Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = <u> - (-4) ± √(-4)² - 4(3)-55 </u>
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
Answer:
You may likely be charged an Overdraft fee or amount on each of the transactions carried out by you and you will have to repay the bank the overdrawn amount.
Step-by-step explanation:
Based on the information given we were told that you opt out of an overdraft protection which means that in a situation were you have the amount of $10 in your bank account in which you carried out some transactions with your debit card such as buying lunch for the amount of $12, movie ticket for the amount of $12 and as well dinner for the amount of $15 the end result is that their is likelihood of you to be charged an overdraft fee or an overdraft amount on each of the transaction carried out by you and secondly you will also need to repay or pay back the bank for the amount of money overdrawn which is $29 calculated as :
Amount overdrawn =[($12+$12+$15)-$10]
Amount overdrawn=$39-$10
Amount overdrawn =$29
Answer:
for the second question u have asked
Step-by-step explanation:
(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.
<h3>What is a perfect square?</h3>
A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The following are the answers
(5x + 3)(5x – 3) Difference of squares
(7x + 4)(7x + 4) is a Perfect square trinomial
(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.
(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.
(x – 9)(x – 9) is Perfect square trinomial
(–3x – 6)(–3x + 6) = 
Difference of squares.
Learn more about perfect square:
brainly.com/question/1415730
<span>The triangles are similar because they both have the same same angles.
Why? Because the two triangles are both right triangles and they both have another angle that is the same (as indicated by the circle fragment on the picture). That means that the last angle will be the same. Triangles are similar when they have the same angles but don't have to have the same lengths.
If the triangles are similar, the side lengths are in ratios. You are given the length of the side that corresponds with the third angle, which are 4 and 15. So the ratio of the lengths of the small to large triangle is 4:15. You are given another length (Height of Annie's eyes), which is 5. This can help you find the height of the house.
Let x=height of the house.
So 4/15 = 5/x
4x=5*15=75
x=75/4
x=18.75 ft
Hope this helps!</span><span>
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