Answer:
well for me it's because
Step-by-step explanation:
Of the raise to power
Answer:
HERE IS YOUR ANSWER IN PICTURE.
Answer:
Assuming the similarity is that BC scales to EF, answer is
D. 1.5BC
Step-by-step explanation:
Because the triangles are smilar, AB/BC = DE/EF
If AB = 2BC
then DE = 2EF
but also DE = 3BC
so 2EF = 3BC
EF = 1.5BC
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in 
minutes, therefore she can solve number of questions into 
minutes.
She can read each page in 
minutes, therefore she can read pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find and intercept of each of the equation to graph them.
For 
put y=0
We will get 
Thus the point is 
Let us find 
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation
Here x-intercept would be at 
We will get
Thus the point is 
Let us assume on more point, say 
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus 
and 
First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.
You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
