Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X’Y’Z’ where X’(12, 21), Y’(-9, 24), and
-BARSIC- [3]
It is 3, the points are all 3 times greater
Answer:
6/21, 12/42
Step-by-step explanation:
Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework.
The number of hours she spends doing her maths homework is calculated as:
= 2/7 × 21
= 6 hours
The other fractions that could represent the amount of time Mary spends doing her math homework is given as:
6 hours/21 hours = 6/21
Also , that could be represented as:
12/42
Therefore, the other fractions that could represent the amount of time Mary spends doing her math homework is : 6/21 , 12/42
Answer:
246 ft is the maximum height
Step-by-step explanation:
The height h given above is a quadratic function. The graph of h as a function of time t gives a parabolic shape and the maximum height h occur at the vertex of the parabola. For a quadratic function of the form h = a t² + bt + c, the vertex is located at t = - b / 2a. Hence for h given above the vertex in the question s(t) = 124 + 64t − 16t², is at t
t = -64/2(-16) = 64/32 = 2 seconds
Thus, 2 seconds after the object was thrown, it reaches its highest point (maximum value of h) which is given by
h = -16(2)² + 64 (2) + 124 = 246eet
Answer:
12.3 mph
Step-by-step explanation:
17.9 - 5.6 = 12.3
Triangles with a 90 degree angle. We use the sine, cosine and tangent functions to determine the missing angles and sides.
