<span>Answer: two options apply: A and D.
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<span /><span /><span>A. As the y-intercept increases, the graph of the line shifts up.
D. As the y-intercept decreases, the graph of the line shifts down.
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<span>Justification:
</span><span>1) Take the slope-intercept equation of the line: y = f(x) = mx + b</span>
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</span><span>2) The y-intercept is b
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3) When b is increased, f(x) will increases too, that is f(x) will be higher or its graph will be shifted up, which is what the option A. states.
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<span>4) When b is decreased, f(x) will decreases too, that is f(x) will be lower or its graph will be shifted dOwn, which is what the option D states.
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<span>5) Regarding the options B and E, which deal with motions in the horizontal direction (left or righT), nothing can be said, as the effect of a change in the y -intercept on the horizontal direction will depend on the slope.
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<span>6) Regarding the option C, a change in the y-intercept does not change the slope (the steep of the line).
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Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
Answer:
A and C are correct.
Step-by-step explanation:
A: 15 + 26 is greater than 41 so it will form a triangle
B: 15 + 36 is not equal to 41 so it will not form a triangle
C: 15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right
triangle.
D: 15 squared + 36 squared = 297
41 squared = 82
A is correct because any 2 sides of a triangle must be greater than the third.
B is incorrect because it cannot equal the third side, but must be greater than.
C is correct because in a right triangle, the sum of the square of the legs must be equal to the square of the hypoteneuse.
D just does not make sense.
Answer:
it is 9
Step-by-step explanation:
adding 79 and 10 and subsequently subtracting 72 and 8 to get 9
