Answer: 2.5
Step-by-step explanation:
Answer:
<em>The width is 4 cm</em>
<em>The length is 12 cm.</em>
Step-by-step explanation:
<u>Area of a rectangle</u>
Given a rectangle of width W and length L, its area is calculated as follows:
The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:
Simplifying:
Solving:
The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
The line on that graph is sloping down as it proceeds from
left to right, it drops 3 units for every 1 unit to the right, and
it crosses the y-axis at y=1 .
So the equation of that line is y = -3x + 1 .
Answer:
(-2x - 1) • (x + 3)
Step-by-step explanation:
3.2 Factoring 2x2 + 7x + 3
The first term is, 2x2 its coefficient is 2 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 7 .
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 6
2x2 + 1x + 6x + 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x+1)
Add up the last 2 terms, pulling out common factors :
3 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (2x+1)
Which is the desired factorization
B should be the right answer
