Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.
AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
The points are (-4,2) and (3,-4)
using y2-y1/x2-x1
-4-2/3-2
-6/1
slope (m) is -6
to find b part of equation (y=mx+b) plug in point value for x and y
2=-6(-4)+b (multiply -6 and -4)
2=24+b (subtract 24 over)
b=-22
final equation is y=-6x-22
Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:
Now let us simplify it:
Let us find the vertex now,
For a quadratic equation of the form:
For x coordinate , we have the formula,
So using this formula for our equation,
So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
Hey there! I'm happy to help!
Let's look at the factors of each of these numbers.
25
1,25
5,5
30
1,30
2,15
3,10
5,6
The greatest common factor between these is 5. Therefore, we divide 25+30 by 5 and put the 5 on the outside.
5(5+6).
This has the same value but it is just written differently.
Have a wonderful day! :D
Step-by-step explanation:
1 t=16/21
2.m=2
3.n=13/7
4.a=2
5.x=6/17
6.x=15
7.s=21/4
8. t=7/3
9. s=1
10. s=6/61
11. x=1/3
12. r=27/16
13. c=−1
14.m=9/5n
15. j=−117/58
