<h3><u>Part A</u></h3>
factor the common term 'y' and '-4'
collect into groups
<h3><u>Part B</u></h3>
middle term split
factor the common term '3x' and '-2'
collect into groups
simplify the following
Answer:
0.6625 in²
Step-by-step explanation:
The surface area of this figure will be the area of the base added to area of the triangles
Area of the 4 triangles
Area of a triangle is given by ;
where b is the base length and h is the height of the triangle
<u>Area of 1 triangle</u>
Given base length as 0.25 inches and height is 1.2 inches.
Area of all 4 triangles
- multiply the area of one triangle by 4
- 0.15*4=0.6 in²
<u>Area of the base</u>
The base is a square of length 0.25 inches
Area of a square=length×length
<u>Total surface area</u>
Total surface area= Area of the triangles + Area of the base
Let the length of one base = x. Length of other = x + 6.
Area = (1/2)*(Sum of bases ) * height
96 = (1/2) *(x + x + 6) * 8
96 = (2x + 6) * 4
96/4 = 2x + 6
24 = 2x + 6
2x + 6 = 24
2x = 24 - 6
2x = 18
x = 18/2
x = 9.
Length of bases are x, and x + 6. 9 and 9+6 = 15.
Lengths of bases are 9 and 15 inches.
Answer:
The absolute value inequality to represent the situation is presented as follows;
Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 400 words
The absolute deviation of the number of words Annika needs to write = 10 words
When we let the number of words Annika write = w, we have;
The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;
Therefore we have;
gives the statement, -10 < w - 400 < 10.
16-4=12
8x=12
÷8
x=12/8
x=3/2
x=1.5