Answer:
The length of a side of the flag is 7.2inches
Step-by-step explanation:
Let length = x
Let hypotenuse = x+3
Using Pythagoras' Theorem:
x^2 + x^2 = (x+3)^2
x^2 + x^2 = x^2 + 6x + 9
2x^2 = x^2 + 6x + 9
×^2 - 6x - 9 = 0
x=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
×=[6+sqrt.72]/2
×=7.2inches
×=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
x=[6-sqrt.72]/2
×=-1.2(rej)
(PS. sqrt is square root)
(Correct me if i am wrong)
<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
--------
Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Answer: 9 in
Step-by-step explanation:
Answer:
Step-by-step explanation:
220/8=27.5
28 hours
Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.
The first parenthesis, let's solve. 7*10=70-5=65
The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50
65*50=3250
I hope this helps, and let me know if you need further assistance.
