show that KL = c, then we can tie together the following pairs of segments
- EG = KM = a
- GF = ML = b
- EF = KL = c
Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.
Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.
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Notes:
- SSS = side side side
- CPCTC = corresponding parts of congruent triangles are congruent
The order of these numbers is 2, to 3, to 17. hope this helps :))
Answer:
either of ...
• quadrant 1 only
• quadrant 1 and 4 only
Step-by-step explanation:
Time since the storm started is always positive. The values of x are positive in quadrants 1 and 4.
Temperatures in a blizzard are not always terribly cold. Some of the coldest snowstorms on record have temperatures in the range of +5 °F to +18 °F. These values are negative temperatures on the Celsius scale, so the quadrant used for plotting them will depend on the temperature scale you choose.
While temperatures in Alaska can be well below zero (on either the F or C temperature scales), the air usually has to warm up to the range indicated above before it can snow. US temperatures are generally reported using the Fahrenheit scale, but weather records are often kept using the Celsius scale.
I would be inclined to choose "Quadrant 1 and 4 only", but arguments can be made for "1 only" and "4 only" as suggested above.
Answer:
a) x = {-2, 1, 3} are the zeros
b) y = (x +2)(x -1)(x -3)
c) y = x^3 -2x^2 -5x +6
Step-by-step explanation:
a) The zeros are the values of x where the graph crosses y=0. Those values are x = -2, x = 1, x = 3.
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b) If "a" is a zero, then (x-a) is a factor. The factored polynomial is ...
y = (x +2)(x -1)(x -3)
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c) This can be multiplied out using the distributive property several times.
y = (x +2)(x(x -3) -1(x -3))
= (x +2)(x^2 -3x -x +3)
= (x +2)(x^2 -4x +3)
= x(x^2 -4x +3) +2(x^2 -4x +3)
= x^3 -4x^2 +3x +2x^2 -8x +6
y = x^3 -2x^2 -5x +6
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The supplied graph apparently scales this vertically by a factor of 1/2, since its y-intercept is at (0, 3), not (0, 6).
Answer:
(x + 3)(x + 2)
Step-by-step explanation:
Given
x² + 5x + 6
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2 , since
3 × 2 = 6 and 3 + 2 = 5 , thus
x² + 5x + 6 = (x + 3)(x + 2)
