Answer: the vertex is (12,−144)
Step-by-step explanation:
Answer:
ax^2+bx=x(ax+b)
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Step-by-step explanation:
The length of the inside of the garden is<u> 50 feet.</u>
What is perimeter ?
A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.
There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.
Given :
The rectangular garden has a perimeter of 280 feet
breadth = 90 feet
Let the length be x.
Therefore according to the question,
2( 90 + x ) = 280
=> 90+ x = 140
=> x = 50
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Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
If I've read this correctly, it looks like this.
If that is correct, then the first step is to put the top part of the denominator over 3x
The next part is to flip a three tier fraction. I'm afraid I have to show what happens. My latex is not that strong.
What you get is
This is just about your final answer. You could write it as
