Answer:
Michael's present age = p + 5
Michael's present age = 3p + 15
Sum of there ages 6 year age = 5p + 38
Sum of there ages 3 year ago = 5p - 11
Step-by-step explanation:
Assume;
Age of Rui Feng = x
Age of Micheal = x + 5
Age if Vishal = 3[x+5]
Given:
Age of Rui Feng = P
Computation:
Michael's present age = Age of Rui Feng + 5
Michael's present age = p + 5
Vishal's present age = 3[p + 5]
Michael's present age = 3p + 15
Sum of there ages 6 year age = [p + 6] + [p + 5 + 6] + 3[p + 5] + 6
Sum of there ages 6 year age = 5p + 38
Sum of there ages 3 year ago = [p - 3] + [p + 5 - 3] + 3[p + 5] - 3
Sum of there ages 3 year ago = 5p - 11
Answer:
D.No solution
Step-by-step explanation:
These two function are parallel (same slope) , so they would never intersect
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
