<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:
Next, divide both sides by 2:
Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:
Next, factor the left side:
Next, square root both sides of the equation:
Next, add 4 to both sides of the equation:
Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.
<h2>Answer:</h2>
In exact form, your answer is 
In approximate form, your answers are (rounded to the hundreths) 
In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.
In an equilateral triangle, all the sides and all the angles are equal.
MN = NP = PM
∠M = ∠N = ∠P
Then we have
PM = MN
3x - 4 = 14
x = 17/3
We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have
∠N = 60
5y - 5 = 60
5y = 65
y = 13
More about the triangle link is given below.
brainly.com/question/25813512
#SPJ1
There are infinite solutions.
By observing the inequality, we can tell that the unknown number, n, is greater than the number 4.
Answer:
option D
Step-by-step explanation:
we have a right triangle
we know
c^2=a^2+b^2
c=hypotenuse
c=52 cm
a=48 cm
b= 20 cm
we substitute in the equation c^2=a^a+b^2
so we have
52^2=48^2+20^2
52= sqrt(48^2+20^2)
52= sqrt(2304+400)
52= sqrt(2704)
52cm=52cm
so c=52 cm
so the option D is the correct answer
