<h2>135 cubic feet of concrete are required to create the platform.</h2>
Step-by-step explanation:
The dimension of lower step is 6 ft× 3 ft× 1.5 ft
and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft
Therefore concrete are required to make lower step = (6×3×1.5) cubic feet
= 27 cubic feet
and concrete are required to make upper step = (6×6×3) cubic feet
=108 cubic feet
<h3>∴(108+27) cubic feet =
135 cubic feet of concrete are required.</h3>
ANSWER
EXPLANATION
The given function is:
Factor -3 for the first 2 terms.
We add and subtract the square of the coefficient of x.
Factor the perfect square trinomial.
The vertex form is:
Answer:
<h2>3 + 4(n - 1)</h2>
Step-by-step explanation:
let r be the common differenc of the sequence
Term 12 - Term 7 = (12 - 7)r
then
47 - 27 = 5r
then
20 = 5r
then
r = 4
term 7 = term 1 + (7 - 1)r
then
27 = term 1 + 6r = term 1 + 24
then
Term1 = 27 - 24 = 3
<em><u>therefore </u></em>
the standard explicit formula of the sequence is :
term 1 + (n - 1)r = 3 + 4(n - 1)
1st element can be matched with 5
2nd element can be matched with 4
3rd element can be matched with 3
etc.
Total number of correspondences = 5*4*3*2*1 = 120
Answer:
y-axis
Step-by-step explanation:
points are (x,y)
since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.
reflection just means it rotates 180 degrees (out of the paper, not around)
