Answer:
The slope of a horizontal line is 0.
If the line was verticle it would have an undefined slope.
<u>Answer:</u>
243 students are involved in either sports or music whereas 100 are not
involved in either of it.
<u>Step-by-step explanation:</u>
No. of students who are in music = 115
No. of students who are in sports = 197
No. of students who are in both activities = 69
So, no. of students who are involved either in sports or music,
= (115 + 197 - 69)
=243
So, no. of students who are not involved in either sports or music,
= (343 - 243)
=100
Answer:
5. r(x) is f(x) translated down 16 units
7. g(x) is f(x) vertically scaled by a factor of 2/5
Step-by-step explanation:
5. Adding a number to a function value translates that value up by the amount of the number. If the number is negative, the translation is downward. Adding -16 to x^2 translates the graph down 16 units.
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7. Multiplying a function value vertically scales the graph of the function by the multiplying factor. For factors greater than 1, the result is a vertical expansion; for factors less than 1, the result is vertical compression. Here, the function f(x) = x^2 is multiplied by 2/5, so the resulting g(x) is vertically scaled by a factor of 2/5 (compressed).
For a parabola, the effect is to make the graph appear "wider." Values some distance from the line of symmetry that would have been vertically off the page now appear on the page. Hence, the horizontal extent of the graph on the page has increased.
Answer:
32 cm
Step-by-step explanation:
Since this triangle (formed by construction) is a 45 45 90 triangle, this means that the ratio between one of the sides (a) and the hypotenuse (h) is <em><u>h = a * </u></em>
This means that all of the sides are 8 since 8 * is the diagonal. Multiply 8 by 4 to get your answer, 32 cm.
Answer:
y = 67°
Step-by-step explanation:
angles of rectangle are equal and 90°.
So,
23+y = 90
so, y = 67°
