Step-by-step explanation:
if the inequality < or >, graph the equatoon as a dotted lone. if the inequality is < or >, geaph the equation as a solid line. This line divides the xy- plane into two regions: a region that satosfoes the inequality, and a region that does not.
Answer:
130 centimeters
Completed question;
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.
Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?
A. 182 centimeters
B. 169 centimeters
C. 130 centimeters
D. 91 centimeters
Step-by-step explanation:
To determine the length of diagonal, we have to first find the length of each side;
According to the attached image;
The length consist of 8 tiles
And breadth consist of 6 tiles
Length per tile = 13 centimeters
Length = 8 × 13 = 104 centimeters
Breadth = 6×13 = 78 centimeters
Using Pythagoras theorem;
diagonal length d = √(104^2 + 78^2)
d = 130 centimeters
Interest charged: I=prn=6700*0.135*5 = 4522.50
Total re-payment: 6700+4522.50 = 11 222.50
Answer:
Option A is correct
(–5, –28)
Step-by-step explanation:
For a quadratic equation:
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
We know that convert of quadratic into vertex form, using the method of completing the square is,
![y = a(x-h)^2+k](https://tex.z-dn.net/?f=y%20%3D%20a%28x-h%29%5E2%2Bk)
where,
(h, k) is the vertex.
As per the statement:
The function ![f(x) = x^2 + 10x -3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B%2010x%20-3)
written in vertex form is:
![f(x) = (x+5)^2-28](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%2B5%29%5E2-28)
From the above definition we have;
h = -5 and k = -28
Therefore, the coordinates of the vertex is, (-5, -28)
Answer:
Answer for this is option a.