Answer: The perimeter is going to increase 25% from the square to the pentagon.
Step-by-step explanation:
- A square is a quadrilateral having its all sides equal.
- A equilateral triangle is a triangle that has equal sides.
Let the side of the given square be x.
Perimeter of square =4x
If a square is changed into a pentagon by building an equilateral triangle on top of it , Then the base of equilateral triangle will occupy the same side-length as that of square.
Thus , the pentagon will become a regular pentagon having all its sides equal.
Perimeter of pentagon = 5(side)= 5x
Increase in perimeter = Perimeter of pentagon- Perimeter of square
= 5x-4x= x
Now , the percent increase in perimeter = 
Hence, the perimeter is going to increase 25% from the square to the pentagon.
X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
Answer:
A. (-6,-5)
Step-by-step explanation:
A: Correct because -6+-5=-11------True
and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +
so our new equation is -12+15=3-----True
-Your welcome and I hope this helps you, please rate 5 stars =D
Answer:
Step-by-step explanation:
Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:
<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>
- <u />
- Directrices ->
- Foci ->
where 
Since we are given our directrices of 
and foci of 
, then we can set up the directrices equation to solve for 
:
Now we can determine 
to complete our equation for the hyperbola:
Therefore, our equation for our hyperbola is
The statement, The hypotenuse is NOT located across from the right angle is false.
<h3>What is a right angled triangle? </h3>
A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.
Please find attached an image of a right-angled triangle. To learn more about a triangle, please check: brainly.com/question/9329354
