Answer:
<u>28.5 and 32.5</u>
Step-by-step explanation:
<em>create an equation to solve:</em>
x + (x+4) =61
2x + 4 = 61 combine like terms
2x = 57 subtract 4 from both sides
x = 28.5 divide 2 from both sides
28.5 is the smaller number
the larger number is 4 more so:
28.5 + 4 = 32.5
32.5 is the larger number
check your work:
28.5 + 32.5 = 61
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
Answer:
y=-5x+12
Step-by-step explanation:
just use a graphing calculator and basic knowledge of slope intercept form
The equation solution is y=1, so the two ordered pairs may contain any value of x and a value of 1 for y. (Ex: (-8,1) and (8,1))
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
