For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:
Substituting we have:
We divide between 2 on both sides:
We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.
We have two roots:
We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.
We are given original equation: 
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
Answer:
The function g(x) is 
+ 4 and this is Translation Transformation .
Step-by-step explanation:
Given as :
The two functions f(x) and g(x) is as given
Function f(x) = 
And g(x) = f(3 x) + 4
Now, for x = 3 x
The function f(x) can be written as
f(3 x) =
So, g(x) = + 4
<u>While plotting the function f(x) and g(x) on the graph , the points translate from one to other quadrant , so this is a type of TRANSLATION TRANSFORMATION . </u>
Hence The function g(x) is + 4 and this is Translation Transformation . Answer
9000 is a 4 digit number that is divisible by 9 and 8. ( 9000/9 = 1000) and ( 9000/8 = 1125 )
48 books divided by 7 books per box. So since 7 can go into 48 6 times to make 42, the remainder is 6 books are left out. 6 boxes are filled. I interpreted the remainder by subtracting 42 from 48. And that's all I did. :)
I hope you like this answer and have a good night! :D
