Answer:
x=6 is not a solution
Step-by-step explanation:
We can substitute 6 as x to find out:
5(6-3)=6+13
first, because of PEMDAS we'll do 6-3
5(3)=6+13
multiply 5 by 3 and add 6 and 13
15=19
Since the statement is not true, that means that x=6 is not a solution
Hope this helps!
Answer:
Option B. (x+3) ^2+(y+4)^2=25
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
![(x-h)^{2}+(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
where
(h,k) is the center and r is the radius
step 1
Find the radius of the circle
Remember that the distance of the center and any point on the circle is equal to the radius of the circle
so
Find the distance between the points (-3,-4) and (0,0)
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
substitute
![r=\sqrt{(0+4)^{2}+(0+3)^{2}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%280%2B4%29%5E%7B2%7D%2B%280%2B3%29%5E%7B2%7D%7D)
![r=\sqrt{(4)^{2}+(3)^{2}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%284%29%5E%7B2%7D%2B%283%29%5E%7B2%7D%7D)
![r=\sqrt{25}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B25%7D)
![r=5\ units](https://tex.z-dn.net/?f=r%3D5%5C%20units)
step 2
Find the equation of the circle
![(x-h)^{2}+(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
the center is the point (-3,-4) and the radius is r=5 units
substitute
![(x+3)^{2}+(y+4)^{2}=5^{2}](https://tex.z-dn.net/?f=%28x%2B3%29%5E%7B2%7D%2B%28y%2B4%29%5E%7B2%7D%3D5%5E%7B2%7D)
![(x+3)^{2}+(y+4)^{2}=25](https://tex.z-dn.net/?f=%28x%2B3%29%5E%7B2%7D%2B%28y%2B4%29%5E%7B2%7D%3D25)
Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that
corresponding sides of similar triangles are in same proprtion .
![\frac{AB}{DC} = \frac{BP}{CR}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAB%7D%7BDC%7D%20%3D%20%5Cfrac%7BBP%7D%7BCR%7D%20)
that gives
7/10 = BP/11
7*11=10BP
BP=7.7
Again using the ratio rule
![\frac{AB}{DC} = \frac{AP}{DR}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAB%7D%7BDC%7D%20%3D%20%5Cfrac%7BAP%7D%7BDR%7D%20%20)
7/10 = AP/6
42 = 10AP
AP = 4.2
Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9
Correct option is A.
Answer:
4.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
A comparison between a function and its inverse would show that the domain and range of the original function swap. The domain of the function becomes the range of the inverse, the range of the function becomes the domain of its inverse.
Looking at ordered pairs of the function and its inverse would look like this:
(2,4) on the original function becomes (4,2) on the inverse.
While the graph of a function and its inverse are noticeably different an important thing to note is that it is merely a reflection across the line y=x.
So even though they appear different you are looking at the same relationship just as y vs. x instead of x vs. y
I hope this helped you because i barley understood this myself.
Read more on Brainly.com - brainly.com/question/2834818#readmore